Approximate Diagonalization

We describe a new method of computing functions of highly nonnormal matrices by using the concept of approximate diagonalization. We formulate a conjecture about its efficiency and provide both theoretical and numerical evidence in support of the conjecture. We apply the method to compute arbitrary...

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Vydáno v:	SIAM journal on matrix analysis and applications Ročník 29; číslo 4; s. 1051 - 1064
Hlavní autor:	Davies, E. B.
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Philadelphia, PA Society for Industrial and Applied Mathematics 01.01.2007
Témata:	Accuracy Algebra Eigenvalues Exact sciences and technology Linear and multilinear algebra, matrix theory Mathematical analysis Mathematics Numerical analysis Numerical analysis in abstract spaces Numerical analysis. Scientific computation Numerical linear algebra Operator theory Sciences and techniques of general use Diagonalization Support fractional powers ill-posedness Jordan matrices spectral theory; 65F22 47A52 47A60 Regularization method 15A42 functional calculus Numerical analysis Spectral theory Efficiency Linear algebra Fractional power 65F15 Matrices Ill posed problem 15A60 Computing method Regularization
ISSN:	0895-4798, 1095-7162
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