The analytic SVD: On the non-generic points on the path

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F10%3A10051711" target="_blank" >RIV/00216208:11320/10:10051711 - isvavai.cz</a>

Alternative codes found

RIV/60461373:22340/10:00023318

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

The analytic SVD: On the non-generic points on the path

Original language description

A new technique for computing Analytic SVD is proposed. The idea is to follow a branch of just one simple singular value and the corresponding left/right singular vector. Numerical computation may collaps at non-generic points: The particular case when the continuation get stuck due to a nonzero multiple singular value is considered. Such a point is interpreted as a singularity of the branch. The Singularity Theory is employed in order to describe and classify this point.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

<a href="/en/project/GA201%2F06%2F0356" target="_blank" >GA201/06/0356: Algorithms for continuation of invariant subspaces of large sparse matrices with applications</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2010

Confidentiality

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

Name of the periodical

Electronic Transactions on Numerical Analysis

ISSN

1068-9613

e-ISSN

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Volume of the periodical

37

Issue of the periodical within the volume

Neuveden

Country of publishing house

US - UNITED STATES

Number of pages

17

Pages from-to

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UT code for WoS article

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EID of the result in the Scopus database

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