New Halt Theorems for the System of Linear Algebraic Equations with Random Coefficients

• Autorzy: Vyacheslav L. Girko , Alexander Babanin

Warianty tytułu

Nowe twierdzenia ograniczone dla systemów liniowych równart algebraicznych z współczynnikami losowymi

• Języki publikacji: EN

Abstrakty

EN

The existing problems of a linear algebra are discussed. With the help of G - analysis methods new assertions are found for the solutions of the systems of linear algebraic equations (SLAE) with random coefficients. The new class of G8 - estimates of the solutions of SLAE with random coefficients is developed. Experimental results are provided to compare new G8 - estimates with traditional ones proposed by A. N. Tikhonov and A. V. Concharsky. (original abstract)

Omówione zostają istniejące problemy algebry liniowej. Metody analizy G pozwalają odkryć nowe twierdzenia dla rozwiązań systemów liniowych równań algebraicznych (SLAE) z współczynnikami losowymi. Rozwinięto nową klasę estymatorów G8 rozwiązań SLAE z współczynnikami losowymi. Podane są eksperymentalne wyniki w celu porównania nowych estymacji G8 z tradycyjnymi, zaproponowanymi przez A. N. Tikhonova i A. V. Goncharskyego. (abstrakt oryginalny)

Słowa kluczowe

EN

Linear equation; Algebra; Random variable; Estimators

PL

Równania liniowe; Algebra; Zmienne losowe; Estymatory

• Czasopismo: Acta Universitatis Lodziensis. Folia Oeconomica
• Rocznik: 1993
• Tom: 132
• Strony: 141--151

Twórcy

autor

Vyacheslav L. Girko

• University of Kiev

autor

Alexander Babanin

• University of Kiev

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