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Un algorithme d’inversion pour les matrices de Toeplitz par blocks. (French) Zbl 0381.65019

MSC:

65F05 Direct numerical methods for linear systems and matrix inversion
15A09 Theory of matrix inversion and generalized inverses
15-04 Software, source code, etc. for problems pertaining to linear algebra
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References:

[1] AKAIKE Hirotugu . - Bloch Toeplitz matrix inversion . - Siam J. Appl. Math. - Vol. 24 n^\circ 2. - (Mars 1973 ) p. 234-241. Zbl 0251.65024 · Zbl 0251.65024 · doi:10.1137/0124024
[2] BAREISS Erwin H. . - Numerical solution of linear equations with Toeplitz and Vector Toeplitz matrices . - Numr. Math. 13. - p. 404-424 ( 1969 ). Article | MR 40 #8234 | Zbl 0174.20401 · Zbl 0174.20401 · doi:10.1007/BF02163269
[3] EKSTROM Michal P. - An iterative Impvement Approach to the Numerical Solution of Vector Toeplitz Systems . - I.E.E.E. Trans, Cimp. - ( 1974 ) C. 23, n^\circ 3. - p. 320-325. Zbl 0289.65015 · Zbl 0289.65015 · doi:10.1109/T-C.1974.223929
[4] FACQ Paul . - Diffraction par des structures cylindriques périodiques limitées . - Ann. des Télécommunications. - T. 31, n^\circ 34 (Mars-Avril 1976 ).
[5] KUTIKOV L.-M. - The Structure of Matrices which are the inverse of the correlation matrices of random vector processes . - U.R.S.S. Comput. - Math and Math Phys. - 7 ( 1967 ) n^\circ 4, p. 58-71. Zbl 0251.15023 · Zbl 0251.15023 · doi:10.1016/0041-5553(67)90142-5
[6] ROBIN Guy . - Algorithme d’inversion d’une matrice de Toeplitz par blocs . - C.R.A.S. Paris t. 279. - (Oct. 1974 ) p. 659-662. MR 50 #15299 | Zbl 0294.65018 · Zbl 0294.65018
[7] TRENCH William F. - An algorithme for the inversion of finite Toeplitz matrices . - J. Soc. Indust. Appl. Math. - vol. 12, n^\circ 3. - ( 1964 ) p. 515-522. Zbl 0131.36002 · Zbl 0131.36002 · doi:10.1137/0112045
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