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SIAMMAX
2010
111views more  SIAMMAX 2010»
13 years 9 days 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
88views more  SIAMMAX 2010»
13 years 9 days ago
Schur Decompositions of a Matrix and the Boundary of Its Pseudospectrum
Abstract. We discuss the notion of irreducible block Schur decomposition of a complex square matrix and show how such a decomposition provides information about singularities in th...
Lyonell Boulton, Peter Lancaster
SIAMMAX
2010
76views more  SIAMMAX 2010»
13 years 9 days 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
111views more  SIAMMAX 2010»
13 years 9 days ago
Stochastic Galerkin Matrices
We investigate the structural, spectral, and sparsity properties of Stochastic Galerkin matrices as they arise in the discretization of linear differential equations with random co...
Oliver G. Ernst, Elisabeth Ullmann
SIAMMAX
2010
97views more  SIAMMAX 2010»
13 years 9 days ago
Krylov Subspace Methods for Linear Systems with Tensor Product Structure
The numerical solution of linear systems with certain tensor product structures is considered. Such structures arise, for example, from the finite element discretization of a line...
Daniel Kressner, Christine Tobler