Optimal Quadratic Programming and QCQP Algorithms with Applications

This book presents cutting-edge algorithms for solving large-scale quadratic programming (QP) and/or QPSQP. While applying these algorithms to the class of QP problems with the spectrum confined to a positive interval, the theory guarantees finding the prescribed precision solution through a uniform...

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書目詳細資料
主要作者:	Dostál, Zdeněk (Author)
企業作者:	SpringerLink (Online service)
格式:	電子電子書
語言:	英语
出版:	Cham : Springer Nature Switzerland : Imprint: Springer, 2025.
版:	2nd ed. 2025.
叢編:	Springer Optimization and Its Applications, 23
主題:	Mathematical optimization. Calculus of variations. Operations research. Management science. Engineering mathematics. Engineering > Data processing. Numerical analysis. Calculus of Variations and Optimization. Operations Research, Management Science. Mathematical and Computational Engineering Applications. Numerical Analysis.
在線閱讀:	https://doi.org/10.1007/978-3-031-95167-1
標簽:	添加標簽沒有標簽, 成為第一個標記此記錄!

書本目錄:

Preface
Part I Background
Chapter 1 Linear Algebra
Chapter 2 Optimization
Part II Basic Algorithms
Chapter 3 Gradient Methods
Chapter 4 Conjugate Gradients as Direct Method
Chapter 5 Gradient Projection
Chapter 6 From Penalty to Exact Augmented Lagrangians
Chapter 7 Active Sets with Finite Termination
Part III Optimal Algorithms
Chapter 8 Conjugate Gradients as Iterative Method
Chapter 9 SMALE for Equality Constraints
Chapter 10 MPRGP for Bound Constraints
Chapter 11 MPGP and PBBF for Separable QCQP
Chapter 12 Solvers for Separable and Equality QP/QCQP Problems
Part IV Case Studies
Chapter 13 Elliptic Variational Inequalities
Chapter 14 Contact Problem with Friction
Chapter 15 Model Predictive Control
Chapter 16 Support Vector Machines
Chapter 17 PERMON and ESPRESO Software
References.

Optimal Quadratic Programming and QCQP Algorithms with Applications

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