In this paper, preconditioning of linear algebraic systems with symmetric positive-definite
coefficient matrices by deflation is considered. The twofold deflation technique for�…

In this paper, preconditioning of linear algebraic systems with symmetric positive-definite
coefficient matrices by deflation is considered. The twofold deflation technique for�…

Aplikace matematiky Page 1 Aplikace matematiky Miroslav Fiedler A deflation formula for
tridiagonal matrices Aplikace matematiky, Vol. 25 (1980), No. 5, 348–357 Persistent URL�…

Suppose that one knows an accurate approximation to an eigenvalue of a real symmetric
tridiagonal matrix. A variant of deflation by the Givens rotations is proposed in order to split�…

THE NECESSARY AND SUFFICIENT CONDITIONS OF DEGENERATE SETS OF LINEAR
ALGEBRAIC EQUATIONS REGULARIZABILITY OF USING THE SHIFT MET Page 1 USSR�…

Improvements of the ILU (0) factorization algorithm for preconditioning linear algebraic
systems with dense matrices are suggested. The preconditioner is stored in compressed�…

This paper presents the solution of linear systems with block Toeplitz matrices by
constructing block versions of the Fade approximation. This approach yields a fast method of�…

For a nonsingular system of linear equations with a symmetric indefinite block matrix,
preconditioning with the help of a matrix having a similar (saddle point) structure is�…

In this article three well-known methods of circulant preconditioning of finite multiindex
Toeplitz linear systems, that is linear systems indexed by integers i1,…, id with 0⩽ is< ns (s�…

An algorithm is presented which performs the triangular decomposition of the inverse of a
given matrix. The method is applicable to any matrix all contiguous principal submatrices of�…