Consistency examination of linear inequality system

• Autorzy: Henryk Brzeskwiniewicz , Krzysztof Kłaczyński
• Języki publikacji: EN

Abstrakty

EN

An investigation of the consistency of a linear inequality system is considered. It is proven that the system of linear inequalities Ax≥b is consistent if and only if for any generalized inverse A− of a matrix A the system of equations (I−AA−)v=−(I−AA−)b has a nonnegative solution for the vector v. Consistency of the above system does not depend on the choice of the matrix A−. The paper also presents methods for investigating the existence of nonnegative solutions of systems of linear equations.

PL

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Słowa kluczowe

EN

Linear inequalities

• Wydawca: Polish Mathematical Society
• Czasopismo: Mathematica Applicanda
• Rocznik: 1997
• Tom: 26
• Numer: 40

Daty

wydano

1997

online

2016-10-28

Twórcy

autor

Henryk Brzeskwiniewicz

autor

Krzysztof Kłaczyński

Identyfikatory

DOI

10.14708/ma.v26i40.1859