This repository contains my project for ECE505, which explores various algorithms for unconstrained optimization and demonstrates their implementation. Through this project, I experimented with ...

Conjugate gradient methods form a class of iterative algorithms that are highly effective for solving large‐scale unconstrained optimisation problems. They achieve efficiency by constructing search ...

Three PRP-type direct search methods for unconstrained optimization are presented. The methods adopt three kinds of recently developed descent conjugate gradient methods and the idea of frame-based ...

The Hessians are computed similarly. Since all three benchmark problems have band matrices, only a few symbolic derivatives are required (maximum of 10 per problem) to derive general expressions for ...

This is a preview. Log in through your library . Abstract Under what circumstances can finite difference approximations serve as substitutes for analytical derivatives in unconstrained optimization?

Higher Order unconstrained Binary Optimization(HOBO)の計算困難性を考えてみました。結論として、HOBOはFP^NP完全問題です。 FP^NPは、SAT問題(論理式の充足可能性を判定する問題)を解くオラクルに問い合わせできる計算機で多項式時間で解ける関数問題の集合です。

Abstract: For the conjugate gradient method to solve the unconstrained optimization problem, given a new interval method to obtain the direction parameters, and a new conjugate gradient algorithm is ...

This course introduces high-performance computing (“HPC”) systems, software, and methods used to solve large-scale problems in science and engineering. It will focus on the intersection of two ...