A Residual Existence Theorem for Linear Equations

Result code in IS VaVaI

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Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

A Residual Existence Theorem for Linear Equations

Original language description

A residual existence theorem for linear equations is proved: if $AinRmn$, $binRm$ and if $X$ is a finite subset of $Rn$ satisfying $max_{xin X}p^T(Ax-b)geq 0$ for each $pinRm$, then the system of linear equations $Ax=b$ has a solution in the convex hull of $X$. An application of this result to unique solvability of the absolute value equation $Ax+B|x|=b$ is given.

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

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

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

Optimization Letters

ISSN

1862-4472

e-ISSN

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Volume of the periodical

4

Issue of the periodical within the volume

2

Country of publishing house

DE - GERMANY

Number of pages

4

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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