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TR global convergence (end) + CG
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Optimization Methods: Theory Discussion
Explores optimization methods, including unconstrained problems, linear programming, and heuristic approaches.
Quasi-Newton Methods
Introduces Quasi-Newton methods for optimization, explaining their advantages over traditional approaches like Gradient Descent and Newton's Method.
Convergence Analysis: Iterative Methods
Covers the convergence analysis of iterative methods and the conditions for convergence.
Convex Optimization: Gradient Algorithms
Covers convex optimization problems and gradient-based algorithms to find the global minimum.
Conjugate Gradient Method: Iterative Optimization
Covers the conjugate gradient method, stopping criteria, and convergence properties in iterative optimization.
Newton's Method: Optimization & Indefiniteness
Covers Newton's Method for optimization and discusses the caveats of indefiniteness in optimization problems.
Linear Systems: Convergence and Methods
Explores linear systems, convergence, and solving methods with a focus on CPU time and memory requirements.
Linear Systems: Iterative Methods
Explores linear systems and iterative methods like gradient descent and conjugate gradient for efficient solutions.
Optimization Techniques: Gradient Method Overview
Discusses the gradient method for optimization, focusing on its application in machine learning and the conditions for convergence.
Primal-dual Optimization: Extra-Gradient Method
Explores the Extra-Gradient method for Primal-dual optimization, covering nonconvex-concave problems, convergence rates, and practical performance.