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Information Seminar Paper

Title

HYBRID SPECTRAL GRADIENT METHOD FOR THE LARGE SCALE UNCONSTRAINED MINIMIZATION PROBLEM

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Abstract

 THIS PAPER PROPOSES A HYBRID ALGORITHM OF THE COMBINED NON MONOTONE LINE SEARCH TECHNIQUE AND BARZILAI-BORWEIN (BB) GRADIENT METHOD WITH GENETIC ALGORITHM (GA) FOR SOLVING LARGE-SCALE UNCONSTRAINED MINIMIZATION PROBLEM. IN THE PROPOSED METHOD, THE ADAPTIVE CYCLIC BARZILAI-BORWEIN (ACBB) METHOD IS UTILIZED FOR COMPUTING THE SPECTRAL COEFFICIENTS. UNDER APPROPRIATE CONDITIONS, IT IS SHOWN THAT THE SPECTRAL GRADIENT METHOD WITH THIS LINE SEARCH IS GLOBALLY CONVERGENT. NUMERICAL RESULTS SHOW THE EFFICIENCY OF THE PROPOSED METHOD IN PRACTICE.

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