Results 261 to 270 of about 2,226,866 (302)

On Hermitian solutions of the reduced biquaternion matrix equation (AXB,CXD) = (E,G)

Linear and multilinear algebra, 2018
This paper aims to consider the Hermitian solutions of reduced biquaternion matrix equation where X is an unknown reduced biquaternion Hermitian matrix, and A, B, C, D, E, G are known reduced biquaternion matrices with suitable size.
Shifang Yuan, Yong Tian, Ming-Zhao Li
semanticscholar   +1 more source

The effect of disorder on the spectrum of a Hermitian matrix

Journal of Physics A: Mathematical and General, 1980
It is well known that the average distribution of eigenvalues of a matrix, whose elements have a Gaussian distribution, may be determined. Here it is shown that the sum of such a matrix with a non-fluctuating matrix can also be resolved, in as much as the problem can be reduced to the solution of a self-consistent Dyson equation, a non-linear equation ...
Sam F. Edwards, Mark Warner
openaire   +2 more sources

TACHYONIC HERMITIAN ONE-MATRIX MODELS

Modern Physics Letters A, 1991
We treat the hermitian one-matrix model in the case where the quadratic term of the matrix potential has a negative coefficient (negative mass). In that case two scaling functions are necessary in the continuum limit. We analyze the problem both in the spherical and the double scaling limits.
David Sénéchal, Pierre Mathieu
openaire   +3 more sources

CLASSIFICATION OF CRITICAL HERMITIAN MATRIX MODELS

Modern Physics Letters A, 1991
The critical properties of Hermitian matrix models in the one-arc phase may be simply understood and completely classified by the behavior of the eigenvalue distribution at its ends. The most general critical behavior involves two scaling functions naturally associated with each end of the distribution, and two KdV-type string equations with differing
Simon Dalley, Tim R. Morris, Clifford V. Johnson   +2 more
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Matrices Normal with Respect to an Hermitian Matrix

American Journal of Mathematics, 1938
Verf. geht von der Bemerkung aus, daß \(A\) dann und nur dann im Schur-Toeplitzschen Sinne, normal (d. h. \(AA^* = A^*A\)) ist, wenn \(A^*\) eine Funktion (oder, da die Matrizen als endlich vorausgesetzt sind, ein Polynom) von \(A\) ist. Indem er die Einheitsmatrix \(E\) durch eine beliebige nichtsinguläre Hermitesche Matrix \(H\) ersetzt, definiert er
openaire   +3 more sources

On Scaled Almost-Diagonal Hermitian Matrix Pairs

SIAM Journal on Matrix Analysis and Applications, 1997
This paper contains estimates concerning the block structure of Hermitian matrices H and M, which make a scaled diagonally dominant definite pair. The obtained bounds are expressed in terms of relative gaps in the spectrum of the pair (H, M) and norms of certain blocks of the matrices DHD and DMD, where D is the square root of the inverse of the ...
Zlatko Drmač, Vjeran Hari
openaire   +4 more sources

Eigenvalues of Dual Hermitian Matrices with Application in Formation Control

SIAM Journal on Matrix Analysis and Applications
We propose a supplement matrix method for computing eigenvalues of a dual Hermitian matrix, and discuss its application in multi-agent formation control. Suppose we have a ring, which can be the real field, the complex field, or the quaternion ring.
Liqun Qi, Chunfeng Cui
semanticscholar   +1 more source

Calculation of the Eigenvalues of a Tridiagonal Hermitian Matrix

Journal of Mathematical Physics, 1961
For real symmetric or Hermitian matrices with tridiagonal form, the secular equation may be written as a continued fraction equation f(λ)=0. f(λ) is a member of a recursively defined sequence R(n)(λ) of n continued fractions if the secular equation is of the nth order. The basis for a new method of computing the eigenvalues of such tridiagonal matrices
openaire   +3 more sources

The Hermitian matrix model and homogeneous spaces

Theoretical and Mathematical Physics, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

General Hermitian Matrix Pairs

2011
Here we briefly overview the general eigenvalue problem Sx = λT x with two Hermitian matrices S, T and show how to reduce it to the case of a single J-Hermitian matrix A.
openaire   +2 more sources