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Information Journal Paper

Title

A new multi-step ABS model to solve full row rank linear systems

Pages

  5-17

Abstract

ABS methods are direct iterative methods for solving linear systems of equations, where the i-th iteration satisfies the first i equations. Thus, a system of m equations is solved in at most m ABS iterates. In 2004 and 2007, two-step ABS methods were introduced in at most [((m+1))/2] steps to solve Full row rank linear systems of equations. These methods consuming less space, are more compress than corresponding Huang’ s method. Also, these ABS-type models need less number of multiplications for a square system. In this paper, in order to economize and compress required space, we present a new three-step ABS procedure that is terminated in at most [((m+2))/3] steps. Computational complexity is considerable up to those corresponding Huang’ s method and initial two-step ABS approaches. we present a new three-step ABS procedure that is terminated in at most [((m+2))/3] steps. Computational complexity is considerable up to those corresponding Huang’ s method and initial two-step ABS approaches.

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    APA: Copy

    Paripour, Mahmoud, BABOLIAN, ESMAEIL, & Asadbeigi, Leila. (2021). A new multi-step ABS model to solve full row rank linear systems. JOURNAL OF NEW RESEARCHES IN MATHEMATICS, 6(26 ), 5-17. SID. https://sid.ir/paper/950741/en

    Vancouver: Copy

    Paripour Mahmoud, BABOLIAN ESMAEIL, Asadbeigi Leila. A new multi-step ABS model to solve full row rank linear systems. JOURNAL OF NEW RESEARCHES IN MATHEMATICS[Internet]. 2021;6(26 ):5-17. Available from: https://sid.ir/paper/950741/en

    IEEE: Copy

    Mahmoud Paripour, ESMAEIL BABOLIAN, and Leila Asadbeigi, “A new multi-step ABS model to solve full row rank linear systems,” JOURNAL OF NEW RESEARCHES IN MATHEMATICS, vol. 6, no. 26 , pp. 5–17, 2021, [Online]. Available: https://sid.ir/paper/950741/en

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