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» A fast solver for linear systems with displacement structure
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DAGSTUHL
2008
13 years 10 months ago
Fast (Parallel) Dense Linear System Solvers in C-XSC Using Error Free Transformations and BLAS
Existing selfverifying solvers for dense linear (interval-)systems in C-XSC provide high accuracy, but are rather slow. A new set of solvers is presented, which are a lot faster th...
Walter Krämer, Michael Zimmer
ICIP
2002
IEEE
14 years 10 months ago
New dictionary and fast atom searching method for matching pursuit representation of displaced frame difference
Matching Pursuit decomposes a signal into a linear expansion of functions selected from a redundant dictionary, isolating the signal structures that are coherent with respect to a...
Fulvio Moschetti, Lorenzo Granai, Pierre Vanderghe...
ISSAC
2007
Springer
94views Mathematics» more  ISSAC 2007»
14 years 2 months ago
Solving toeplitz- and vandermonde-like linear systems with large displacement rank
Linear systems with structures such as Toeplitz-, Vandermonde- or Cauchy-likeness can be solved in O˜(α2 n) operations, where n is the matrix size, α is its displacement rank, ...
Alin Bostan, Claude-Pierre Jeannerod, Éric ...
ICCS
2004
Springer
14 years 1 months ago
A Fast Multifrontal Solver for Non-linear Multi-physics Problems
The paper presents a highly optimized implementation of a multifrontal solver for linear systems arising in the FEM simulation of multi-physics problems related to the behaviour of...
Alberto Bertoldo, Mauro Bianco, Geppino Pucci
DAGSTUHL
2008
13 years 10 months ago
Improving the Performance of a Verified Linear System Solver Using Optimized Libraries and Parallel Computation
Abstract. A parallel version of the self-verified method for solving linear systems was presented in [19, 18]. In this research we propose improvements aiming at a better performan...
Mariana Luderitz Kolberg, Gerd Bohlender, Dalcidio...