Column Action Method with Orthogonalization for System of
Linear Algebraic Equations

YANG Ben-li; ZENG Xian-wen; LI An-zhi

Volume 16 Issue 4

Aug. 2003

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Article Contents

Journal of Southwest Jiaotong University > 2003 > 16(4): 445-449.

YANG Ben-li, ZENG Xian-wen, LI An-zhi. Column Action Method with Orthogonalization for System ofLinear Algebraic Equations[J]. Journal of Southwest Jiaotong University, 2003, 16(4): 445-449.

Citation:

YANG Ben-li, ZENG Xian-wen, LI An-zhi. Column Action Method with Orthogonalization for System of Linear Algebraic Equations[J]. Journal of Southwest Jiaotong University, 2003, 16(4): 445-449.

YANG Ben-li, ZENG Xian-wen, LI An-zhi. Column Action Method with Orthogonalization for System ofLinear Algebraic Equations[J]. Journal of Southwest Jiaotong University, 2003, 16(4): 445-449.

Citation:

YANG Ben-li, ZENG Xian-wen, LI An-zhi. Column Action Method with Orthogonalization for System of Linear Algebraic Equations[J]. Journal of Southwest Jiaotong University, 2003, 16(4): 445-449.

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Column Action Method with Orthogonalization for System of Linear Algebraic Equations

Publish Date: 25 Aug 2003

Abstract

Abstract

A new SISD iterative algorithm is put forward to effectively solve arbitrary consistent or inconsistent system of linear algebraic equations. It is proved that accurate theoretic or least square solutions of the system can be obtained throughmiterations. In addition, the computational complexity, the numerical stability and the inherent parallelism of the algorithm are discussed.
- linear algebra,
- system of equations,
- solution