AbstractWe provide some characterizations of weak-monotone matrices by using positive splittings. We prove that a matrix allowing a generalized B-splitting is weak-monotone iff the associated spectral radius is less than one. Next, we prove that weak- monotone matrices allow a generalized B-splitting. Weak-monotonicity is associated with strong positive solvability of a linear system Ax = b, b ⩾ 0
AbstractLet A be an M-matrix and B a nonnegative matrix. It is shown that with some additional const...
AbstractThe authors revisit the notion of a row monotone matrix and obtain new results that establis...
AbstractWe survey various generalizations of matrix monotonicity. Of much interest to us are relatio...
AbstractWe provide some characterizations of weak-monotone matrices by using positive splittings. We...
AbstractThe author provides a new characterization of inverse-positive matrices using positive split...
AbstractA real matrix A is called S-monotone if S is a complementary subspace of N(A) and if Ax⩾0, x...
AbstractThe relationships between several conditions generalizing matrix monotonicity are studied
Abstract. This article concerns weak monotonicity of interval matrices, with specific emphasis on it...
AbstractWe survey various generalizations of matrix monotonicity. Of much interest to us are relatio...
AbstractA new matrix decomposition of real square singular matrices called BD-splitting is proposed ...
AbstractThe author provides a new characterization of inverse-positive matrices using positive split...
AbstractThe concepts of matrix monotonicity, generalized inverse-positivity and splittings are inves...
AbstractIn this paper the relationship between weak r-monotonicity and {1}-monotonicity is discussed...
AbstractAn M-matrix as defined by Ostrowski is a matrix that can be split into A = sI − B, s > 0, B ...
AbstractThis short note presents a sufficient condition under which a question raised by Peris and S...
AbstractLet A be an M-matrix and B a nonnegative matrix. It is shown that with some additional const...
AbstractThe authors revisit the notion of a row monotone matrix and obtain new results that establis...
AbstractWe survey various generalizations of matrix monotonicity. Of much interest to us are relatio...
AbstractWe provide some characterizations of weak-monotone matrices by using positive splittings. We...
AbstractThe author provides a new characterization of inverse-positive matrices using positive split...
AbstractA real matrix A is called S-monotone if S is a complementary subspace of N(A) and if Ax⩾0, x...
AbstractThe relationships between several conditions generalizing matrix monotonicity are studied
Abstract. This article concerns weak monotonicity of interval matrices, with specific emphasis on it...
AbstractWe survey various generalizations of matrix monotonicity. Of much interest to us are relatio...
AbstractA new matrix decomposition of real square singular matrices called BD-splitting is proposed ...
AbstractThe author provides a new characterization of inverse-positive matrices using positive split...
AbstractThe concepts of matrix monotonicity, generalized inverse-positivity and splittings are inves...
AbstractIn this paper the relationship between weak r-monotonicity and {1}-monotonicity is discussed...
AbstractAn M-matrix as defined by Ostrowski is a matrix that can be split into A = sI − B, s > 0, B ...
AbstractThis short note presents a sufficient condition under which a question raised by Peris and S...
AbstractLet A be an M-matrix and B a nonnegative matrix. It is shown that with some additional const...
AbstractThe authors revisit the notion of a row monotone matrix and obtain new results that establis...
AbstractWe survey various generalizations of matrix monotonicity. Of much interest to us are relatio...
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