Wu, Pei Yuan; Gau, Hwa-Long Numerical ranges of operators and matrices. (English) Zbl 07806663 Moslehian, Mohammad Sal (ed.), Matrix and operator equations and applications. Cham: Springer. Math. Online First Collect., 413-439 (2023). MSC: 15A60 47A62 47A12 PDFBibTeX XMLCite \textit{P. Y. Wu} and \textit{H.-L. Gau}, in: Matrix and operator equations and applications. Cham: Springer. 413--439 (2023; Zbl 07806663) Full Text: DOI
Gau, Hwa-Long; Li, Chi-Kwong; Wang, Kuo-Zhong; Wu, Pei Yuan Extremality of bounds for numerical radii of Foguel operators. (English) Zbl 07725220 J. Math. Anal. Appl. 528, No. 1, Article ID 127484, 18 p. (2023). MSC: 47Bxx 47Axx 15Axx PDFBibTeX XMLCite \textit{H.-L. Gau} et al., J. Math. Anal. Appl. 528, No. 1, Article ID 127484, 18 p. (2023; Zbl 07725220) Full Text: DOI
Chen, Shu-sheng; Li, Jin-ping; Yuan, Wu; Gao, Zheng-hong Nonlinear entropy stable Riemann solver with heuristic logarithmic pressure augmentation for supersonic and hypersonic flows. (English) Zbl 07691965 Comput. Math. Appl. 141, 33-41 (2023). MSC: 65-XX 35L65 65M12 76M12 65M06 76L05 35L67 PDFBibTeX XMLCite \textit{S.-s. Chen} et al., Comput. Math. Appl. 141, 33--41 (2023; Zbl 07691965) Full Text: DOI
Wu, Pei Yuan; Gau, Hwa-Long Which set is the numerical range of an operator? (English) Zbl 1516.47015 Acta Sci. Math. 88, No. 1-2, 527-545 (2022). Reviewer: John D. Dixon (Ottawa) MSC: 47A12 47B20 47B35 47-02 PDFBibTeX XMLCite \textit{P. Y. Wu} and \textit{H.-L. Gau}, Acta Sci. Math. 88, No. 1--2, 527--545 (2022; Zbl 1516.47015) Full Text: DOI
Gau, Hwa-Long; Wu, Pei Yuan Numerical ranges of Hankel matrices. (English) Zbl 1493.15072 Linear Algebra Appl. 650, 60-74 (2022). MSC: 15A60 47A12 15B05 47B35 PDFBibTeX XMLCite \textit{H.-L. Gau} and \textit{P. Y. Wu}, Linear Algebra Appl. 650, 60--74 (2022; Zbl 1493.15072) Full Text: DOI
Chen, Shu-sheng; Li, Jin-ping; Li, Zheng; Yuan, Wu; Gao, Zheng-hong Anti-dissipation pressure correction under low Mach numbers for Godunov-type schemes. (English) Zbl 07518105 J. Comput. Phys. 456, Article ID 111027, 22 p. (2022). MSC: 76Mxx 65Mxx 76Nxx PDFBibTeX XMLCite \textit{S.-s. Chen} et al., J. Comput. Phys. 456, Article ID 111027, 22 p. (2022; Zbl 07518105) Full Text: DOI
Gau, Hwa-Long; Wang, Kuo-Zhong; Wu, Pei Yuan Numerical range of the Foguel-Halmos operator. (English) Zbl 07500270 Stud. Math. 263, No. 3, 267-291 (2022). Reviewer: Janko Bračič (Ljubljana) MSC: 47A12 47B37 PDFBibTeX XMLCite \textit{H.-L. Gau} et al., Stud. Math. 263, No. 3, 267--291 (2022; Zbl 07500270) Full Text: DOI
Ma, Wenpeng; Hu, Yiwen; Yuan, Wu; Liu, Xiazhen Developing a multi-GPU-enabled preconditioned GMRES with inexact triangular solves for block sparse matrices. (English) Zbl 1512.65052 Math. Probl. Eng. 2021, Article ID 6804723, 17 p. (2021). MSC: 65F10 65F50 65Y10 PDFBibTeX XMLCite \textit{W. Ma} et al., Math. Probl. Eng. 2021, Article ID 6804723, 17 p. (2021; Zbl 1512.65052) Full Text: DOI
Gau, Hwa-Long; Wu, Pei Yuan Numerical ranges of Hilbert space operators. (English) Zbl 1506.47002 Encyclopedia of Mathematics and its Applications 179. Cambridge: Cambridge University Press (ISBN 978-1-108-47906-6/hbk; 978-1-108-78229-6/ebook). xviii, 483 p. (2021). Reviewer: Carlos S. Kubrusly (Rio de Janeiro) MSC: 47-02 47A12 47B02 PDFBibTeX XMLCite \textit{H.-L. Gau} and \textit{P. Y. Wu}, Numerical ranges of Hilbert space operators. Cambridge: Cambridge University Press (2021; Zbl 1506.47002) Full Text: DOI
Gau, Hwa-Long; Wang, Kuo-Zhong; Wu, Pei Yuan Numerical ranges of Foguel operators. (English) Zbl 07311330 Linear Algebra Appl. 610, 766-784 (2021). MSC: 47A12 15A60 47B37 PDFBibTeX XMLCite \textit{H.-L. Gau} et al., Linear Algebra Appl. 610, 766--784 (2021; Zbl 07311330) Full Text: DOI
Choi, Man-Duen; Wu, Pei Yuan Products of two normal operators. (English) Zbl 1444.47032 Adv. Oper. Theory 5, No. 3, 768-778 (2020). MSC: 47B02 47B15 47A53 47A58 PDFBibTeX XMLCite \textit{M.-D. Choi} and \textit{P. Y. Wu}, Adv. Oper. Theory 5, No. 3, 768--778 (2020; Zbl 1444.47032) Full Text: DOI
Yu, Jian; Yan, Chao; Jiang, Zhenhua; Yuan, Wu; Chen, Shusheng Adaptive non-intrusive reduced order modeling for compressible flows. (English) Zbl 1453.76118 J. Comput. Phys. 397, Article ID 108855, 27 p. (2019). MSC: 76M12 65M08 68T05 35B30 76N15 PDFBibTeX XMLCite \textit{J. Yu} et al., J. Comput. Phys. 397, Article ID 108855, 27 p. (2019; Zbl 1453.76118) Full Text: DOI
