V. A. Morozov, È. M. Muhamadiev, A. B. Nazimov, “Regularization of singular systems of linear algebraic equations by shifts”, Zh. Vychisl. Mat. Mat. Fiz., 2007, Volume 47, Number 12,Pages <nobr>1971

This article is cited in 3 papers

Regularization of singular systems of linear algebraic equations by shifts

V. A. Morozov^a, È. M. Muhamadiev^b, A. B. Nazimov^b

^a Research Computer Center, Moscow State University, Leninskie gory, Moscow, 119992, Russia
^b Vologda State Technical University, ul. Lenina 15, Vologda, 160002, Russia

Abstract: Regularization of singular systems of linear algebraic equations by shifts is examined. New equivalent conditions for the shift regularizability of such systems are derived.

Key words: shift regularization, singular systems, pseudoinverse matrix, uniform boundedness, regular pencil.

UDC: 519.612

Received: 31.05.2007