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» On matrices with the Edmonds-Johnson property
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SIAMMAX
2010
224views more  SIAMMAX 2010»
13 years 2 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
JPDC
2008
135views more  JPDC 2008»
13 years 7 months ago
Parallel block tridiagonalization of real symmetric matrices
Two parallel block tridiagonalization algorithms and implementations for dense real symmetric matrices are presented. Block tridiagonalization is a critical pre-processing step for...
Yihua Bai, Robert C. Ward
CORR
2010
Springer
92views Education» more  CORR 2010»
13 years 4 months ago
Regression on fixed-rank positive semidefinite matrices: a Riemannian approach
The paper addresses the problem of learning a regression model parameterized by a fixed-rank positive semidefinite matrix. The focus is on the nonlinear nature of the search space...
Gilles Meyer, Silvere Bonnabel, Rodolphe Sepulchre
TCS
2008
13 years 7 months ago
Parikh matrices and amiable words
Using the fact that the Parikh matrix mapping is not an injective mapping, the paper investigates some properties of the set of words with the same Parikh matrix; these words are ...
Adrian Atanasiu, Radu Atanasiu, Ion Petre
SIAMNUM
2011
139views more  SIAMNUM 2011»
13 years 2 months ago
Adaptive Wavelet Schemes for Parabolic Problems: Sparse Matrices and Numerical Results
A simultaneous space-time variational formulation of a parabolic evolution problem is solved with an adaptive wavelet method. This method is shown to converge with the best possibl...
Nabi Chegini, Rob Stevenson