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SIAMMAX
2010
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12 years 11 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
EUROPAR
2003
Springer
13 years 10 months ago
Parallel ScaLAPACK-Style Algorithms for Solving Continuous-Time Sylvester Matrix Equations
An implementation of a parallel ScaLAPACK-style solver for the general Sylvester equation, op(A)X −Xop(B) = C, where op(A) denotes A or its transpose AT , is presented. The paral...
Robert Granat, Bo Kågström, Peter Porom...