Zdeněk Dostál is a professor at the Department of Applied Mathematics and Senior Researcher at IT4Innovations National Supercomputing Center, VŠB-Technical University of Ostrava. Zdeněk works in Numerical Linear Algebra, Optimization, and Computational Mechanics. He published his results in more than 120 papers (Scopus). He is an author of the book ‘Optimal Quadratic Programming Algorithms’ (Springer 2009) and coauthor of ‘Scalable Algorithms for Contact Problems’ (Springer 2017) on massively parallel algorithms with theoretically supported linear (optimal) complexity. His current research concerns QP, QCQP, and generalization of the above results to H-TFETI and H-TBETI.
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Optimal Quadratic Programming and QCQP Algorithms with Applications
Zdeněk Dostál
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...
