BICONJUGATE DECOMPOSITION USING ABS ALGORITHMS

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GOLPAR RABOKY E.; FATTAHZADEH F.; SHOJAEIZADEH T.

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Journal Paper

Paper Information

Journal: INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS Year:2009 | Volume:1 | Issue:3 Page(s): 255-264

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Information Journal Paper

Title

BICONJUGATE DECOMPOSITION USING ABS ALGORITHMS

Author(s)

GOLPAR RABOKY E. | FATTAHZADEH F. | SHOJAEIZADEH T. | Issue Writer Certificate

Keywords

ABS ALGORITHMS

EXTENDED ABS ALGORITHM

BICONJUGATE PAIR

MATRIX DECOMPOSITION

BICONJUGATE DECOMPOSITION

EQUIVALENT DIAGONAL FORM

Abstract

ABS method provides the general solution of a system by computing a solution and a matrix, called the Abaffian matrix, with rows generating the null space of the coefficient matrix. We present an algorithm for computing a BICONJUGATE PAIR (V, P), such that VT AP=W a diagonal and nonsingular matrix, using ABS algorithm. Then we propose an algorithm for computing an EQUIVALENT DIAGONAL FORM of a matrix A by using the EXTENDED ABS ALGORITHM.

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APA: Copy

GOLPAR RABOKY, E., FATTAHZADEH, F., & SHOJAEIZADEH, T.. (2009). BICONJUGATE DECOMPOSITION USING ABS ALGORITHMS. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 1(3), 255-264. SID. https://sid.ir/paper/585201/en

Vancouver: Copy

GOLPAR RABOKY E., FATTAHZADEH F., SHOJAEIZADEH T.. BICONJUGATE DECOMPOSITION USING ABS ALGORITHMS. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS[Internet]. 2009;1(3):255-264. Available from: https://sid.ir/paper/585201/en

IEEE: Copy

E. GOLPAR RABOKY, F. FATTAHZADEH, and T. SHOJAEIZADEH, “BICONJUGATE DECOMPOSITION USING ABS ALGORITHMS,” INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, vol. 1, no. 3, pp. 255–264, 2009, [Online]. Available: https://sid.ir/paper/585201/en

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