Results 31 to 40 of about 2,714,369 (204)

Unitary equivalence to a complex symmetric matrix: a modulus criterion [PDF]

, 2010
We develop a procedure for determining whether a square complex matrix is unitarily equivalent to a complex symmetric (i.e., self-transpose) matrix. Our approach has several advantages over existing methods.
S. Garcia, Daniel E. Poore, M. Wyse
semanticscholar   +1 more source

Cauchy's interlace theorem and lower bounds for the spectral radius

International Journal of Mathematics and Mathematical Sciences, 2000
We present a short and simple proof of the well-known Cauchy interlace theorem. We use the theorem to improve some lower bound estimates for the spectral radius of a real symmetric matrix.
A. McD. Mercer, Peter R. Mercer
doaj   +1 more source

Unitary equivalence to a complex symmetric matrix: geometric criteria [PDF]

, 2009
We develop several methods, based on the geometric relationship between the eigenspaces of a matrix and its adjoint, for determining whether a square matrix having distinct eigenvalues is unitarily equivalent to a complex symmetric matrix.
S. Garcia, L. Balayan
semanticscholar   +1 more source

Secondary range symmetric matrices [version 1; peer review: 2 approved, 1 approved with reservations]

F1000Research
The concept of secondary range symmetric matrices are introduced here. Some characterizations as well as the equivalent conditions for a range symmetric matrix to be secondary range symmetric matrix is given.
Divya Shenoy
doaj   +1 more source

Constrained Solutions of a System of Matrix Equations

Journal of Applied Mathematics, 2012
We derive the necessary and sufficient conditions of and the expressions for the orthogonal solutions, the symmetric orthogonal solutions, and the skew-symmetric orthogonal solutions of the system of matrix equations AX=B and XC=D, respectively. When the
Qing-Wen Wang, Juan Yu
doaj   +1 more source

String order and hidden topological symmetry in the SO(2n + 1) symmetric matrix product states [PDF]

, 2008
We have introduced a class of exactly soluble Hamiltonian with either SO(2n + 1) or SU(2) symmetry, whose ground states are the SO(2n + 1) symmetric matrix product states.
Hong-Hao Tu, Guang-Ming Zhang, T. Xiang
semanticscholar   +1 more source

Secondary range symmetric matrices [version 2; peer review: 2 approved, 1 approved with reservations]

F1000Research
The concept of secondary range symmetric matrices is introduced here. Some characterizations as well as the equivalent conditions for a range symmetric matrix to be secondary range symmetric matrix is given.
Divya Shenoy
doaj   +1 more source

CONSTRUCTION AND MANAGEMENT OF MULTIVARIATE INDICES FOR CHARACTERIZING THE QUALITY OF THE MARINE COASTAL PERÚ

Pesquimat, 2014
This work proposes the minimization of bandwidth in sparse symmetric Matrix, using genetic algorithms and an oum software, developed in MS Visual Studio 6. O.
Ricardo López Guevara
doaj   +1 more source

Parametrization of transition energy-momentum tensor form factors

Physics Letters B, 2022
While the Lorentz structures of the N→Δ transition matrix element of the vector current are well-known, that of the symmetric energy-momentum tensor current is unknown.
June-Young Kim
doaj   +1 more source

The symmetric M-matrix and symmetric inverse M-matrix completion problems

Linear Algebra and its Applications, 2002
A partial matrix is a matrix in which some entries are specified and others are not. The completion problem for partial matrices consists in choosing values for the unspecified entries in such a way as the completed matrix belongs to a particular class of matrices. A partial \(n \times n\) matrix specifies a pattern (i.e.
openaire   +3 more sources