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Roots of real matrices. (English) Zbl 0455.65031


MSC:

65F30 Other matrix algorithms (MSC2010)
65F15 Numerical computation of eigenvalues and eigenvectors of matrices

Citations:

Zbl 0407.65017
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Full Text: DOI

References:

[1] Beavers, A. N.; Denman, E. D., The matrix sign function and computations in systems, Appl. Math. and Comp., 2, 63-94 (1976) · Zbl 0398.65023
[2] Hoskins, W. D.; Walton, D. J., A faster, more stable method for computing the \(P\) th roots of positive definite matrices, Linear Algebra and Appl., 26, 139-164 (1979) · Zbl 0407.65017
[3] Roberts, J. D., Linear model reduction, and solution of algebraic matrix Riccati equations by use of the sign function, (CUED/B-Control/TRB, Rept. (1971), Cambridge Univ.) · Zbl 0463.93050
[4] Hoskins, W. D.; Walton, D. J., A faster method of computing the square root of a matrix, IEEE Trans. Automatic Control, AC-23, 494-495 (1978) · Zbl 0378.65028
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