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Information Seminar Paper

Title

A FAST ITERATIVE METHOD FOR SOLVING FIRST KIND LINEAR INTEGRAL EQUATIONS

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Abstract

 IN THIS PAPER, WE STUDY THELS-ALGORITHM FOR SOLVING LINEAR INTEGRAL EQUATIONS OF THE FIRST KIND. THIS METHOD IS BASED ON THE REDUCING THE SOLUTION OF FIRST KIND LINEAR INTEGRAL EQUATIONS TO THE SOLUTION OF A LEAST SQUARES PROBLEM WITH BIDIAGONAL MATRIX.THEN APPLYING THE QR FACTORIZATION METHOD LEADS TO A SIMPLE RECURRENCE FORMULA FOR GENERATING THE SEQUENCE OF APPROXIMATE SOLUTIONS. SOME PROPERTIES AND CONVERGENCE THEOREM ARE PROPOSED. MOREOVER, REGULARIZATION PROPERTY OF THE NEW METHOD WITH A SUITABLE STOPPING RULE IS STUDIED. FINALLY, SOME NUMERICAL EXAMPLES ARE PRESENTED TO SHOW THE EFFICIENCY OF THE NEW METHOD.

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  • Cite

    APA: Copy

    Jozi, Meisam, & KARIMI, SAEED. (2015). A FAST ITERATIVE METHOD FOR SOLVING FIRST KIND LINEAR INTEGRAL EQUATIONS. ANNUAL IRANIAN MATHEMATICS CONFERENCE. SID. https://sid.ir/paper/921707/en

    Vancouver: Copy

    Jozi Meisam, KARIMI SAEED. A FAST ITERATIVE METHOD FOR SOLVING FIRST KIND LINEAR INTEGRAL EQUATIONS. 2015. Available from: https://sid.ir/paper/921707/en

    IEEE: Copy

    Meisam Jozi, and SAEED KARIMI, “A FAST ITERATIVE METHOD FOR SOLVING FIRST KIND LINEAR INTEGRAL EQUATIONS,” presented at the ANNUAL IRANIAN MATHEMATICS CONFERENCE. 2015, [Online]. Available: https://sid.ir/paper/921707/en

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