Toeplitz Inverse Eigenvalue Problem

Abstract— some of the properties of symmetric and skew symmetric matrices are extended to polynomial symmetric and polynomial skew symmetric matrices. Characterizations

Hindawi Publishing Corporation Advances in Difference Equations Volume 2010, Article ID 317416, 24 pages doi 10 1155/2010/317416 Research Article Inequalities among Eigenvalues of Second

Since the cost per iteration of a banded preconditioned method is twice the cost of the un- preconditioned one, preconditioners computing acceptable reconstructions with a number of

Our work focuses on making infer- ences for random symmetric matrices by suggesting a distribution family that can embrace some commonly used distributions for the symmetric matrix

n form a cone with a special structure, in order to find bounds for the quaternion eigenvalues of a quaternion symmetric matrix.. KEYWORDS: Quaternion symmetric; Quaternion

In this paper, we obtain the result that the characteristic polynomial and the right(left) eigenvectors of Brualdi-Li tournament matrices by new methods, and that the Brualdi-Li

The problem in this paper is motivated by physical problems concerned with the case when a class of continuous and equimeasurable densities of a string is given then how to find minimal

Problems might arise when the eigenvalues of the considered matrices have some peculiar feature: for instance, the method presented in this paper could have di ffi culties in dealing

We go through four parts of the local update and discuss the special issues: the computation of the weight matrices, the construction of the adaptive cluster bases for C + XY T , the

In this section, we will make use of our method to deal with some random matrix models closely related to Toeplitz matrices, including Hermitian Toeplitz band matri- ces and Hankel band

Figure 8.18.: A comparison of several methods of computing a large number of eigen- values of the Nastran benchmark (order 1.5 million).. (a) Amount of time spent in each stage

We consider the distance from a (square or rectangular) matrix pencil to the nearest matrix pencil in 2-norm that has a set of specified eigenvalues. We derive a singular value

Here, we accept that for any given stress or strain tensor, a coordinate system can be identified in which all of the shear stresses or shear strains have zero value, and the only

The sum of the first n  1 eigenvalues of the Laplacian is shown to be maximal among triangles for the equilateral triangle, maximal among parallelograms for the square, and maximal