Calculating a function of a matrix with a real spectrum

Let T be a square matrix with a real spectrum, and let f be an analytic function. The problem of the approximate calculation of f ( T ) is discussed. Applying the Schur triangular decomposition and the reordering, one can assume that T is triangular and its diagonal entries t i i are arranged in inc...

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Bibliographic Details
Published in:	Numerical algorithms Vol. 90; no. 3; pp. 905 - 930
Main Authors:	Kubelík, P., Kurbatov, V. G., Kurbatova, I. V.
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.07.2022 Springer Nature B.V
Subjects:	Accuracy Algebra Algorithms Analytic functions Computer Science Decomposition Eigenvalues Mathematical analysis Numeric Computing Numerical Analysis Original Paper Polynomials Theory of Computation Divided differences Multiprecision arithmetic Schur–Parlett algorithm Polynomial interpolation MSC 97N50 MSC 65F60 Matrix function Reordering
ISSN:	1017-1398, 1572-9265
Online Access:	Get full text
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