MINRES Seed Projection Methods for Solving Symmetric Linear Systems with Multiple Right-Hand Sides

Joint Authors

Li, Xin
Liu, Hao
Zhu, Jingfu

Source

Mathematical Problems in Engineering

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-6, 6 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-06-12

Country of Publication

Egypt

No. of Pages

6

Main Subjects

Civil Engineering

Abstract EN

We consider the MINRES seed projection method for solving multiple right-hand side linear systems AX=B, where A∈Rn×n is a nonsingular symmetric matrix, B∈Rn×p.

In general, GMRES seed projection method is one of the effective methods for solving multiple right-hand side linear systems.

However, when the coefficient matrix is symmetric, the efficiency of this method would be weak.

MINRES seed projection method for solving symmetric systems with multiple right-hand sides is proposed in this paper, and the residual estimation is analyzed.

The numerical examples show the efficiency of this method.

American Psychological Association (APA)

Li, Xin& Liu, Hao& Zhu, Jingfu. 2014. MINRES Seed Projection Methods for Solving Symmetric Linear Systems with Multiple Right-Hand Sides. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-465555

Modern Language Association (MLA)

Li, Xin…[et al.]. MINRES Seed Projection Methods for Solving Symmetric Linear Systems with Multiple Right-Hand Sides. Mathematical Problems in Engineering No. 2014 (2014), pp.1-6.
https://search.emarefa.net/detail/BIM-465555

American Medical Association (AMA)

Li, Xin& Liu, Hao& Zhu, Jingfu. MINRES Seed Projection Methods for Solving Symmetric Linear Systems with Multiple Right-Hand Sides. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-465555

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-465555