Accurately Counting Singular Values of Bidiagonal Matrices and Eigenvalues of Skew-Symmetric Tridiagonal Matrices

Abstract

We have developed algorithms to count singular values of a real bidiagonal matrix which are greater than a specified value. This requires the transformation of the singular value problem to an equivalent symmetric eigenvalue problem. The counting of singular values is paramount in the design of bisectionand multisection-type algorithms for computing… (More)
DOI: 10.1137/S089547989631175X

Topics

11 Figures and Tables