E. E. Tyrtyshnikov, “A well-posed setting of the problem of solving systems of linear algebraic equations”, Mat. Sb., 2022, Volume 213, Number 10,Pages <nobr>130

This article is cited in 3 papers

A well-posed setting of the problem of solving systems of linear algebraic equations

E. E. Tyrtyshnikov^ab

^a Marchuk Institute of Numerical Mathematics of the Russian Academy of Sciences, Moscow, Russia
^b Moscow Center of Fundamental and Applied Mathematics, Moscow, Russia

Abstract: Tikhonov's setting of the problem of solving systems of linear algebraic equations that are equivalent in accuracy is investigated. The problem is shown to be well posed in this setting.
Bibliography: 5 titles.

Keywords: systems of linear algebraic equations, normal pseudosolution, matrix norms, correct problems.

MSC: Primary 65F22; Secondary 15A06

Received: 07.12.2021

DOI: 10.4213/sm9706