Gau, Hwa-Long; Wang, Kuo-Zhong; Wu, Pei Yuan Constant norms and numerical radii of matrix powers. (English) Zbl 1432.15018 Oper. Matrices 13, No. 4, 1035-1054 (2019). MSC: 15A60 47A12 47A30 PDFBibTeX XMLCite \textit{H.-L. Gau} et al., Oper. Matrices 13, No. 4, 1035--1054 (2019; Zbl 1432.15018) Full Text: DOI
Wu, Xiao-long; Xu, Yuan-wu; Xue, Tao; Shuai, Junchao; Jiang, Jianhua; Deng, Zhonghua; Fu, Xiaowei; Li, Xi Control-oriented fault detection of solid oxide fuel cell system unknown input on fuel supply. (English) Zbl 1432.93255 Asian J. Control 21, No. 4, 1824-1835 (2019). MSC: 93C95 93B53 PDFBibTeX XMLCite \textit{X.-l. Wu} et al., Asian J. Control 21, No. 4, 1824--1835 (2019; Zbl 1432.93255) Full Text: DOI
Liang, Shan; Zhang, Jian; Liu, Xia-Zhen; Hu, Xiao-Dong; Yuan, Wu Domain decomposition based exponential time differencing method for fluid dynamics problems with smooth solutions. (English) Zbl 1458.76070 Comput. Fluids 194, Article ID 104307, 11 p. (2019). MSC: 76M20 65M55 PDFBibTeX XMLCite \textit{S. Liang} et al., Comput. Fluids 194, Article ID 104307, 11 p. (2019; Zbl 1458.76070) Full Text: DOI
Gau, Hwa-Long; Wang, Kuo-Zhong; Wu, Pei Yuan Equality of numerical ranges of matrix powers. (English) Zbl 1422.15008 Linear Algebra Appl. 578, 95-110 (2019). Reviewer: Jan-David Hardtke (Leipzig) MSC: 15A60 47A12 PDFBibTeX XMLCite \textit{H.-L. Gau} et al., Linear Algebra Appl. 578, 95--110 (2019; Zbl 1422.15008) Full Text: DOI
Gau, Hwa-Long; Wu, Pei Yuan Equality of three numerical radius inequalities. (English) Zbl 1410.15044 Linear Algebra Appl. 554, 51-67 (2018). Reviewer: Jaspal Singh Aujla (Jalandhar) MSC: 15A60 47A12 PDFBibTeX XMLCite \textit{H.-L. Gau} and \textit{P. Y. Wu}, Linear Algebra Appl. 554, 51--67 (2018; Zbl 1410.15044) Full Text: DOI
Abu-Omar, Amer; Wu, Pei Yuan Scalar approximants of quadratic operators with applications. (English) Zbl 1462.47001 Oper. Matrices 12, No. 1, 253-262 (2018). MSC: 47A12 47B02 PDFBibTeX XMLCite \textit{A. Abu-Omar} and \textit{P. Y. Wu}, Oper. Matrices 12, No. 1, 253--262 (2018; Zbl 1462.47001) Full Text: DOI
Gau, Hwa-Long; Wu, Pei Yuan Operators with real parts at least \(-1/2\). (English) Zbl 1387.15021 Linear Multilinear Algebra 65, No. 10, 1988-1999 (2017). MSC: 15A60 47A12 47A20 PDFBibTeX XMLCite \textit{H.-L. Gau} and \textit{P. Y. Wu}, Linear Multilinear Algebra 65, No. 10, 1988--1999 (2017; Zbl 1387.15021) Full Text: DOI
Gau, Hwa-Long; Wu, Pei Yuan Lower bounds for the numerical radius. (English) Zbl 1375.15035 Oper. Matrices 11, No. 4, 999-1014 (2017). MSC: 15A60 PDFBibTeX XMLCite \textit{H.-L. Gau} and \textit{P. Y. Wu}, Oper. Matrices 11, No. 4, 999--1014 (2017; Zbl 1375.15035) Full Text: DOI
Gau, Hwa-Long; Wu, Pei Yuan Numerical ranges of products of two positive contractions. (English) Zbl 1370.65027 J. Math. Anal. Appl. 455, No. 2, 939-946 (2017). MSC: 65J10 47A12 PDFBibTeX XMLCite \textit{H.-L. Gau} and \textit{P. Y. Wu}, J. Math. Anal. Appl. 455, No. 2, 939--946 (2017; Zbl 1370.65027) Full Text: DOI
Gau, Hwa-Long; Wang, Kuo-Zhong; Wu, Pei Yuan Crawford numbers of companion matrices. (English) Zbl 1356.15008 Oper. Matrices 10, No. 4, 863-880 (2016). Reviewer: Tin Yau Tam (Auburn) MSC: 15A60 PDFBibTeX XMLCite \textit{H.-L. Gau} et al., Oper. Matrices 10, No. 4, 863--880 (2016; Zbl 1356.15008) Full Text: DOI
Gau, Hwa-Long; Wu, Pei Yuan Zero-dilation index of \(S_n\)-matrix and companion matrix. (English) Zbl 1365.15030 Electron. J. Linear Algebra 31, 666-678 (2016). Reviewer: Jorma K. Merikoski (Tampere) MSC: 15A60 47A20 PDFBibTeX XMLCite \textit{H.-L. Gau} and \textit{P. Y. Wu}, Electron. J. Linear Algebra 31, 666--678 (2016; Zbl 1365.15030) Full Text: DOI
Gau, Hwa-Long; Wang, Kuo-Zhong; Wu, Pei Yuan Numerical ranges of row stochastic matrices. (English) Zbl 1346.15021 Linear Algebra Appl. 506, 478-505 (2016). MSC: 15A60 15B51 PDFBibTeX XMLCite \textit{H.-L. Gau} et al., Linear Algebra Appl. 506, 478--505 (2016; Zbl 1346.15021) Full Text: DOI
Gau, Hwa-Long; Wu, Pei Yuan Numerical radius of Hadamard product of matrices. (English) Zbl 1336.15013 Linear Algebra Appl. 504, 292-308 (2016). MSC: 15A60 15B48 PDFBibTeX XMLCite \textit{H.-L. Gau} and \textit{P. Y. Wu}, Linear Algebra Appl. 504, 292--308 (2016; Zbl 1336.15013) Full Text: DOI
