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SIAMMAX
2010
92views more  SIAMMAX 2010»
9 years 6 months ago
Estimating the Backward Error in LSQR
We propose practical stopping criteria for the iterative solution of sparse linear least squares (LS) problems. Although we focus our discussion on the algorithm LSQR of Paige and ...
Pavel Jiránek, David Titley-Péloquin
SIAMMAX
2010
149views more  SIAMMAX 2010»
9 years 6 months ago
The Condition Metric in the Space of Rectangular Full Rank Matrices
The condition metric in spaces of polynomial systems has been introduced and studied in a series of papers by Beltr
Paola Boito, Jean-Pierre Dedieu
SIAMMAX
2010
134views more  SIAMMAX 2010»
9 years 6 months ago
Dynamical Tensor Approximation
For the approximation of time-dependent data tensors and of solutions to tensor differential equations by tensors of low Tucker rank, we study a computational approach that can be ...
Othmar Koch, Christian Lubich
SIAMMAX
2010
111views more  SIAMMAX 2010»
9 years 6 months ago
The Canonical Generalized Polar Decomposition
The polar decomposition of a square matrix has been generalized by several authors to scalar products on Rn or Cn given by a bilinear or sesquilinear form. Previous work has focuse...
Nicholas J. Higham, Christian Mehl, Françoi...
SIAMMAX
2010
76views more  SIAMMAX 2010»
9 years 6 months ago
Matrix Structures and Parallel Algorithms for Image Superresolution Reconstruction
Computational resolution enhancement (superresolution) is generally regarded as a memory intensive process due to the large matrix-vector calculations involved. In this paper, a de...
Qiang Zhang, Richard T. Guy, Robert J. Plemmons
SIAMMAX
2010
86views more  SIAMMAX 2010»
9 years 6 months ago
GMRES Methods for Least Squares Problems
Ken Hayami, Jun-Feng Yin, Tokushi Ito
SIAMMAX
2010
156views more  SIAMMAX 2010»
9 years 6 months ago
Preconditioned Conjugate Gradient Method for Optimal Control Problems with Control and State Constraints
Optimality systems and their linearizations arising in optimal control of partial differential equations with pointwise control and (regularized) state constraints are considered. ...
Roland Herzog, Ekkehard W. Sachs
SIAMMAX
2010
92views more  SIAMMAX 2010»
9 years 6 months ago
Solving a Structured Quadratic Eigenvalue Problem by a Structure-Preserving Doubling Algorithm
Abstract. In studying the vibration of fast trains, we encounter a palindromic quadratic eigenvalue problem (QEP) (2AT +Q+A)z = 0, where A, Q Cn
Chun-Hua Guo, Wen-Wei Lin
SIAMMAX
2010
146views more  SIAMMAX 2010»
9 years 6 months ago
A Comparison of Two-Level Preconditioners Based on Multigrid and Deflation
It is well-known that two-level and multi-level preconditioned conjugate gradient (PCG) methods provide efficient techniques for solving large and sparse linear systems whose coeff...
J. M. Tang, S. P. MacLachlan, Reinhard Nabben, C. ...
SIAMMAX
2010
116views more  SIAMMAX 2010»
9 years 6 months ago
Structured Total Maximum Likelihood: An Alternative to Structured Total Least Squares
Abstract. Linear inverse problems with uncertain measurement matrices appear in many different applications. One of the standard techniques for solving such problems is the total l...
Amir Beck, Yonina C. Eldar
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