Consistency examination of linear inequality system

• Autorzy: Brzeskwiniewicz Henryk , Kłaczyński Krzysztof

Identyfikatory

DOI

0.14708/ma.v26i40.1859

• 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.

Słowa kluczowe

EN

Linear inequalities

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Matematyka Stosowana : matematyka dla społeczeństwa
• Rocznik: 1997
• Tom: Nr 40
• Strony: 83--87
• Opis fizyczny: Bibliogr. 18 poz.

Twórcy

autor

Brzeskwiniewicz Henryk

• Department of Mathematical and Statistical Methods Agricultural University of Poznan, ul. Wojska Polskiego 28, Poland

autor

Kłaczyński Krzysztof

Bibliografia

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