AbstractA real matrix A is called S-monotone if S is a complementary subspace of N(A) and if Ax⩾0, x∈S → x⩾0. A is called almost monotone if it is S-monotone for every such S. These types of monotonicity appear in the study of regular splittings for iterative methods. Almost and S-monotonicity are characterized here and are related to six other types of monotonicity
AbstractWe survey various generalizations of matrix monotonicity. Of much interest to us are relatio...
AbstractAn M-matrix as defined by Ostrowski is a matrix that can be split into A = sI − B, s > 0, B ...
AbstractIt is well known that a matrix is of monotone kind if and only if it has a regular inverse, ...
AbstractA real matrix A is called S-monotone if S is a complementary subspace of N(A) and if Ax⩾0, x...
AbstractWe survey various generalizations of matrix monotonicity. Of much interest to us are relatio...
AbstractThe relationships between several conditions generalizing matrix monotonicity are studied
AbstractWe provide some characterizations of weak-monotone matrices by using positive splittings. We...
AbstractThe concepts of matrix monotonicity, generalized inverse-positivity and splittings are inves...
Abstract. This article concerns weak monotonicity of interval matrices, with specific emphasis on it...
AbstractThe authors revisit the notion of a row monotone matrix and obtain new results that establis...
AbstractFollowing Berman and Plemmons [5], Werner [17], Poole and Barker [13], and others, we invest...
AbstractGiven the iterative scheme xi+1 = BTxi + r where B, T are fixed n×:n real matrices, r a fixe...
AbstractA new matrix decomposition of real square singular matrices called BD-splitting is proposed ...
AbstractWe provide some characterizations of weak-monotone matrices by using positive splittings. We...
AbstractIt is well known that a matrix is of monotone kind if and only if it has a regular inverse, ...
AbstractWe survey various generalizations of matrix monotonicity. Of much interest to us are relatio...
AbstractAn M-matrix as defined by Ostrowski is a matrix that can be split into A = sI − B, s > 0, B ...
AbstractIt is well known that a matrix is of monotone kind if and only if it has a regular inverse, ...
AbstractA real matrix A is called S-monotone if S is a complementary subspace of N(A) and if Ax⩾0, x...
AbstractWe survey various generalizations of matrix monotonicity. Of much interest to us are relatio...
AbstractThe relationships between several conditions generalizing matrix monotonicity are studied
AbstractWe provide some characterizations of weak-monotone matrices by using positive splittings. We...
AbstractThe concepts of matrix monotonicity, generalized inverse-positivity and splittings are inves...
Abstract. This article concerns weak monotonicity of interval matrices, with specific emphasis on it...
AbstractThe authors revisit the notion of a row monotone matrix and obtain new results that establis...
AbstractFollowing Berman and Plemmons [5], Werner [17], Poole and Barker [13], and others, we invest...
AbstractGiven the iterative scheme xi+1 = BTxi + r where B, T are fixed n×:n real matrices, r a fixe...
AbstractA new matrix decomposition of real square singular matrices called BD-splitting is proposed ...
AbstractWe provide some characterizations of weak-monotone matrices by using positive splittings. We...
AbstractIt is well known that a matrix is of monotone kind if and only if it has a regular inverse, ...
AbstractWe survey various generalizations of matrix monotonicity. Of much interest to us are relatio...
AbstractAn M-matrix as defined by Ostrowski is a matrix that can be split into A = sI − B, s > 0, B ...
AbstractIt is well known that a matrix is of monotone kind if and only if it has a regular inverse, ...
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