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
AbstractThe relationships between several conditions generalizing matrix monotonicity are studied
Let $f : (a,b) → \mathbb{R}.$ The function f is said to be matrix monotone if $A \leq B$ implies $f(...
AbstractGiven the iterative scheme xi+1 = BTxi + r where B, T are fixed n×:n real matrices, r a fixe...
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 authors revisit the notion of a row monotone matrix and obtain new results that establis...
AbstractIt is well known that a matrix is of monotone kind if and only if it has a regular inverse, ...
AbstractFollowing Berman and Plemmons [5], Werner [17], Poole and Barker [13], and others, we invest...
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...
Abstract. This article concerns weak monotonicity of interval matrices, with specific emphasis on it...
AbstractThe class of real matrices which are both monotone (inverse positive) and positive stable is...
AbstractA real n × n matrix is termed almost copositive if it is not copositive but all its principa...
AbstractFollowing Berman and Plemmons [5], Werner [17], Poole and Barker [13], and others, we invest...
AbstractThe relationships between several conditions generalizing matrix monotonicity are studied
Let $f : (a,b) → \mathbb{R}.$ The function f is said to be matrix monotone if $A \leq B$ implies $f(...
AbstractGiven the iterative scheme xi+1 = BTxi + r where B, T are fixed n×:n real matrices, r a fixe...
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 authors revisit the notion of a row monotone matrix and obtain new results that establis...
AbstractIt is well known that a matrix is of monotone kind if and only if it has a regular inverse, ...
AbstractFollowing Berman and Plemmons [5], Werner [17], Poole and Barker [13], and others, we invest...
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...
Abstract. This article concerns weak monotonicity of interval matrices, with specific emphasis on it...
AbstractThe class of real matrices which are both monotone (inverse positive) and positive stable is...
AbstractA real n × n matrix is termed almost copositive if it is not copositive but all its principa...
AbstractFollowing Berman and Plemmons [5], Werner [17], Poole and Barker [13], and others, we invest...
AbstractThe relationships between several conditions generalizing matrix monotonicity are studied
Let $f : (a,b) → \mathbb{R}.$ The function f is said to be matrix monotone if $A \leq B$ implies $f(...
AbstractGiven the iterative scheme xi+1 = BTxi + r where B, T are fixed n×:n real matrices, r a fixe...
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