A three-term conjugate gradient method with a new descent structure for unconstrained optimization and low-carbon supply chain optimization

Maulana Malik, Sulaiman Mohammed Ibrahim, Dian Lestari, Fevi Novkaniza, Sindy Devila, Fida Fathiyah Addini, Gladwin Gunawan, Hoda Bidkhori, Prabhujit Mohapatra, Prabhujit Mohapatra · 2026

Read A three-term conjugate gradient method with a new descent structure for unconstrained optimization and low-carbon supply chain optimization by Maulana Malik, Sulaiman Mohammed Ibrahim, Dian Lestari, Fevi Novkaniza, Sindy Devila, Fida Fathiyah Addini, Gladwin Gunawan, Hoda Bidkhori, Prabhujit Mohapatra, Prabhujit Mohapatra (2026) in the Tower of Babel, a free online library of public-domain works preserved in clean, searchable text. No sign-up. The full text is served as a plain-text file at a predictable URL, where text is present: https://antarctic-labs.com/tower-of-babel/pmc-13521400.txt.

Description

Maulana Malik and co-authors propose a faster flavor of the conjugate gradient method for smooth optimization problems. Their 2026 paper builds on two known three-term variants of the method, adding a new descent structure meant to improve speed and stability. Conjugate gradient methods are workhorses for large problems because they need little memory.

The authors prove the method always steps downhill and converges globally under a standard line search rule. Numerical tests on benchmark problems show it beating close relatives with similar designs. They then apply it to a low-carbon supply chain problem, where the goal is to cut emissions through better planning. The application shows the method's reach beyond test problems. Cleaner logistics and faster solvers meet in one contribution.

Catalog record

CREATORMaulana Malik, Sulaiman Mohammed Ibrahim, Dian Lestari, Fevi Novkaniza, Sindy Devila, Fida Fathiyah Addini, Gladwin Gunawan, Hoda Bidkhori, Prabhujit Mohapatra, Prabhujit Mohapatra
YEAR2026
COLLECTIONPAPERS
FORMATTXT
FILE SIZE59 KB
VERSION1.0
LICENSECC BY 4.0
RIGHTSCC BY
SOURCEEurope PMC

Source: https://europepmc.org/articles/PMC13521400

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