Block Triangular and Skew-Hermitian Splitting Methods for Positive-Definite Linear Systems

By Zhong-Zhi Bai, Gene H. Golub, Linzhang Lu, Junfeng Yin. SIAM Journal on Scientific Computing, 2005

333 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/d7ff287b6c3d0fafae3c3729b6db4dace5aa58d9

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Zhong-Zhi Bai
2. Gene H. Golub
3. Michael Kwok-Po Ng
4. Guo
5. Bai
6. Zhong-zhi
7. Xue-ping
8. Michele Benzi

In Numerical Analysis

1. Zhong-Zhi Bai
2. Gene H. Golub
3. Guo
4. Bai
5. Zhong-zhi
6. Xue-ping
7. Michael Kwok-Po Ng
8. Michele Benzi

Citations in the corpus

• ON NEWTON-HSS METHODS FOR SYSTEMS OF NONLINEAR EQUATIONS WITH POSITIVE-DEFINITE JACOBIAN MATRICES (2010, methodology): “Alternatively, the HSS iteration itself may be replaced as the secondary iteration by, for example, any of the NSS1) [12,16], the PSS2) [12,14] 1) NSS represents the normal and skew-Hermitian splitting.”
• Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems (2002, methodology): “Recently, the preconditioned HSS iterations and the extension of the HSS method to positive definite and positive semidefinite linear systems have been studied in [6,10,4,11,13,8,3].”