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Saad Shakir Mahmood
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TOTALLY AND CONTRA SUPRA -CONTINUOUS FUNCTIONS Salih, Hula M; Hussain, Dhea Kamel; Mahmood, Saad Shakir
MAGISTRA Vol 26, No 87 (2014): Magistra Edisi Maret
Publisher : MAGISTRA

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Abstract

In this paper, totally supra-continuous functions and contra supra -continuous functions are introduced and studied. Furthermore, some basic properties and theorem of totally supra -continuous functions and contra supra -continuous functions are investigated. Key words: - open sets, supra - open sets, supra -continuous functions totally -continuous functions, and contra supra -continuous functions.
MODIFYING BFGS UPDATE FOR UNCONSTRAINED OPTIMIZATION Mahmood, Saad Shakir
MAGISTRA Vol 16, No 51 (2004): Magistra Edisi Desember
Publisher : MAGISTRA

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In this work, we propose the a-BFGS update. We show that under certain circumstance this a-BFGS update corrects the condition number of the Hessain matrix better than the BFGS does. Our numerical result support this claim and also indicate that the a-BFGS update may be competitive with the BFGS update in general. This a-BFGS update can Key words. Unconstrained optimization, Quasi-Newton methods, BFGS update.
THE CHOLESKY UPDATE FOR UNCONSTRAINED OPTIMIZATION Mahmood, saad Shakir
MAGISTRA Vol 24, No 80 (2012): Magistra Edisi Juni
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Abstract

It is well known that the unconstrained Optimization often arises in economies, finance, trade, law,meteorology, medicine, biology, chemistry, engineering, physics, education, history, sociology, psychology,and so on. The classical Unconstrained Optimization is based on the Updating of Hessian matrix and computedof its inverse which make the solution is very expensive. In this work we will updating the LU factors of theHessian matrix so we don’t need to compute the inverse of Hessian matrix, so called the Cholesky Update forunconstrained optimization. We introduce the convergent of the update and report our findings on severalstandard problems, and make a comparison on its performance with the well-accepted BFGS update.Key words: Unconstrained Optimization, Cholesky factorization, convergence
THE INTEGRATION FORMULA TO FIND THE PARTICULAR SOLUTION FOR NONHOMOGENEOUS LINEAR ODE Mahmood, Saad Shakir
MAGISTRA Vol 23, No 75 (2011): Magistra Edisi Maret
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Abstract

In this paper we proposed a new method to find the particular solution for the nonhomogeneous linearODE of higher order with constant coefficient.
THE FIXED DETERMINANT UPDATE FOR UNCONSTRAINED OPTIMIZATION Mahmood, Saad Shakir; Mansour, Ali Ibrahem
MAGISTRA Vol 22, No 72 (2010): Magistra Edisi Juni
Publisher : MAGISTRA

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Abstract

In this paper, we proposed a new method to compute the LU factors for Hessian matrix, for an update if it its determinant known. Numerical examples are given at the end of this paper.
Co-Authors Ali Ibrahem Mansour Dhea Kamel Hussain Hula M Salih