Eigenvalue localization for complex matrices
نویسندگان
چکیده
منابع مشابه
Ela an Eigenvalue Inequality and Spectrum Localization for Complex Matrices∗
Using the notions of the numerical range, Schur complement and unitary equivalence, an eigenvalue inequality is obtained for a general complex matrix, giving rise to a region in the complex plane that contains its spectrum. This region is determined by a curve, generalizing and improving classical eigenvalue bounds obtained by the Hermitian and skew-Hermitian parts, as well as the numerical ran...
متن کاملAn eigenvalue inequality and spectrum localization for complex matrices
Using the notions of the numerical range, Schur complement and unitary equivalence, an eigenvalue inequality is obtained for a general complex matrix, giving rise to a region in the complex plane that contains its spectrum. This region is determined by a curve, generalizing and improving classical eigenvalue bounds obtained by the Hermitian and skew-Hermitian parts, as well as the numerical ran...
متن کاملEigenvalue Correlations for Banded Matrices
We study the evolution of the distribution of eigenvalues of a N × N matrix ensemble subject to a change of variances of its matrix elements. Our results indicate that the evolution of the probability density is governed by a Fokker-Planck equation similar to the one governing the time-evolution of the particle-distribution in Wigner-Dyson gas, with relative variances now playing the role of ti...
متن کاملOn the nonnegative inverse eigenvalue problem of traditional matrices
In this paper, at first for a given set of real or complex numbers $sigma$ with nonnegative summation, we introduce some special conditions that with them there is no nonnegative tridiagonal matrix in which $sigma$ is its spectrum. In continue we present some conditions for existence such nonnegative tridiagonal matrices.
متن کاملEigenvalue density of correlated complex random Wishart matrices.
Using a character expansion method, we calculate exactly the eigenvalue density of random matrices of the form M dagger M where M is a complex matrix drawn from a normalized distribution P(M) approximately exp(-Tr [AMB M dagger]) with A and B positive definite (square) matrices of arbitrary dimensions. Such so-called correlated Wishart matrices occur in many fields ranging from information theo...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proyecciones (Antofagasta)
سال: 1992
ISSN: 0716-0917,0717-6279
DOI: 10.22199/s07160917.1992.0001.00003