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STRONG SHIFT EQUIVALENCE AND THE GENERALIZED SPECTRAL CONJECTURE FOR NONNEGATIVE MATRICES
STRONG SHIFT EQUIVALENCE GENERALIZED SPECTRAL CONJECTURE NONNEGATIVE MATRICES
2015/9/29
Given matrices A and B shift equivalent over a dense subring R of R,with A primitive, we show that B is strong shift equivalent over R to a primitive matrix. This result shows that the weak form of th...
A FAST PARALLEL ALGORITHM FOR SELECTED INVERSION OF STRUCTURED SPARSE MATRICES WITH APPLICATION TO 2D ELECTRONIC STRUCTURE CALCULATIONS
selected inversion parallel algorithm electronic structure calculation
2015/7/14
An efficient parallel algorithm is presented for computing selected components of A−1 where A is a structured symmetric sparse matrix. Calculations of this type are useful for several applicatio...
In this paper, we study the concept of semiring of intuitionistic fuzzy matrices(IFMs). We prove that the IFMs forms an intuitionistic fuzzy algebra and vector space over [0,1]. Some properties of IFM...
A new method to find the eigenvalues of convex matrices with application in web page rating
Eigenvalue Google matrix convex matrices PageRank
2010/9/21
Although many factors determine Google's overall ranking of search engine results, Google maintains that the heart of its search engine software is PageRank, the eigenvector corresponds to the maximal...
On the explicit powers and the inverse of one type of band Toeplitz matrices
Toeplitz matrices Chebyshev polynomials
2010/9/25
We derive the general expression of the powers of one type of banded Toeplitz matrices.
A note on the Euclidean norms of matrices with arithmetic-geometric-harmonic means
Euclidean norm arithmetic-geometric-harmonic mean
2010/9/25
A note on the Euclidean norms of matrices with arithmetic-geometric-harmonic means.
Vector spaces of skew-symmetric matrices of constant rank
Vector spaces skew-symmetric matrices
2010/11/22
We study the orbits of vector spaces of skew-symmetric matrices of constant rank 2r and type (N+1)x(N+1) under the natural action of SL(N+1), over an algebraically closed field of characteristic zero...
Canonical matrices of forms and pairs of forms over finite and p-adic fields
Canonical matrices p-adic fields
2010/11/19
Canonical matrices of (a) bilinear and sesquilinear forms, (b) pairs of forms, in which every form is symmetric or skew-symmetric, and (c) pairs of Hermitian forms are given over finite fields of cha...
Characterization of diagonalizable matrices: An algorithm
Annihilator polynomial diagonal matrix linear operator
2010/9/10
Abstract. Let T be a linear opeartor and D be a matrix. So by its diagonal matrix, we get a lot of informations about T, namely we can almost answer any question about T. In this paper we introduce an...
Necessary and sufficient condition for a set of matrices to commute
Commuting matrices Jordan canonical form
2010/9/15
This paper is devoted to derive the necessary and sufficient condition for a set of matrices to commute. It is proved that the commutator [A, B ]= 0 for two matrices A and B if and only if a vector v ...
On an Inequality Involving Power and Contraction of Matrices with and without Trace
Trace inequalities Operator inequalities Positive semidefinite matrix Operator monotony Operator concavity
2008/6/27
On an Inequality Involving Power and Contraction of Matrices with and without Trace.
On Rank Subtractivity Between Normal Matrices
Rank subtractivity Minus partial ordering Star partial ordering Sharp partial ordering Normal matrices EP matrices
2008/6/27
On Rank Subtractivity Between Normal Matrices.
On the Bounds for the Spectral and $\ell _p$ Norms of the Khatri-Rao Product of Cauchy-Hankel Matrices
Cauchy-Hankel matrices Kronecker product Khatri-Rao product Tracy-Singh product Norm
2008/6/27
On the Bounds for the Spectral and $\ell _p$ Norms of the Khatri-Rao Product of Cauchy-Hankel Matrices.
On Inverses of Triangular Matrices with Monotone Entries
Explicit bounds Triangular matrix Matrix inverse Monotone entries Off-diagonal decay Recurrence relations
2008/6/27
This note employs recurrence techniques to obtain entry-wise optimal inequalities for inverses of triangular matrices whose entries satisfy some monotonicity constraints. The derived bounds are easily...
On the $\ell_p$ Norm of GCD and Related Matrices
GCD matrix LCM matrix Smith's determinant $ell_p$ norm $O$-estimate
2008/6/27
On the $\ell_p$ Norm of GCD and Related Matrices.