AbstractComparison theorems for spectral radii of iteration matrices associated with block partitions of a given matrix A are proven by means of nonnegative splitting theory. The application of obtained results is demonstrated for proving the conjecture posed by Garloff for interval matrices
AbstractA matrix A is said to be partition regular (PR) over a subset S of the positive integers if ...
AbstractIn this article, a convergence theorem and several comparison theorems are presented for a s...
AbstractLet A be an n×n irreducible nonnegative matrix. We show that over the set Ωn of all n×n doub...
AbstractComparison theorems for spectral radii of iteration matrices associated with block partition...
A class of the iteration method from the double splitting of coefficient matrix for solving the line...
AbstractWe present new comparison theorems for the spectral radii of matrices arising from splitting...
Comparison theorems between the spectral radii of different matrices are useful tools for judging th...
Elsner L, Frommer A, Nabben R, Schneider H, Szyld DB. Conditions for strict inequality in comparison...
In this paper, we further investigate the double splitting iterative methods for solving linear syst...
AbstractLet A be a nonsingular M-matrix, and let π be a block partitioning of A such that the diagon...
AbstractThe theorem of Stein–Rosenberg is generalized to the case of two M-splittings A=M1−N1=M2−N2,...
AbstractThe comparison of the asymptotic rates of convergence of two iteration matrices induced by t...
Li W, Elsner L, Lu L. Comparisons of spectral radii and the theorem of Stein-Rosenberg. Linear Algeb...
AbstractWe discuss iterative methods for the solution of the linear system Ax = b, which are based o...
AbstractA new matrix decomposition of real square singular matrices called BD-splitting is proposed ...
AbstractA matrix A is said to be partition regular (PR) over a subset S of the positive integers if ...
AbstractIn this article, a convergence theorem and several comparison theorems are presented for a s...
AbstractLet A be an n×n irreducible nonnegative matrix. We show that over the set Ωn of all n×n doub...
AbstractComparison theorems for spectral radii of iteration matrices associated with block partition...
A class of the iteration method from the double splitting of coefficient matrix for solving the line...
AbstractWe present new comparison theorems for the spectral radii of matrices arising from splitting...
Comparison theorems between the spectral radii of different matrices are useful tools for judging th...
Elsner L, Frommer A, Nabben R, Schneider H, Szyld DB. Conditions for strict inequality in comparison...
In this paper, we further investigate the double splitting iterative methods for solving linear syst...
AbstractLet A be a nonsingular M-matrix, and let π be a block partitioning of A such that the diagon...
AbstractThe theorem of Stein–Rosenberg is generalized to the case of two M-splittings A=M1−N1=M2−N2,...
AbstractThe comparison of the asymptotic rates of convergence of two iteration matrices induced by t...
Li W, Elsner L, Lu L. Comparisons of spectral radii and the theorem of Stein-Rosenberg. Linear Algeb...
AbstractWe discuss iterative methods for the solution of the linear system Ax = b, which are based o...
AbstractA new matrix decomposition of real square singular matrices called BD-splitting is proposed ...
AbstractA matrix A is said to be partition regular (PR) over a subset S of the positive integers if ...
AbstractIn this article, a convergence theorem and several comparison theorems are presented for a s...
AbstractLet A be an n×n irreducible nonnegative matrix. We show that over the set Ωn of all n×n doub...
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