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» The Structure of Sparse Resultant Matrices
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ISSAC
2007
Springer
106views Mathematics» more  ISSAC 2007»
15 years 9 months ago
Numerical techniques for computing the inertia of products of matrices of rational numbers
Consider a rational matrix, particularly one whose entries have large numerators and denominators, but which is presented as a product of very sparse matrices with relatively smal...
John P. May, B. David Saunders, David Harlan Wood
121
Voted
CF
2005
ACM
15 years 5 months ago
Sparse matrix storage revisited
In this paper, we consider alternate ways of storing a sparse matrix and their effect on computational speed. They involve keeping both the indices and the non-zero elements in t...
Malik Silva
124
Voted
CORR
2010
Springer
133views Education» more  CORR 2010»
15 years 3 months ago
Nonuniform Sparse Recovery with Gaussian Matrices
Compressive sensing predicts that sufficiently sparse vectors can be recovered from highly incomplete information. Efficient recovery methods such as 1-minimization find the sparse...
Ulas Ayaz, Holger Rauhut
138
Voted
SIAMMAX
2010
224views more  SIAMMAX 2010»
14 years 10 months ago
Robust Approximate Cholesky Factorization of Rank-Structured Symmetric Positive Definite Matrices
Abstract. Given a symmetric positive definite matrix A, we compute a structured approximate Cholesky factorization A RT R up to any desired accuracy, where R is an upper triangula...
Jianlin Xia, Ming Gu
IPPS
2008
IEEE
15 years 10 months ago
On the representation and multiplication of hypersparse matrices
Multicore processors are marking the beginning of a new era of computing where massive parallelism is available and necessary. Slightly slower but easy to parallelize kernels are ...
Aydin Buluç, John R. Gilbert