Gau, Hwa-Long; Wu, Pei Yuan Extremality of numerical radii of matrix products. (English) Zbl 1334.15056 Linear Algebra Appl. 501, 17-36 (2016). MSC: 15A60 15A27 PDFBibTeX XMLCite \textit{H.-L. Gau} and \textit{P. Y. Wu}, Linear Algebra Appl. 501, 17--36 (2016; Zbl 1334.15056) Full Text: DOI
Gau, Hwa-Long; Wang, Kuo-Zhong; Wu, Pei Yuan Circular numerical ranges of partial isometries. (English) Zbl 1354.47007 Linear Multilinear Algebra 64, No. 1, 14-35 (2016). Reviewer: Matthew C. Lettington (Cardiff) MSC: 47A12 15A60 PDFBibTeX XMLCite \textit{H.-L. Gau} et al., Linear Multilinear Algebra 64, No. 1, 14--35 (2016; Zbl 1354.47007) Full Text: DOI
Wu, P. Y.; Gau, H.-L. Upper and lower bounds for numerical radii of block shifts. (English) Zbl 1373.15037 Bull. Iran. Math. Soc. 41, No. 7, 15-27 (2015). MSC: 15A60 47A12 PDFBibTeX XMLCite \textit{P. Y. Wu} and \textit{H. L. Gau}, Bull. Iran. Math. Soc. 41, No. 7, 15--27 (2015; Zbl 1373.15037) Full Text: arXiv Link
Gau, Hwa-Long; Wang, Kuo-Zhong; Wu, Pei Yuan Numerical radii for tensor products of matrices. (English) Zbl 1332.15050 Linear Multilinear Algebra 63, No. 10, 1916-1936 (2015). Reviewer: Tin Yau Tam (Auburn) MSC: 15A60 15B48 15A69 15A45 PDFBibTeX XMLCite \textit{H.-L. Gau} et al., Linear Multilinear Algebra 63, No. 10, 1916--1936 (2015; Zbl 1332.15050) Full Text: DOI arXiv
Zhou, Yuan-Wu; Liu, Jin-Long; Yu, Zu-Guo; Zhao, Zhi-Qin; Anh, Vo Fractal and complex network analyses of protein molecular dynamics. (English) Zbl 1395.92118 Physica A 416, 21-32 (2014). MSC: 92D20 37N25 PDFBibTeX XMLCite \textit{Y.-W. Zhou} et al., Physica A 416, 21--32 (2014; Zbl 1395.92118) Full Text: DOI arXiv
Gau, Hwa-Long; Wu, Pei Yuan Excursions in numerical ranges. (English) Zbl 1302.15026 Bull. Inst. Math., Acad. Sin. (N.S.) 9, No. 3, 351-370 (2014). MSC: 15A60 PDFBibTeX XMLCite \textit{H.-L. Gau} and \textit{P. Y. Wu}, Bull. Inst. Math., Acad. Sin. (N.S.) 9, No. 3, 351--370 (2014; Zbl 1302.15026) Full Text: Link
Gau, Hwa-Long; Wu, Pei Yuan Power partial isometry index and ascent of a finite matrix. (English) Zbl 1309.15057 Linear Algebra Appl. 459, 136-144 (2014). MSC: 15B99 15A18 PDFBibTeX XMLCite \textit{H.-L. Gau} and \textit{P. Y. Wu}, Linear Algebra Appl. 459, 136--144 (2014; Zbl 1309.15057) Full Text: DOI arXiv
Choi, Man-Duen; Wu, Pei Yuan Sums of orthogonal projections. (English) Zbl 1292.47013 J. Funct. Anal. 267, No. 2, 384-404 (2014). MSC: 47B15 47B10 47A58 PDFBibTeX XMLCite \textit{M.-D. Choi} and \textit{P. Y. Wu}, J. Funct. Anal. 267, No. 2, 384--404 (2014; Zbl 1292.47013) Full Text: DOI
Gau, Hwa-Long; Wang, Kuo-Zhong; Wu, Pei Yuan Numerical radii for tensor products of operators. (English) Zbl 1303.47008 Integral Equations Oper. Theory 78, No. 3, 375-382 (2014). Reviewer: Ilya Spitkovsky (Williamsburg) MSC: 47A12 47A80 47B20 47A20 PDFBibTeX XMLCite \textit{H.-L. Gau} et al., Integral Equations Oper. Theory 78, No. 3, 375--382 (2014; Zbl 1303.47008) Full Text: DOI
Gau, Hwa-Long; Wu, Pei Yuan Structures and numerical ranges of power partial isometries. (English) Zbl 1286.15028 Linear Algebra Appl. 440, 325-341 (2014). MSC: 15A60 15A21 PDFBibTeX XMLCite \textit{H.-L. Gau} and \textit{P. Y. Wu}, Linear Algebra Appl. 440, 325--341 (2014; Zbl 1286.15028) Full Text: DOI arXiv
Gau, Hwa-Long; Wang, Kuo-Zhong; Wu, Pei Yuan Zero-dilation index of a finite matrix. (English) Zbl 1292.15021 Linear Algebra Appl. 440, 111-124 (2014). MSC: 15A60 PDFBibTeX XMLCite \textit{H.-L. Gau} et al., Linear Algebra Appl. 440, 111--124 (2014; Zbl 1292.15021) Full Text: DOI arXiv
Gau, Hwa-Long; Wu, Pei Yuan Zero-dilation indices of KMS matrices. (English) Zbl 1301.47011 Ann. Funct. Anal. 5, No. 1, 30-35 (2014). Reviewer: Carlos S. Kubrusly (Rio de Janeiro) MSC: 47A20 15B05 15A60 PDFBibTeX XMLCite \textit{H.-L. Gau} and \textit{P. Y. Wu}, Ann. Funct. Anal. 5, No. 1, 30--35 (2014; Zbl 1301.47011) Full Text: DOI EMIS
Cheng, Geng-Dong; Cai, Yuan-Wu; Xu, Liang Novel implementation of homogenization method to predict effective properties of periodic materials. (English) Zbl 1346.74158 Acta Mech. Sin. 29, No. 4, 550-556 (2013). MSC: 74Q15 35Q74 35B27 PDFBibTeX XMLCite \textit{G.-D. Cheng} et al., Acta Mech. Sin. 29, No. 4, 550--556 (2013; Zbl 1346.74158) Full Text: DOI
