Search Results - "Gohberg, I."

A fast implicit QR eigenvalue algorithm for companion matrices by Bini, D.A., Boito, P., Eidelman, Y., Gemignani, L., Gohberg, I.

“…An implicit version of the shifted QR eigenvalue algorithm given in Bini et al. [D.A. Bini, Y. Eidelman, I. Gohberg, L. Gemignani, SIAM J. Matrix Anal. Appl…”
Get full text

Eigenstructure of order-one-quasiseparable matrices. Three-term and two-term recurrence relations by Eidelman, Y., Gohberg, I., Olshevsky, Vadim

“…This paper presents explicit formulas and algorithms to compute the eigenvalues and eigenvectors of order-one-quasiseparable matrices. Various recursive…”
Get full text

Out-of-band quasiseparable matrices by Eidelman, Y., Gohberg, I.

“…We study structured matrices which consist of a band part and quasiseparable parts below and upper the band. We extend algorithms known for quasiseparable…”
Get full text

The unitary completion and QR iterations for a class of structured matrices by Bini, D. A., Eidelman, Y., Gemignani, L., Gohberg, I.

“…We consider the problem of completion of a matrix with a specified lower triangular part to a unitary matrix. In this paper we obtain the necessary and…”
Get full text

The Resultant for Regular Matrix Polynomials and Quasi Commutativity by Gohberg, I., Kaashoek, M.A., Lerer, L.

“…Necessary and sufficient conditions are presented in order that for two regular matrix polynomials the null space of the straightforward analogue of the…”
Get full text

Fast Gaussian Elimination with Partial Pivoting for Matrices with Displacement Structure by Gohbert, I., Kailath, T., Olshevsky, V.

“…Fast O(n2) implementation of Gaussian elimination with partial pivoting is designed for matrices possessing Cauchy-like displacement structure. We show how…”
Get full text

On a class of entire matrix function equations by Gohberg, I., Kaashoek, M.A., Lerer, L.

“…This paper treats a class of linear entire matrix function equations which appear naturally in the study of Kreıˇn orthogonal matrix functions. Necessary and…”
Get full text

On generators of quasiseparable finite block matrices by Eidelman, Y., Gohberg, I.

“…We present basic theoretical results on quasiseparable representations of finite block matrices. Most attention is paid to different representations of…”
Get full text

Fast inversion algorithms for a class of structured operator matrices by Eidelman, Y., Gohberg, I.

“…We study linear complexity inversion algorithms for diagonal plus semiseparable operator matrices. Applications to integral and differential equations and…”
Get full text

Schur complements and state space realizations by Bart, H., Gohberg, I., Kaashoek, M.A., Ran, A.C.M.

“…Motivated by state space realizations of transfer functions from system theory, a number of operations on Schur complements are introduced and studied. These…”
Get full text

Direct approach to the band completion problem by Eidelman, Y., Gohberg, I.

“…We study the problem of completion of a matrix with a specified band in such a way that the inverse be a band matrix with the same width. For the general block…”
Get full text

Krein Systems and Canonical Systems on a Finite Interval: Accelerants with a Jump Discontinuity at the Origin and Continuous Potentials by Alpay, D., Gohberg (Z′′L), I., Kaashoek, M. A., Lerer, L., Sakhnovich, A. L.

“…This paper is devoted to connections between accelerants and potentials of Krein systems and of canonical systems of Dirac type, both on a finite interval. It…”
Get full text

Implicit QR with compression by Boito, P., Eidelman, Y., Gemignani, L., Gohberg (Z”L), I.

“…In this paper, we elaborate on the implicit shifted QR eigenvalue algorithm given in [D.A. Bini, P. Boito, Y. Eidelman, L. Gemignani, I. Gohberg, A fast…”
Get full text

On inversion of finite Toeplitz matrices with elements in an algebraic ring by Gohberg, I., Kaashoek, M.A., van Schagen, F.

“…Two proofs are given of the Gohberg–Heinig formula for the inverse of a Toeplitz matrix with elements in a ring. The first, which is close in spirit to the…”
Get full text

Circulants, displacements and decompositions of matrices by GOHBERG, I, OLSHEVSKY, V

Get full text

Fast inversion of Chebyshev-Vandermonde matrices by GOHBERG, I, OLSHEVSKY, V

Get full text

Fast Preconditioned Conjugate Gradient Algorithms for Wiener-Hopf Integral Equations by Gohberg, I., Hanke, M., Koltracht, I.

“…In this paper the authors study circulant approximations of finite sections of a Wiener-Hopf integral equation on the half-line. Such circulant operators are…”
Get full text

Invertibility and dichotomy of differential operators on a half-line by Ben-Artzi, A., Gohberg, I., Kaashoek, M. A.

Get full text

Computations with quasiseparable polynomials and matrices by Bella, T., Eidelman, Y., Gohberg, I., Olshevsky, V.

“…In this paper, we survey several recent results that highlight an interplay between a relatively new class of quasiseparable matrices and univariate…”
Get full text

A frequency response function for linear, time-varying systems by BALL, J. A, GOHBERG, I, KAASHOEK, M. A

Get full text