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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Vydané v:	Numerical algorithms Ročník 90; číslo 3; s. 905 - 930
Hlavní autori:	Kubelík, P., Kurbatov, V. G., Kurbatova, I. V.
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	New York Springer US 01.07.2022 Springer Nature B.V
Predmet:	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
On-line prístup:	Získať plný text
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