Gau, Hwa-Long; Wu, Pei Yuan Numerical ranges of KMS matrices. (English) Zbl 1313.15037 Acta Sci. Math. 79, No. 3-4, 583-610 (2013). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 15A60 PDFBibTeX XMLCite \textit{H.-L. Gau} and \textit{P. Y. Wu}, Acta Sci. Math. 79, No. 3--4, 583--610 (2013; Zbl 1313.15037) Full Text: arXiv
Gau, Hwa-Long; Wu, Pei Yuan Numerical ranges and compressions of \(S_{n}\)-matrices. (English) Zbl 1278.15026 Oper. Matrices 7, No. 2, 465-476 (2013). Reviewer: Tin Yau Tam (Auburn) MSC: 15A60 PDFBibTeX XMLCite \textit{H.-L. Gau} and \textit{P. Y. Wu}, Oper. Matrices 7, No. 2, 465--476 (2013; Zbl 1278.15026) Full Text: DOI Link
Gau, Hwa-Long; Wu, Pei Yuan Higher-rank numerical ranges and Kippenhahn polynomials. (English) Zbl 1262.15026 Linear Algebra Appl. 438, No. 7, 3054-3061 (2013). Reviewer: Maryam Khosravi (Kerman) MSC: 15A60 15A15 PDFBibTeX XMLCite \textit{H.-L. Gau} and \textit{P. Y. Wu}, Linear Algebra Appl. 438, No. 7, 3054--3061 (2013; Zbl 1262.15026) Full Text: DOI arXiv
Wang, Kuo-Zhong; Wu, Pei Yuan Diagonals and numerical ranges of weighted shift matrices. (English) Zbl 1261.15032 Linear Algebra Appl. 438, No. 1, 514-532 (2013). Reviewer: Alexey Alimov (Moskva) MSC: 15A60 15A21 PDFBibTeX XMLCite \textit{K.-Z. Wang} and \textit{P. Y. Wu}, Linear Algebra Appl. 438, No. 1, 514--532 (2013; Zbl 1261.15032) Full Text: DOI
Chang, Chi-Tung; Gau, Hwa-Long; Wang, Kuo-Zhong; Wu, Pei Yuan Numerical ranges and Geršgorin discs. (English) Zbl 1259.15034 Linear Algebra Appl. 438, No. 3, 1170-1192 (2013). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 15A60 15A42 PDFBibTeX XMLCite \textit{C.-T. Chang} et al., Linear Algebra Appl. 438, No. 3, 1170--1192 (2013; Zbl 1259.15034) Full Text: DOI
Lejosne, Yohan; Slock, Dirk; Yi, Yuan-Wu Degrees of freedom in the MISO BC with delayed-CSIT and finite coherence time: optimization of the number of users. (English) Zbl 1451.94025 6th international conference on network games, control and optimization, NetGCooP 2012, Avignon, France, November 28–30, 2012. Proceedings. Piscataway, NJ: IEEE. 80-85 (2012). MSC: 94A40 PDFBibTeX XMLCite \textit{Y. Lejosne} et al., in: 6th international conference on network games, control and optimization, NetGCooP 2012, Avignon, France, November 28--30, 2012. Proceedings. Piscataway, NJ: IEEE. 80--85 (2012; Zbl 1451.94025) Full Text: Link
Jiang, Zhenhua; Yan, Chao; Yu, Jian; Yuan, Wu Hermite WENO-based limiters for high order discontinuous Galerkin method on unstructured grids. (English) Zbl 1288.76044 Acta Mech. Sin. 28, No. 2, 241-252 (2012). MSC: 76M10 76M20 76N15 PDFBibTeX XMLCite \textit{Z. Jiang} et al., Acta Mech. Sin. 28, No. 2, 241--252 (2012; Zbl 1288.76044) Full Text: DOI
Gau, Hwa-Long; Wu, Pei Yuan Noncircular elliptic discs as numerical ranges of nilpotent operators. (English) Zbl 1259.47008 Linear Multilinear Algebra 60, No. 11-12, 1225-1233 (2012). Reviewer: Janko Bračič (Ljubljana) MSC: 47A12 15A60 PDFBibTeX XMLCite \textit{H.-L. Gau} and \textit{P. Y. Wu}, Linear Multilinear Algebra 60, No. 11--12, 1225--1233 (2012; Zbl 1259.47008) Full Text: DOI
Zhu, Xiaojing; Zhou, Yuanwu; Gong, Yi; Cai, Xueji; Zhang, Xianghua A particle swarm optimization algorithm based on a diversity strategy. (Chinese. English summary) Zbl 1249.68224 J. Guangxi Univ. Technol. 22, No. 1, 74-77 (2011). MSC: 68T20 PDFBibTeX XMLCite \textit{X. Zhu} et al., J. Guangxi Univ. Technol. 22, No. 1, 74--77 (2011; Zbl 1249.68224)
Wu, Pei Yuan Numerical ranges as circular discs. (English) Zbl 1235.15024 Appl. Math. Lett. 24, No. 12, 2115-2117 (2011). Reviewer: Alexey Alimov (Moskva) MSC: 15A60 15A18 PDFBibTeX XMLCite \textit{P. Y. Wu}, Appl. Math. Lett. 24, No. 12, 2115--2117 (2011; Zbl 1235.15024) Full Text: DOI
Wang, Kuo-Zhong; Wu, Pei Yuan Numerical ranges of weighted shifts. (English) Zbl 1257.47010 J. Math. Anal. Appl. 381, No. 2, 897-909 (2011). MSC: 47A12 47B37 PDFBibTeX XMLCite \textit{K.-Z. Wang} and \textit{P. Y. Wu}, J. Math. Anal. Appl. 381, No. 2, 897--909 (2011; Zbl 1257.47010) Full Text: DOI
Tsai, Ming Cheng; Wu, Pei Yuan Numerical ranges of weighted shift matrices. (English) Zbl 1214.15015 Linear Algebra Appl. 435, No. 2, 243-254 (2011). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 15A60 PDFBibTeX XMLCite \textit{M. C. Tsai} and \textit{P. Y. Wu}, Linear Algebra Appl. 435, No. 2, 243--254 (2011; Zbl 1214.15015) Full Text: DOI
