A Lanczos Bidiagonalization Algorithm for Hankel Matrices ∗
, 2008 This paper presents an O(mn log m) algorithm for bidiagonalizing a Hankel matrix. An m×n Hankel matrix is reduced to a real bidiagonal matrix in O((m+n)n log(m+n)) floating-point operations (flops) using the Lanczos method with modified partial ...
Browne, Kevin +5 more
core +1 more source
TOEPLITZ/HANKEL MATRIX ALGEBRA IN MODEL PREDICTIVE CONTROL
Perner’s Contacts, 2008 Model-based Predictive Control (MPC) algorithms popularity grows steadily in industry and academic area as well. Control actions are computed as an optimization problem.
Daniel Honc, Libor Havlíček
doaj
The singular-value decomposition of an infinite Hankel matrix
Linear Algebra and its Applications, 1983 AbstractLet H be an infinite Hankel matrix of known finite rank r. A new algorithm for the numerical calculation of the singular values and vectors of H is presented. The method proceeds by reduction to the singular value problem for an r×r matrix; this is achieved without solving for the poles of the symbol of H. The resulting algorithm is of order r3.
openaire +1 more source
Hankel norm of polytopic systems with time-varying delay
, 2008 This paper addresses the Hankel norm of polytopic systems with time-varying delay. Delay-dependent sufficient conditions are presented such that the polytopic system is stable and the Hankel norm of the polytopic system is less than a prescribed scalar ...
Wang QY(王清阳), Qing Wang
core
Clutter Elimination and Random-Noise Denoising of GPR Signals Using an SVD Method Based on the Hankel Matrix in the Local Frequency Domain. [PDF]
Sensors (Basel), 2018 Bi W, Zhao Y, An C, Hu S.
europepmc +1 more source
Robust recovery of complex exponential signals from random Gaussian projections via low rank Hankel matrix reconstruction. [PDF]
Appl Comput Harmon Anal, 2016 Cai JF, Qu X, Xu W, Ye GB.
europepmc +1 more source
Fast Algorithms for Solving H-infinity-Norm Minimization Problems
, 2001 In this paper we propose an efficient computation approach to minimize the H-infinity-norm of a transfer-function matrix depending affinely on a set of free parameters.
Varga, Andras, Parrilo, Pablo
core
Assessment of reconstruction accuracy for under-sampled 31P-MRS data using compressed sensing and a low rank Hankel matrix completion approach. [PDF]
Front Endocrinol (Lausanne)García JA +2 more
europepmc +1 more source
Hankel tensors : associated Hankel matrices and Vandermonde decomposition
, 2014 Hankel tensors arise from applications such as signal processing. In this paper, we make an initial study on Hankel tensors. For each Hankel tensor, we associate a Hankel matrix and a higher order two-dimensional symmetric tensor, which we call the ...
Qi, L, Liqun Qi
core
On the computation of the structured total least squares estimator
, 2004 A class of structured total least squares problems is considered, in which the extended data matrix is partitioned into blocks and each of the blocks is (block) Toeplitz/Hankel structured, unstructured, or noise free.
Van Huffel, S. +2 more
core