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AL-Rafidain Journal of Computer Sciences and Mathematics

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Parallel Newtonian Optimization without Hessian Approximation

    Khalil K. Abbo

AL-Rafidain Journal of Computer Sciences and Mathematics, 2006, Volume 3, Issue 2, Pages 69-82
10.33899/csmj.2006.164053

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Abstract

The purpose of this paper is to introduce parallel algorithms based on the Newton method for solving non-linear unconstrained optimization problem in (MIMD) parallel computers by solving linear system in parallel using Gaussian Elimination method rather than finding inverse Hessian matrix to avoid the errors caused by evaluating the inverse matrix and also to increase computing power and reduce run time.
 
Keywords:
    non-linear unconstrained optimization Newton method parallel algorithm Hessian matrix
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(2006). Parallel Newtonian Optimization without Hessian Approximation. AL-Rafidain Journal of Computer Sciences and Mathematics, 3(2), 69-82. doi: 10.33899/csmj.2006.164053
Khalil K. Abbo. "Parallel Newtonian Optimization without Hessian Approximation". AL-Rafidain Journal of Computer Sciences and Mathematics, 3, 2, 2006, 69-82. doi: 10.33899/csmj.2006.164053
(2006). 'Parallel Newtonian Optimization without Hessian Approximation', AL-Rafidain Journal of Computer Sciences and Mathematics, 3(2), pp. 69-82. doi: 10.33899/csmj.2006.164053
Parallel Newtonian Optimization without Hessian Approximation. AL-Rafidain Journal of Computer Sciences and Mathematics, 2006; 3(2): 69-82. doi: 10.33899/csmj.2006.164053
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