Results 21 to 30 of about 448 (54)
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
doaj +1 more source
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
semanticscholar +1 more source
Polynomials with a sharp Cauchy bound and their zeros of maximal modulus
, 2015 The moduli of zeros of a complex polynomial are bounded by the positive zero of an associated auxiliary polynomial. The bound is due to Cauchy. This note describes polynomials with a sharp Cauchy bound and the location of peripheral zeros.
H. K. Wimmer
semanticscholar +1 more source
Maps on positive definite matrices preserving Bregman and Jensen divergences [PDF]
, 2015 In this paper we determine those bijective maps of the set of all positive definite $n\times n$ complex matrices which preserve a given Bregman divergence corresponding to a differentiable convex function that satisfies certain conditions.
Molnár, Lajos +2 more
core +2 more sources
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
doaj +1 more source
Matrix functions that preserve the strong Perron-Frobenius property
, 2015 In this note, we characterize matrix functions that preserve the strong Perron-Frobenius property using the real Jordan canonical form of a real matrix.Comment: To appear in The Electronic Journal of Linear ...
Paparella, Pietro
core +1 more source
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
semanticscholar +1 more source
The Roots and Links in a Class of $M$-Matrices [PDF]
, 2014 In this paper, we discuss exiting roots of sub-kernel transient matrices $P$ associated with a class of $M-$ matrices which are related to generalized ultrametric matrices.
Zhang, Xiao-Dong
core +1 more source
Simple expressions for the long walk distance
, 2012 The walk distances in graphs are defined as the result of appropriate transformations of the $\sum_{k=0}^\infty(tA)^k$ proximity measures, where $A$ is the weighted adjacency matrix of a connected weighted graph and $t$ is a sufficiently small positive ...
Bapat +14 more
core +1 more source
Continuous Jordan triple endomorphisms of $\mathbb{P}_2$ [PDF]
, 2015 We describe the structure of all continuous Jordan triple endomorphisms of the set $\mathbb{P}_2$ of all positive definite $2\times 2$ matrices thus completing a recent result of ours.
Molnár, Lajos, Virosztek, Dániel
core +2 more sources