THE PRECONDITIONED CONJUGATE GRADIENT METHOD FOR SOLVING CONVOLUTION-TYPE INTEGRAL EQUATIONS

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MALEKNEZHAD K.; MIRZAEI FARSHID

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Paper Information

Journal: INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE (ENGLISH) Year:2003 | Volume:14 | Issue:4 Page(s): 1-11

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Information Journal Paper

Title

THE PRECONDITIONED CONJUGATE GRADIENT METHOD FOR SOLVING CONVOLUTION-TYPE INTEGRAL EQUATIONS

Author(s)

MALEKNEZHAD K. | MIRZAEI FARSHID | Issue Writer Certificate

Keywords

TOEPLIZE SYSTEMSQ4

CIRCULANTSQ4

CG METHODQ4

PRECONDITIONERSQ4

INTEGRALQ4

EQUATIONS OF THE CONVOLUTION-TYPEQ4

EIGENVALUES.Q4

Abstract

The System of Ax=b in which A is a Toeplitz and symmetric positive definite (SPD) is derived from convolution-type INTEGRAL equations. At normal state, the system contains in appropriate EIGENVALUES.not clustering around 1. In the present paper, the preconditioned CG METHOD is used to solve the above-mentioned system. The using of CG METHOD with suitable PRECONDITIONERS causes clustering EIGENVALUES.of the new system around 1. As a result, the stability and convergence rate are guaranteed and at most we reach the answer in a steps.

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APA: Copy

MALEKNEZHAD, K., & MIRZAEI, FARSHID. (2003). THE PRECONDITIONED CONJUGATE GRADIENT METHOD FOR SOLVING CONVOLUTION-TYPE INTEGRAL EQUATIONS. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE (ENGLISH), 14(4), 1-11. SID. https://sid.ir/paper/52529/en

Vancouver: Copy

MALEKNEZHAD K., MIRZAEI FARSHID. THE PRECONDITIONED CONJUGATE GRADIENT METHOD FOR SOLVING CONVOLUTION-TYPE INTEGRAL EQUATIONS. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE (ENGLISH)[Internet]. 2003;14(4):1-11. Available from: https://sid.ir/paper/52529/en

IEEE: Copy

K. MALEKNEZHAD, and FARSHID MIRZAEI, “THE PRECONDITIONED CONJUGATE GRADIENT METHOD FOR SOLVING CONVOLUTION-TYPE INTEGRAL EQUATIONS,” INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE (ENGLISH), vol. 14, no. 4, pp. 1–11, 2003, [Online]. Available: https://sid.ir/paper/52529/en

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