Results 11 to 20 of about 68 (53)
Full column rank preservers that preserve semipositivity of matrices
Special Matrices, 2018 Left invertibility preservers on Mm,n(ℝ), m ≥ n, that preserve either semipositivity of matrices or the subset of minimally semipositive matrices are studied. We prove that such maps cannot be degenerate.
Arumugasamy Chandrashekaran +1 more
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Extensions of pseudo-Perron-Frobenius splitting related to generalized inverse AT,S(2)
Special Matrices, 2018 We in this paper define the outer-Perron-Frobenius splitting, which is an extension of the pseudo- Perron-Frobenius splitting defined in [A.N. Sushama, K. Premakumari, K.C.
Huang Shaowu +3 more
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A Hadamard product involving inverse-positive matrices
Special Matrices, 2015 In this paperwe study the Hadamard product of inverse-positive matrices.We observe that this class of matrices is not closed under the Hadamard product, but we show that for a particular sign pattern of the inverse-positive matrices A and B, the Hadamard
Gassó Maria T. +2 more
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On splittings of matrices and nonnegative generalized inverses
, 2012 The authors introduce a new type of matrix splitting generalizing the notion of B splitting and study its relationships with nonnegativity of the Moore-Penrose inverse and the group inverse. Mathematics subject classification (2010): 15A09, 15B48.
Debasisha Mishra +4 more
semanticscholar +1 more source
A counterexample to the Drury permanent conjecture
Special Matrices, 2017 We offer a counterexample to a conjecture concerning the permanent of positive semidefinite matrices. The counterexample is a 4 × 4 complex correlation matrix.
Hutchinson George
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Generalization of Golden-Thompson type inequalities for normal matrices
, 2016 We survey some well-known matrix exponential formulae, with emphasis on logmajorization results, by using the compound matrix method. Mathematics subject classification (2010): 15A45, 15B48.
Xuhua Liu
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ON THE IRREDUCIBILITY, SELF-DUALITY, AND NON-HOMOGENEITY OF COMPLETELY POSITIVE CONES
, 2013 . For a closed cone Cin R n , the completely positive cone of Cis the convex cone K C in S n generated by fuu T : u2Cg. Such a cone arises, for example, in the conic LP reformula-tion of a nonconvex quadratic minimization problem over an arbitrary set ...
M. Gowda, R. Sznajder
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Sufficient conditions for complete positivity
, 2011 Marcus and Minc gave sufficient conditions on the diagonal entries of a doubly nonnegative doubly stochastic n×n matrix A , that there is a doubly nonnegative doubly stochastic matrix C with A = C2 . In this event, A is completely positive.
Robert Reams
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Sufficient conditions for symmetric matrices to have exactly one positive eigenvalue
Special Matrices, 2020 Let A = [aij] be a real symmetric matrix. If f : (0, ∞) → [0, ∞) is a Bernstein function, a sufficient condition for the matrix [f (aij)] to have only one positive eigenvalue is presented.
Al-Saafin Doaa, Garloff Jürgen
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Singular M-matrices which may not have a nonnegative generalized inverse
Special Matrices, 2014 A matrix A ∈ ℝn×n is a GM-matrix if A = sI − B, where 0 < ρ(B) ≤ s and B ∈WPFn i.e., both B and Bthave ρ(B) as their eigenvalues and their corresponding eigenvector is entry wise nonnegative.
Sushama Agrawal N. +2 more
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