Conjugate Gradient Methods Courses and Certifications

International Mathematical Union

New Trends in Nonlinear Optimization

Explore new trends in nonlinear optimization, including gradient methods, quasi-Newton techniques, and approaches for constrained problems, with a focus on recent developments and efficient algorithms.

• YouTube
• 46 minutes
• On-Demand
• Free Video

Mathematical Methods for Engineers II

Explore advanced numerical methods for engineers, covering differential equations, network flows, and optimization. Gain practical skills in solving complex mathematical problems.

• MIT OpenCourseWare
• On-Demand
• Free Online Course

Modern Optimization Methods

Master numerical optimization techniques, from fundamental theories to advanced algorithms, covering unconstrained and constrained problems, semismooth Newton's method, and practical applications in hypergraph matching and SVM.

• XuetangX
• On-Demand
• Free Online Course

Society for Industrial and Applied Mathematics

Bayesian Reimaging of Sparsity in Inverse Problems - IMAGINE Seminar Series

Explore Bayesian approaches to sparse inverse problems in imaging and dictionary learning, focusing on efficient computational frameworks and hierarchical prior models.

• YouTube
• 1 hour 15 minutes
• On-Demand
• Free Video

NHR@FAU

High-Performance Implementations for High-Order Finite-Element Discretizations of PDEs

Explore matrix-free finite-element algorithms for solving PDEs, focusing on high-performance implementations and recent developments in performance engineering for complex geometries.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

NPTEL-NOC IITM

Non Linear Conjugate Gradient Method

Explore the Non Linear Conjugate Gradient method, including Fletcher Reeves and Polak-Ribiere methods, with an introduction to the Newton method.

• YouTube
• 35 minutes
• On-Demand
• Free Video

NPTEL-NOC IITM

Orthogonality and Conjugacy

Explore orthogonality and conjugacy concepts in gradient methods, focusing on quadratic form visualization, conjugate directions, and their mathematical relationships.

• YouTube
• 12 minutes
• On-Demand
• Free Video

Simons Institute

Instance Optimal Iterative Methods for Matrix Function Approximation

Explores instance-optimality of Lanczos method for matrix function approximation, extending conjugate gradient analysis to rational and other function classes. Discusses recent progress and open questions.

• YouTube
• 32 minutes
• On-Demand
• Free Video

现代优化方法（英）

Master advanced optimization theory and algorithms, from unconstrained to constrained optimization, including semismooth Newton's method and practical applications in research problems with hands-on case studies.

• XuetangX
• On-Demand
• Free Online Course

数据科学优化方法

"解锁数据潜力，掌握优化之道！加入我们的MOOC课程'数据科学优化方法'，一起探索数据背后的秘密，用优化算法驱动决策升级，开启你的数据分析与优化大师之旅！"

• XuetangX
• On-Demand
• Free Online Course

最优化方法

Dive into optimization methods through practical cases, mastering fundamental theories and efficient algorithms like Newton's method, conjugate gradient method, and penalty function methods for real-world problem-solving.

• XuetangX
• On-Demand
• Free Online Course

最优化理论与算法

掌握优化理论核心概念和算法，从无约束优化到约束优化，通过数值实验和编程培养数学建模与数据分析能力，着重学习各类经典优化算法的应用。

• XuetangX
• On-Demand
• Free Online Course

最优化方法

Discover mathematical optimization methods including convex analysis, KKT conditions, gradient descent, Newton methods, constrained optimization algorithms, and genetic algorithms with MATLAB.

• XuetangX
• On-Demand
• Free Online Course

大规模矩阵计算

开启矩阵计算之门，驾驭高维数据挑战，引领科研工业新潮

• XuetangX
• On-Demand
• Free Online Course

优化理论与方法

本课程通过介绍优化设计的基本概念理论和各种常用优化算法及其应用方法，为培养学生运用现代设计方法解决复杂工程设计问题打下必要的基础。

• XuetangX
• On-Demand
• Free Online Course