Xu, Shengli; Cai, Yuanwu; Cheng, Gengdong Volume preserving nonlinear density filter based on Heaviside functions. (English) Zbl 1274.74419 Struct. Multidiscip. Optim. 41, No. 4, 495-505 (2010). MSC: 74P15 74P05 65K05 PDFBibTeX XMLCite \textit{S. Xu} et al., Struct. Multidiscip. Optim. 41, No. 4, 495--505 (2010; Zbl 1274.74419) Full Text: DOI
Wang, Kuo-Zhong; Wu, Pei Yuan; Gau, Hwa-Long Crawford numbers of powers of a matrix. (English) Zbl 1215.15027 Linear Algebra Appl. 433, No. 11-12, 2243-2254 (2010). Reviewer: Wai-Shun Cheung (Hong Kong) MSC: 15A60 15A18 PDFBibTeX XMLCite \textit{K.-Z. Wang} et al., Linear Algebra Appl. 433, No. 11--12, 2243--2254 (2010; Zbl 1215.15027) Full Text: DOI
Gau, Hwa-Long; Wu, Pei Yuan Defect indices of powers of a contraction. (English) Zbl 1191.47012 Linear Algebra Appl. 432, No. 11, 2824-2833 (2010). Reviewer: Ilie Valuşescu (Bucureşti) MSC: 47A45 15A03 47A30 PDFBibTeX XMLCite \textit{H.-L. Gau} and \textit{P. Y. Wu}, Linear Algebra Appl. 432, No. 11, 2824--2833 (2010; Zbl 1191.47012) Full Text: DOI
Gau, Hwa-Long; Li, Chi-Kwong; Wu, Pei Yuan Higher-rank numerical ranges and dilations. (English) Zbl 1212.15022 J. Oper. Theory 63, No. 1, 181-189 (2010). Reviewer: Mihail M. Konstantinov (Sofia) MSC: 15A21 15A60 PDFBibTeX XMLCite \textit{H.-L. Gau} et al., J. Oper. Theory 63, No. 1, 181--189 (2010; Zbl 1212.15022)
Gau, Hwa-Long; Wu, Pei Yuan Unitary part of a contraction. (English) Zbl 1192.47009 J. Math. Anal. Appl. 366, No. 2, 700-705 (2010). Reviewer: Ilie Valuşescu (Bucureşti) MSC: 47A53 47A45 PDFBibTeX XMLCite \textit{H.-L. Gau} and \textit{P. Y. Wu}, J. Math. Anal. Appl. 366, No. 2, 700--705 (2010; Zbl 1192.47009) Full Text: DOI
Wang, Kuo Zhong; Wu, Pei Yuan Numerical ranges of radial Toeplitz operators on Bergman space. (English) Zbl 1194.47006 Integral Equations Oper. Theory 65, No. 4, 581-591 (2009). Reviewer: Yiu Tung Poon (Ames) MSC: 47A12 47B35 PDFBibTeX XMLCite \textit{K. Z. Wang} and \textit{P. Y. Wu}, Integral Equations Oper. Theory 65, No. 4, 581--591 (2009; Zbl 1194.47006) Full Text: DOI
Yang, Renhuan; Song, Aiguo; Yuan, Wujie Enhancement of spike synchrony in Hindmarsh-Rose neural networks by randomly rewiring connections. (English) Zbl 1177.92008 Mod. Phys. Lett. B 23, No. 11, 1405-1414 (2009). MSC: 92C20 65C20 PDFBibTeX XMLCite \textit{R. Yang} et al., Mod. Phys. Lett. B 23, No. 11, 1405--1414 (2009; Zbl 1177.92008) Full Text: DOI
Gau, Hwa-Long; Wu, Pei Yuan Inner functions of numerical contractions. (English) Zbl 1165.47007 Linear Algebra Appl. 430, No. 8-9, 2182-2191 (2009). Reviewer: V. Lokesha (Bangalore) MSC: 47A12 47B38 PDFBibTeX XMLCite \textit{H.-L. Gau} and \textit{P. Y. Wu}, Linear Algebra Appl. 430, No. 8--9, 2182--2191 (2009; Zbl 1165.47007) Full Text: DOI
Wu, Pei Yuan; Gau, Hwa-Long; Tsai, Ming Cheng Numerical radius inequality for \(C_0\) contractions. (English) Zbl 1157.47005 Linear Algebra Appl. 430, No. 5-6, 1509-1516 (2009). Reviewer: V. Lokesha (Bangalore) MSC: 47A12 47A45 PDFBibTeX XMLCite \textit{P. Y. Wu} et al., Linear Algebra Appl. 430, No. 5--6, 1509--1516 (2009; Zbl 1157.47005) Full Text: DOI
Ipsen, Ilse (ed.); Moro, Julio (ed.); Šemrl, Peter (ed.); Shao, Jia-Yu (ed.); Wu, Pei Yuan (ed.) Special issue devoted to the 14th ILAS (International Linear Algebra Society) conference, Shanhai, China, July 16–20, 2007. (English) Zbl 1157.15300 Linear Algebra Appl. 430, No. 5-6, 1441-1724 (2009). MSC: 15-06 00B25 PDFBibTeX XML
Yuan, Wu-Jie; Luo, Xiao-Shu; Jiang, Pin-Qun; Wang, Bing-Hong; Fang, Jin-Qing Stability of two typical complex dynamical networks. (English) Zbl 1154.93446 Int. J. Mod. Phys. B 22, No. 5, 553-560 (2008). MSC: 93E35 37N35 PDFBibTeX XMLCite \textit{W.-J. Yuan} et al., Int. J. Mod. Phys. B 22, No. 5, 553--560 (2008; Zbl 1154.93446) Full Text: DOI
Gau, Hwa-Long; Huang, Chin-Ying; Wu, Pei Yuan Numerical radius inequalities for square-zero and idempotent operators. (English) Zbl 1191.47005 Oper. Matrices 2, No. 1, 137-141 (2008). Reviewer: Yiu Tung Poon (Ames) MSC: 47A12 47A30 PDFBibTeX XMLCite \textit{H.-L. Gau} et al., Oper. Matrices 2, No. 1, 137--141 (2008; Zbl 1191.47005) Full Text: DOI
Gau, Hwa-Long; Wu, Pei Yuan Numerical ranges of nilpotent operators. (English) Zbl 1139.47008 Linear Algebra Appl. 429, No. 4, 716-726 (2008). MSC: 47A12 15A60 PDFBibTeX XMLCite \textit{H.-L. Gau} and \textit{P. Y. Wu}, Linear Algebra Appl. 429, No. 4, 716--726 (2008; Zbl 1139.47008) Full Text: DOI
