Towards tensor generalizations of TLS & core problem theory

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F46747885%3A24510%2F18%3A00001855" target="_blank" >RIV/46747885:24510/18:00001855 - isvavai.cz</a>

Výsledek na webu

<a href="https://onlinelibrary.wiley.com/doi/10.1002/pamm.201800196" target="_blank" >https://onlinelibrary.wiley.com/doi/10.1002/pamm.201800196</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1002/pamm.201800196" target="_blank" >10.1002/pamm.201800196</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Towards tensor generalizations of TLS & core problem theory

Popis výsledku v původním jazyce

Despite the wide attention, there are still several not well understood parts in the theory of total least squares (TLS) formulation of linear algebraic approximation problems. In particular, in the problems with multiple (matrix) right‐hand sides one can ask about the meaning of the nongeneric solution in the context of the original data, the nonexistence of the TLS solution for the so‐called irreducible core problems, etc. In the single (vector) right‐hand side TLS, these problems can be easily explained through the core problem theory or simply do not appear. Here we summarize, how the existing TLS and core problem theory can be generalized to problems with tensor right‐hand sides. Such generalization also gives a natural and wider context for further analysis of the above mentioned questions.

Název v anglickém jazyce

Towards tensor generalizations of TLS & core problem theory

Popis výsledku anglicky

Despite the wide attention, there are still several not well understood parts in the theory of total least squares (TLS) formulation of linear algebraic approximation problems. In particular, in the problems with multiple (matrix) right‐hand sides one can ask about the meaning of the nongeneric solution in the context of the original data, the nonexistence of the TLS solution for the so‐called irreducible core problems, etc. In the single (vector) right‐hand side TLS, these problems can be easily explained through the core problem theory or simply do not appear. Here we summarize, how the existing TLS and core problem theory can be generalized to problems with tensor right‐hand sides. Such generalization also gives a natural and wider context for further analysis of the above mentioned questions.

Druh

J_ost - Ostatní články v recenzovaných periodicích

CEP obor

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OECD FORD obor

10102 - Applied mathematics

Projekt

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Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2018

Kód důvěrnosti údajů

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

Název periodika

Proceedings in Applied Mathematics and Mechanics

ISSN

1617-7061

e-ISSN

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Svazek periodika

18

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

2

Strana od-do

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Kód UT WoS článku

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EID výsledku v databázi Scopus

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