On the construction of real non-selfadjoint tridiagonal matrices with prescribed three spectra

A note on the spectra of tridiagonal matrices

Using orthogonal polynomials, we give a different approach to some recent results on tridi-agonal matrices. 1. Introduction and preliminaries. Most of the results on tridiagonal matrices can be seen in the context of orthogonal polynomials. Here, we will see two examples. The aim of this note is to give simplified proofs of some recent results on tridiagonal matrices , using arguments from the ...

Fine Spectra of Tridiagonal Symmetric Matrices

The Construction of Jacobi and Periodic Jacobi Matrices With Prescribed Spectra

The spectral properties of Jacobi and periodic Jacobi matrices are analyzed and algorithms for the construction of Jacobi and periodic Jacobi matrices with prescribed spectra are presented. Numerical evidence demonstrates that these algorithms are of practical utility. These algorithms have been used in studies of the periodic Toda lattice, and might also be used in studies of inverse eigenvalu...

a study on construction of iranian life tables: the case study of modified brass logit system

چکیده ندارد.

Construction of matrices with prescribed singular values and eigenvalues

Two issues concerning the construction of square matrices with prescribed singular values and eigenvalues are addressed. First, a necessary and sufficient condition for the existence of an n × n complex matrix with n given nonnegative numbers as singular values and m(≤ n) given complex numbers to be m of the eigenvalues is determined. This extends the classical result of Weyl and Horn treating ...