È. M. Dushanov, G. A. Emel'yanenko, I. E. Mikhaĭlov, L. A. Muravei, “The method of critical-component for solving ill-posed problems”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2008, Issue 10,Pages <nobr>119

Probabilistic Possibilistic Models

The method of critical-component for solving ill-posed problems

È. M. Dushanov^ab, G. A. Emel'yanenko^ac, I. E. Mikhaĭlov^c, L. A. Muravei^c

^a Joint Institute for Nuclear Research, Dubna, Moscow region
^b Institute of Nuclear Physics, Academy of Sciences of Uzbekistan, Tashkent
^c Dubna International University for Nature, Society, and Man

Abstract: Results are expounded for the investigation of efficiency of the critical-component direct method for solving degenerate and ill-posed systems of linear algebraic equations. The criterions of creations of subspaces in critical-component method was adduced.

Keywords: ill-posed systems, tridiagonal matrices, linear equations.

UDC: 519.612

Received: 13.08.2008