Saddle Point Non-Singular Value Solution Based on Generalized Inverse Hermitian Triangulation and Split Iteration

DOI

10.2991/wartia-16.2016.6How to use a DOI?

Keywords

Saddle point system, Split iteration, Generalized anti Hermitian, Convergence, Non-singular

Abstract

In order to achieve the nonsingular solution of saddle point linear system, this paper proposes an improved nonlinear Uzawa splitting iteration method, and combined with the generalized anti Hermitian triangle method, the algorithm is further modified, to improves the convergence of the algorithm. Finally, using the GMRES method and block diagonal Hermitian constraints carry out solve for the saddle point linear system, and then this paper can obtain the comparison results of saddle point coefficient matrix spectrum and calculation speed and accuracy. It can be seen from the calculation results that combined with the generalized inverse Hermitian triangulation method, the modified nonlinear Uzawa splitting iteration method has faster calculation speed and better convergence.

Copyright

© 2016, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Juan Li
PY  - 2016/05
DA  - 2016/05
TI  - Saddle Point Non-Singular Value Solution Based on Generalized Inverse Hermitian Triangulation and Split Iteration
BT  - Proceedings of the 2016 2nd Workshop on Advanced Research and Technology in Industry Applications
PB  - Atlantis Press
SP  - 26
EP  - 30
SN  - 2352-5401
UR  - https://doi.org/10.2991/wartia-16.2016.6
DO  - 10.2991/wartia-16.2016.6
ID  - Li2016/05
ER  -