Gau, Hwa-Long; Wu, Pei Yuan Line segments and elliptic arcs on the boundary of a numerical range. (English) Zbl 1136.15020 Linear Multilinear Algebra 56, No. 1-2, 131-142 (2008). Reviewer: Janko Bračič (Ljubljana) MSC: 15A60 PDFBibTeX XMLCite \textit{H.-L. Gau} and \textit{P. Y. Wu}, Linear Multilinear Algebra 56, No. 1--2, 131--142 (2008; Zbl 1136.15020) Full Text: DOI
Gau, Hwa-Long; Wu, Pei Yuan Fredholmness of linear combinations of two idempotents. (English) Zbl 1147.47011 Integral Equations Oper. Theory 59, No. 4, 579-583 (2007). Reviewer: Vladimir S. Pilidi (Rostov-na-Donu) MSC: 47A53 PDFBibTeX XMLCite \textit{H.-L. Gau} and \textit{P. Y. Wu}, Integral Equations Oper. Theory 59, No. 4, 579--583 (2007; Zbl 1147.47011) Full Text: DOI
Gau, Hwa-Long; Wu, Pei Yuan Numerical ranges of companion matrices. (English) Zbl 1128.15017 Linear Algebra Appl. 421, No. 2-3, 202-218 (2007). Reviewer: Alexey Alimov (Moskva) MSC: 15A60 PDFBibTeX XMLCite \textit{H.-L. Gau} and \textit{P. Y. Wu}, Linear Algebra Appl. 421, No. 2--3, 202--218 (2007; Zbl 1128.15017) Full Text: DOI
Wu, Pei Yuan Polar decompositions of \(C_0(N)\) contractions. (English) Zbl 1109.47011 Integral Equations Oper. Theory 56, No. 4, 559-569 (2006). MSC: 47A45 47A20 15A23 PDFBibTeX XMLCite \textit{P. Y. Wu}, Integral Equations Oper. Theory 56, No. 4, 559--569 (2006; Zbl 1109.47011) Full Text: DOI
Gau, Hwa-Long; Wu, Pei Yuan Anderson’s theorem for compact operators. (English) Zbl 1107.47005 Proc. Am. Math. Soc. 134, No. 11, 3159-3162 (2006). MSC: 47A12 47B07 PDFBibTeX XMLCite \textit{H.-L. Gau} and \textit{P. Y. Wu}, Proc. Am. Math. Soc. 134, No. 11, 3159--3162 (2006; Zbl 1107.47005) Full Text: DOI
Choi, Man-Duen; Wu, Pei Yuan Finite-rank perturbations of positive operators and isometries. (English) Zbl 1087.47014 Stud. Math. 173, No. 1, 73-79 (2006). MSC: 47A55 47B15 47A20 PDFBibTeX XMLCite \textit{M.-D. Choi} and \textit{P. Y. Wu}, Stud. Math. 173, No. 1, 73--79 (2006; Zbl 1087.47014) Full Text: DOI
Gau, Hwa-Long; Wu, Pei Yuan Numerical range of a normal compression. II. (English) Zbl 1067.15026 Linear Algebra Appl. 390, 121-136 (2004). Reviewer: Fuad Kittaneh (Amman) MSC: 15A60 47A20 PDFBibTeX XMLCite \textit{H.-L. Gau} and \textit{P. Y. Wu}, Linear Algebra Appl. 390, 121--136 (2004; Zbl 1067.15026) Full Text: DOI
Gau, Hwa-Long; Wu, Pei Yuan Numerical range of a normal compression. (English) Zbl 1066.15027 Linear Multilinear Algebra 52, No. 3-4, 195-201 (2004). Reviewer: Fuad Kittaneh (Amman) MSC: 15A60 15A18 47A20 PDFBibTeX XMLCite \textit{H.-L. Gau} and \textit{P. Y. Wu}, Linear Multilinear Algebra 52, No. 3--4, 195--201 (2004; Zbl 1066.15027) Full Text: DOI
Gau, Hwa-Long; Wu, Pei Yuan Companion matrices: Reducibility, numerical ranges and similarity to contractions. (English) Zbl 1063.15025 Linear Algebra Appl. 383, 127-142 (2004). Reviewer: Michal Zajac (Bratislava) MSC: 15A60 15A21 PDFBibTeX XMLCite \textit{H.-L. Gau} and \textit{P. Y. Wu}, Linear Algebra Appl. 383, 127--142 (2004; Zbl 1063.15025) Full Text: DOI
Gau, Hwa-Long; Wu, Pei Yuan Numerical range circumscribed by two polygons. (English) Zbl 1061.15023 Linear Algebra Appl. 382, 155-170 (2004). Reviewer: Michal Zajac (Bratislava) MSC: 15A60 51A05 PDFBibTeX XMLCite \textit{H.-L. Gau} and \textit{P. Y. Wu}, Linear Algebra Appl. 382, 155--170 (2004; Zbl 1061.15023) Full Text: DOI
Gau, Hwa-Long; Wu, Pei Yuan Numerical range and Poncelet property. (English) Zbl 1051.15019 Taiwanese J. Math. 7, No. 2, 173-193 (2003). Reviewer: Alexey Alimov (Moskva) MSC: 15A60 47A12 14H99 47B37 PDFBibTeX XMLCite \textit{H.-L. Gau} and \textit{P. Y. Wu}, Taiwanese J. Math. 7, No. 2, 173--193 (2003; Zbl 1051.15019) Full Text: DOI
Chien, Mao-Ting; Tso, Shu-Hsien; Wu, Pei Yuan Higher dimensional numerical ranges of quadratic operators. (English) Zbl 1019.47005 J. Oper. Theory 49, No. 1, 153-171 (2003). MSC: 47A12 15A60 PDFBibTeX XMLCite \textit{M.-T. Chien} et al., J. Oper. Theory 49, No. 1, 153--171 (2003; Zbl 1019.47005)
Gau, Hwa-Long; Wu, Pei Yuan Finite Blaschke products of contractions. (English) Zbl 1030.47004 Linear Algebra Appl. 368, 359-370 (2003). Reviewer: Leonid Golinskii (Kharkov) MSC: 47A30 15A60 47B35 PDFBibTeX XMLCite \textit{H.-L. Gau} and \textit{P. Y. Wu}, Linear Algebra Appl. 368, 359--370 (2003; Zbl 1030.47004) Full Text: DOI
