On the WZ Factorization of the Real and Integer Matrices

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BABOLIAN E.; GOLPAR RABOKY E.

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Journal Paper

Paper Information

Journal: IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS Year:2022 | Volume:17 | Issue:1 Page(s): 71-83

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Title

On the WZ Factorization of the Real and Integer Matrices

Author(s)

BABOLIAN E. | GOLPAR RABOKY E. | Issue Writer Certificate

Keywords

Linear systems

Quadrant interlocking factorization

WZ factorization

ZW factorization

Null space generator

Abstract

The QIF (Quadrant Interlocking Factorization) method of Evans and Hatzopoulos solves linear equation systems using WZ factor-ization. The WZ factorization can be faster than the LU factorization because, it performs the simultaneous evaluation of two columns or two rows. Here, we present a method for computing the real and integer WZ and ZW factorizations by using the null space generators of some special nested submatrices of a matrix A.

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APA: Copy

BABOLIAN, E., & GOLPAR RABOKY, E.. (2022). On the WZ Factorization of the Real and Integer Matrices. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), 17(1), 71-83. SID. https://sid.ir/paper/991476/en

Vancouver: Copy

BABOLIAN E., GOLPAR RABOKY E.. On the WZ Factorization of the Real and Integer Matrices. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI)[Internet]. 2022;17(1):71-83. Available from: https://sid.ir/paper/991476/en

IEEE: Copy

E. BABOLIAN, and E. GOLPAR RABOKY, “On the WZ Factorization of the Real and Integer Matrices,” IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), vol. 17, no. 1, pp. 71–83, 2022, [Online]. Available: https://sid.ir/paper/991476/en

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