A descent algorithm without line search for unconstrained optimization

In this paper, a new descent algorithm for solving unconstrained optimization problem is presented. Its search direction is descent and line search procedure can be avoided except for the first iteration. It is globally convergent under mild conditions. The search direction of the new algorithm is g...

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Published inApplied mathematics and computation Vol. 215; no. 7; pp. 2528 - 2533
Main Author Zhou, Guangming
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier Inc 01.12.2009
Elsevier
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ISSN0096-3003
1873-5649
DOI10.1016/j.amc.2009.08.058

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Abstract In this paper, a new descent algorithm for solving unconstrained optimization problem is presented. Its search direction is descent and line search procedure can be avoided except for the first iteration. It is globally convergent under mild conditions. The search direction of the new algorithm is generalized and convergence of corresponding algorithm is also proved. Numerical results show that the algorithm is efficient for given test problems.
AbstractList In this paper, a new descent algorithm for solving unconstrained optimization problem is presented. Its search direction is descent and line search procedure can be avoided except for the first iteration. It is globally convergent under mild conditions. The search direction of the new algorithm is generalized and convergence of corresponding algorithm is also proved. Numerical results show that the algorithm is efficient for given test problems.
Author Zhou, Guangming
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Issue 7
Keywords Line search
Unconstrained optimization
Numerical result
Descent method
Convergence
Numerical analysis
Applied mathematics
Optimization method
Problem solving
Iteration
Search algorithm
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Snippet In this paper, a new descent algorithm for solving unconstrained optimization problem is presented. Its search direction is descent and line search procedure...
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StartPage 2528
SubjectTerms Convergence
Descent method
Exact sciences and technology
Line search
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Numerical result
Sciences and techniques of general use
Unconstrained optimization
Title A descent algorithm without line search for unconstrained optimization
URI https://dx.doi.org/10.1016/j.amc.2009.08.058
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