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SIAMMAX
2010
110views more  SIAMMAX 2010»
13 years 6 months ago
Direction-Preserving and Schur-Monotonic Semiseparable Approximations of Symmetric Positive Definite Matrices
For a given symmetric positive definite matrix A RN
Ming Gu, Xiaoye S. Li, Panayot S. Vassilevski
TPDS
2008
97views more  TPDS 2008»
13 years 11 months ago
Solving Systems of Linear Equations on the CELL Processor Using Cholesky Factorization
: The STI CELL processor introduces pioneering solutions in processor architecture. At the same time it presents new challenges for the development of numerical algorithms. One is ...
Jakub Kurzak, Alfredo Buttari, Jack Dongarra
COMPUTING
2006
126views more  COMPUTING 2006»
13 years 11 months ago
Algebraic Multigrid Based on Computational Molecules, 1: Scalar Elliptic Problems
We consider the problem of splitting a symmetric positive definite (SPD) stiffness matrix A arising from finite element discretization into the sum of edge matrices thereby assumi...
J. K. Kraus, Josef Schicho
CORR
2010
Springer
153views Education» more  CORR 2010»
13 years 11 months ago
Towards an Efficient Tile Matrix Inversion of Symmetric Positive Definite Matrices on Multicore Architectures
The algorithms in the current sequential numerical linear algebra libraries (e.g. LAPACK) do not parallelize well on multicore architectures. A new family of algorithms, the tile a...
Emmanuel Agullo, Henricus Bouwmeester, Jack Dongar...
ISBI
2006
IEEE
15 years 5 days ago
A fast and rigorous anisotropic smoothing method for DT-MRI
Tensors are nowadays an increasing research domain in different areas, especially in image processing, motivated for example by DT-MRI (Diffusion Tensor Magnetic Resonance Imaging...
Carlos A. Castaño-Moraga, Christophe Lengle...
CVPR
2008
IEEE
15 years 1 months ago
A recursive filter for linear systems on Riemannian manifolds
We present an online, recursive filtering technique to model linear dynamical systems that operate on the state space of symmetric positive definite matrices (tensors) that lie on...
Ambrish Tyagi, James W. Davis