Cholesky-like factorization of symmetric indefinite matrices and orthogonalization with respect to bilinear forms

M RozložnÍk, F Okulicka-Dłuzewska… - SIAM Journal on Matrix …, 2015 - SIAM
It is well known that orthogonalization of column vectors in a rectangular matrix B with
respect to the bilinear form induced by a nonsingular symmetric indefinite matrix A can be …

A note on the perturbation analysis for the generalized Cholesky factorization

H Li, H Yang, H Shao - Applied mathematics and computation, 2010 - Elsevier
In this note, we consider the perturbation analysis for the generalized Cholesky factorization
further. The conditions for the main theorems of the paper [W.-G. Wang, J.-X. Zhao …

Perturbation analysis for block downdating of the generalized Cholesky factorization

H Li, H Yang, H Shao - Applied Mathematics and Computation, 2012 - Elsevier
The generalized Cholesky factorization is a generalization of the classical Cholesky
factorization and its block downdating problem means finding the downdated generalized …

[引用][C] Indefinite orthogonalization with rounding errors

M Rozložník, F Okulicka-Dłuzewska, A Smoktunowicz - 2013 - submitted

[引用][C] The Structure of Parallel Computation on a Class of Multi-Stage Portfolio Problems

YH Jen - 2008