Gau, Hwa-Long; Wu, Pei Yuan Condition for the numerical range to contain an elliptic disc. (English) Zbl 1026.15018 Linear Algebra Appl. 364, 213-222 (2003). Reviewer: Wu Pei Yuan (Hsinchu) MSC: 15A60 PDFBibTeX XMLCite \textit{H.-L. Gau} and \textit{P. Y. Wu}, Linear Algebra Appl. 364, 213--222 (2003; Zbl 1026.15018) Full Text: DOI
Fang, Jun Shen; Jiang, Chun-Lan; Wu, Pei Yuan Direct sums of irreducible operators. (English) Zbl 1033.47006 Stud. Math. 155, No. 1, 37-49 (2003). MSC: 47A15 47C15 PDFBibTeX XMLCite \textit{J. S. Fang} et al., Stud. Math. 155, No. 1, 37--49 (2003; Zbl 1033.47006) Full Text: DOI
Wu, Pei Yuan Numerical ranges of compressions of the shift. (English) Zbl 1036.15019 Kubrusly, Carlos (ed.) et al., Semigroups of operators: theory and applications. Proceedings of the 2nd international conference, Rio de Janeiro, Brazil, September 10–14, 2001. New York, NY: Optimization Software Inc., Publications (ISBN 0-911575-11-1/hbk). 351-356 (2002). MSC: 15A60 PDFBibTeX XMLCite \textit{P. Y. Wu}, in: Semigroups of operators: theory and applications. Proceedings of the 2nd international conference, Rio de Janeiro, Brazil, September 10--14, 2001. New York, NY: Optimization Software Inc., Publications. 351--356 (2002; Zbl 1036.15019)
Wu, Pei Yuan Numerical range of Aluthge transform of operator. (English) Zbl 1028.47003 Linear Algebra Appl. 357, No. 1-3, 295-298 (2002). Reviewer: Eungil Ko (Seoul) MSC: 47A12 15A60 PDFBibTeX XMLCite \textit{P. Y. Wu}, Linear Algebra Appl. 357, No. 1--3, 295--298 (2002; Zbl 1028.47003) Full Text: DOI
Li, Chi-Kwong; Tam, Bit-Shun; Wu, Pei Yuan The numerical range of a nonnegative matrix. (English) Zbl 1003.15027 Linear Algebra Appl. 350, No. 1-3, 1-23 (2002). Reviewer: Alexey Alimov (Moskva) MSC: 15A60 15B48 PDFBibTeX XMLCite \textit{C.-K. Li} et al., Linear Algebra Appl. 350, No. 1--3, 1--23 (2002; Zbl 1003.15027) Full Text: DOI
Lee, Yuh-Jia (ed.); Lin, Bor-Luh (ed.); Shaw, Sen-Yen (ed.); Shih, Mau-Hisang (ed.); Wu, Pei-Yuan (ed.) International conference on mathematical analysis and its applications. Selected papers. Proceedings of the conference (ICMAA 2000) held at National Sun Yat-Sen University, Kaohsiung, Taiwan, January 17–21, 2000. (English) Zbl 0983.00035 Taiwanese J. Math. 5, No. 1, 206 p. (2001). MSC: 00B25 PDFBibTeX XMLCite \textit{Y.-J. Lee} (ed.) et al., Taiwanese J. Math. 5, No. 1, 206 p. (2001; Zbl 0983.00035) Full Text: DOI
Wu, Pei Yuan Polygons and numerical ranges. (English) Zbl 0985.51016 Am. Math. Mon. 107, No. 6, 528-540 (2000). Reviewer: Rolf Riesinger (Wien) MSC: 51N10 51N15 15A60 47A12 PDFBibTeX XMLCite \textit{P. Y. Wu}, Am. Math. Mon. 107, No. 6, 528--540 (2000; Zbl 0985.51016) Full Text: DOI
Wu, Pei Yuan; Takahashi, Katsutoshi Dilation to unilateral shifts. (English) Zbl 0981.47007 Balakrishnan, A. V. (ed.), Semigroups of operators: theory and applications. Proceedings of the international conference in Newport Beach, CA, USA, December 14-18, 1998. Basel: Birkhäuser. Prog. Nonlinear Differ. Equ. Appl. 42, 364-367 (2000). Reviewer: P.C.Sinha (Patna) MSC: 47A20 PDFBibTeX XMLCite \textit{P. Y. Wu} and \textit{K. Takahashi}, Prog. Nonlinear Differ. Equ. Appl. 42, 364--367 (2000; Zbl 0981.47007)
Tso, Shu-Hsien; Wu, Pei Yuan Matricial ranges of quadratic operators. (English) Zbl 0957.47005 Rocky Mt. J. Math. 29, No. 3, 1139-1152 (1999). Reviewer: Mahmoud Kutkut (Amman) MSC: 47A12 47A20 47B99 PDFBibTeX XMLCite \textit{S.-H. Tso} and \textit{P. Y. Wu}, Rocky Mt. J. Math. 29, No. 3, 1139--1152 (1999; Zbl 0957.47005) Full Text: DOI Link
Gau, Hwa-Long; Wu, Pei Yuan Lucas’ theorem refined. (English) Zbl 0942.15019 Linear Multilinear Algebra 45, No. 4, 359-373 (1999). Reviewer: Alexey Alimov (Moskva) MSC: 15A60 30C15 30D50 47A12 PDFBibTeX XMLCite \textit{H.-L. Gau} and \textit{P. Y. Wu}, Linear Multilinear Algebra 45, No. 4, 359--373 (1999; Zbl 0942.15019) Full Text: DOI
Wu, Pei Yuan; Takahashi, Katsutoshi Singular unitary dilations. (English) Zbl 0920.47006 Integral Equations Oper. Theory 33, No. 2, 231-247 (1999). MSC: 47A20 47A45 PDFBibTeX XMLCite \textit{P. Y. Wu} and \textit{K. Takahashi}, Integral Equations Oper. Theory 33, No. 2, 231--247 (1999; Zbl 0920.47006) Full Text: DOI
