A continuation of singular values of a parameter-dependent matrix

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60461373%3A22340%2F05%3A00014845" target="_blank" >RIV/60461373:22340/05:00014845 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

A continuation of singular values of a parameter-dependent matrix

Original language description

Let a matrix A depend smoothly on a real parameter t. The problem is to construct a smooth path of SVD's of A. If A is a real analytic matrix function on [a, b], the factorization is called the Analytic Singular Value Decomposition (ASVD). We apply a predictor-corrector algorithm with an adaptive stepsize control. The algorithm is suitable for large sparse matrices.

Czech name

A continuation of singular values of a parameter-dependent matrix

Czech description

Let a matrix A depend smoothly on a real parameter t. The problem is to construct a smooth path of SVD's of A. If A is a real analytic matrix function on [a, b], the factorization is called the Analytic Singular Value Decomposition (ASVD). We apply a predictor-corrector algorithm with an adaptive stepsize control. The algorithm is suitable for large sparse matrices.

Type

O - Miscellaneous

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2005

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů