2022Journal of Information and Optimization SciencesRequires access

Some new conjugate gradient methods for solving unconstrained optimization problems

Basim A. Hassan, Zeyad M. Abdullah, Saif A. Hussein

Open publisher page 1 citations

Abstract

Conjugate gradient algorithms come in a wide range of flavors. Conjugate gradient techniques primarily concentrate on the coefficient conjugate. We introduce a novel conjugate gradient approach that computes the parameter by using Newton updates. In addition, we have demonstrated that our conjugate gradient algorithms are globally convergent and descent property. For the specified test issues in [1] the performance profiles revealed that the novel conjugate gradient approach is effective and efficient.

About this research paper

What this paper is about

Conjugate gradient algorithms come in a wide range of flavors. Conjugate gradient techniques primarily concentrate on the coefficient conjugate. We introduce a novel conjugate gradient approach that computes the parameter by using Newton updates. In addition, we have demonstrated that our conjugate gradient algorithms are globally convergent and descent property. For the specified test issues in [1] the performance profiles revealed that the novel conjugate gradient approach is effective and efficient.

Why it matters

OpenAlex reports 1 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Conjugate gradient algorithms come in a wide range of flavors. Conjugate gradient techniques primarily concentrate on the coefficient conjugate. We introduce a novel conjugate gradient approach that computes the parameter by using Newton updates. In addition, we have demonstrated that our conjugate gradient algorithms are globally convergent and descent property. For the specified test issues in [1] the performance profiles revealed that the novel conjugate gradient approach is effective and efficient.

Key concepts: Conjugate gradient method, Conjugate, Conjugate residual method, Derivation of the conjugate gradient method, Nonlinear conjugate gradient method, Gradient descent, Biconjugate gradient method, Gradient method

Related papers

Back to paper searchBrowse research topicsOriginal source
Some new conjugate gradient methods for solving unconstrained optimization problems — Research Paper | ScholarLens