Jiang, Chun-Lan; Wu, Pei Yuan Sums of strongly irreducible operators. (English) Zbl 0979.47006 Houston J. Math. 24, No. 3, 467-481 (1998). Reviewer: Michal Zajac (Bratislava) MSC: 47A15 47A65 47B99 PDFBibTeX XMLCite \textit{C.-L. Jiang} and \textit{P. Y. Wu}, Houston J. Math. 24, No. 3, 467--481 (1998; Zbl 0979.47006)
Gau, Hwa-Long; Wu, Pei Yuan Dilation to inflations of \(S(\phi)\). (English) Zbl 0943.47006 Linear Multilinear Algebra 45, No. 2-3, 109-123 (1998). MSC: 47A20 47A12 PDFBibTeX XMLCite \textit{H.-L. Gau} and \textit{P. Y. Wu}, Linear Multilinear Algebra 45, No. 2--3, 109--123 (1998; Zbl 0943.47006) Full Text: DOI
Gau, Hwa-Long; Wu, Pei Yuan Numerical range of \(S(\phi)\). (English) Zbl 0918.15008 Linear Multilinear Algebra 45, No. 1, 49-73 (1998). Reviewer: Alexey Alimov (Moskva) MSC: 15A60 47A12 PDFBibTeX XMLCite \textit{H.-L. Gau} and \textit{P. Y. Wu}, Linear Multilinear Algebra 45, No. 1, 49--73 (1998; Zbl 0918.15008) Full Text: DOI
Takahashi, Katsutoshi; Wu, Pei Yuan Dilation to the unilateral shifts. (English) Zbl 0918.47011 Integral Equations Oper. Theory 32, No. 1, 101-113 (1998). MSC: 47A20 47A45 PDFBibTeX XMLCite \textit{K. Takahashi} and \textit{P. Y. Wu}, Integral Equations Oper. Theory 32, No. 1, 101--113 (1998; Zbl 0918.47011) Full Text: DOI
Wu, Pei Yuan A numerical range characterization of Jordan blocks. (English) Zbl 0898.15023 Linear Multilinear Algebra 43, No. 4, 351-361 (1998). Reviewer: J.D.Dixon (Ottawa) MSC: 15A60 15A21 PDFBibTeX XMLCite \textit{P. Y. Wu}, Linear Multilinear Algebra 43, No. 4, 351--361 (1998; Zbl 0898.15023) Full Text: DOI
Wu, Pei Yuan Unitary dilations and numerical ranges. (English) Zbl 0885.47002 J. Oper. Theory 38, No. 1, 25-42 (1997). MSC: 47A20 PDFBibTeX XMLCite \textit{P. Y. Wu}, J. Oper. Theory 38, No. 1, 25--42 (1997; Zbl 0885.47002)
Fong, Che Kao; Wu, Pei Yuan Band-diagonal operators. (English) Zbl 0862.47010 Linear Algebra Appl. 248, 185-204 (1996). MSC: 47A66 PDFBibTeX XMLCite \textit{C. K. Fong} and \textit{P. Y. Wu}, Linear Algebra Appl. 248, 185--204 (1996; Zbl 0862.47010) Full Text: DOI
Wu, Pei Yuan Diagonal unitary dilations of contractions. (English) Zbl 0912.47004 Fong, Yuen (ed.) et al., Proceedings of the international mathematics conference ’94, Kaohsiung, Taiwan, Province of China, December 2-5, 1994. Singapore: World Scientific Publishing. 219-226 (1996). MSC: 47A20 47A55 47A45 PDFBibTeX XMLCite \textit{P. Y. Wu}, in: Proceedings of the international mathematics conference '94, Kaohsiung, Taiwan, Province of China, December 2-5, 1994. Singapore: World Scientific Publishing. 219--226 (1996; Zbl 0912.47004)
Wu, Pei Yuan Sums and products of cyclic operators. (English) Zbl 0816.47015 Proc. Am. Math. Soc. 122, No. 4, 1053-1063 (1994). MSC: 47A65 47A05 47A66 PDFBibTeX XMLCite \textit{P. Y. Wu}, Proc. Am. Math. Soc. 122, No. 4, 1053--1063 (1994; Zbl 0816.47015) Full Text: DOI
Wang, Jin-Hsien; Wu, Pei Yuan Difference and similarity models of two idempotent operators. (English) Zbl 0803.47021 Linear Algebra Appl. 208-209, 257-282 (1994). MSC: 47A65 47A45 PDFBibTeX XMLCite \textit{J.-H. Wang} and \textit{P. Y. Wu}, Linear Algebra Appl. 208--209, 257--282 (1994; Zbl 0803.47021) Full Text: DOI
Wu, Pei Yuan Additive combinations of special operators. (English) Zbl 0814.47001 Zemánek, Jaroslav (ed.), Functional analysis and operator theory. Proceedings of the 39th semester at the Stefan Banach International Mathematical Center in Warsaw, Poland, held March 2-May 30, 1992. Warsaw: Polish Academy of Sciences, Banach Cent. Publ. 30, 337-361 (1994). MSC: 47A05 47A63 PDFBibTeX XMLCite \textit{P. Y. Wu}, Banach Cent. Publ. 30, 337--361 (1994; Zbl 0814.47001)
Fong, Che Kao; Wu, Pei Yuan Diagonal operators: Dilation, sum and product. (English) Zbl 0819.47047 Acta Sci. Math. 57, No. 1-4, 125-138 (1993). Reviewer: W.D.Evans (Cardiff) MSC: 47B40 47B15 PDFBibTeX XMLCite \textit{C. K. Fong} and \textit{P. Y. Wu}, Acta Sci. Math. 57, No. 1--4, 125--138 (1993; Zbl 0819.47047)
Wu, Peiyuan; Hou, Jinchuan; Gao, Mingchu; Zhang, Xiuling Products of diagonal operators. (English) Zbl 0795.47012 Chin. Sci. Bull. 38, No. 4, 265-268 (1993). Reviewer: H.R.Dowson (Glasgow) MSC: 47B15 47B40 47A53 PDFBibTeX XMLCite \textit{P. Wu} et al., Chin. Sci. Bull. 38, No. 4, 265--268 (1993; Zbl 0795.47012)