Document Zbl 0353.65027

A recurrence among the elements of functions of triangular matrices. (English) Zbl 0353.65027

Linear Algebra Appl. 14, 117-121 (1976).

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MSC:

65F99	Numerical linear algebra
15A15	Determinants, permanents, traces, other special matrix functions

Software:

Algorithm 432

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Full Text: DOI

References:

[1]	Bartels, R. H.; Stewart, G. W., Algorithm 432, solution of the matrix equation \(AX + XB =C\), Commun. Assoc. Comput. Mach., 15, 820-826 (1972) · Zbl 1372.65121
[2]	MacDuffee, C. C., The Theory of Matrices (1956), Chelsea · Zbl 0007.19507
[3]	Moler, C. B.; Stewart, G. W., An algorithm for generalized matrix eigenvalue problems, SIAM J. Numer. Anal., 10, 241-256 (1973) · Zbl 0253.65019
[4]	Parlett, B. N., Computation of functions of triangular matrices, (Memo. No. ERL-M481 (Nov. 1974), Univ. of Calif: Univ. of Calif Berkeley) · Zbl 0353.65027
[5]	Chan, S. P.; Feldman, R.; Parlett, B. N., A program to compute the condition numbers of matrix eigenvalues without computing eigenvectors, (Memo. No. ERL-517 (May 1975), Univ. of Calif: Univ. of Calif Berkeley) · Zbl 0353.65026

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