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SIAMMAX
2010
145views more  SIAMMAX 2010»
14 years 4 months ago
Adaptive First-Order Methods for General Sparse Inverse Covariance Selection
In this paper, we consider estimating sparse inverse covariance of a Gaussian graphical model whose conditional independence is assumed to be partially known. Similarly as in [5],...
Zhaosong Lu
SIAMMAX
2010
116views more  SIAMMAX 2010»
14 years 4 months ago
Acquired Clustering Properties and Solution of Certain Saddle Point Systems
Many mathematical models involve flow equations characterized by nonconstant viscosity, and a Stokes type problem with variable viscosity coefficient arises. Appropriate block diag...
M. A. Olshanskii, V. Simoncini
SIAMMAX
2010
104views more  SIAMMAX 2010»
14 years 4 months ago
Rigorous Perturbation Bounds of Some Matrix Factorizations
This article presents rigorous normwise perturbation bounds for the Cholesky, LU and QR factorizations with normwise or componentwise perturbations in the given matrix. The conside...
Xiao-Wen Chang, Damien Stehlé
SIAMMAX
2010
103views more  SIAMMAX 2010»
14 years 4 months ago
On Chebyshev Polynomials of Matrices
The mth Chebyshev polynomial of a square matrix A is the monic polynomial that minimizes the matrix 2-norm of p(A) over all monic polynomials p(z) of degree m. This polynomial is u...
Vance Faber, Jörg Liesen, Petr Tichý
SIAMMAX
2010
117views more  SIAMMAX 2010»
14 years 4 months ago
On the Convergence of Rational Ritz Values
Ruhe's rational Krylov method is a popular tool for approximating eigenvalues of a given matrix, though its convergence behavior is far from being fully understood. Under fair...
Bernhard Beckermann, Stefan Güttel, Raf Vande...