Preconditioning A Product Of Matrices Arising In Trust Region Subproblems

Download Preconditioning A Product Of Matrices Arising In Trust Region Subproblems full books in PDF, epub, and Kindle. Read online Preconditioning A Product Of Matrices Arising In Trust Region Subproblems ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Preconditioning a Product of Matrices Arising in Trust Region Subproblems

Author :
Publisher :
ISBN 13 :
Total Pages : 23 pages
Book Rating : 4.:/5 (683 download)

DOWNLOAD NOW!

Book Synopsis Preconditioning a Product of Matrices Arising in Trust Region Subproblems by :

Download or read book Preconditioning a Product of Matrices Arising in Trust Region Subproblems written by and published by . This book was released on 1996 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt: In solving large scale optimization problems, we find it advantageous to use iterative methods to solve the sparse linear systems that arise. In the ETR software for solving equality constrained optimization problems, we use a conjugate gradient method to approximately solve the trust region subproblems. To speed up the convergence of the conjugate gradient routine, we need to precondition matrices of the form Z{sup T} W Z, which are not explicitly stored. Four preconditioners were implemented and the results for each are given.

Government Reports Announcements & Index

Author :
Publisher :
ISBN 13 :
Total Pages : 1416 pages
Book Rating : 4.E/5 ( download)

DOWNLOAD NOW!

Book Synopsis Government Reports Announcements & Index by :

Download or read book Government Reports Announcements & Index written by and published by . This book was released on 1996-10 with total page 1416 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Large-Scale Nonlinear Optimization

Author : Gianni Pillo
Publisher : Springer Science & Business Media
ISBN 13 : 0387300651
Total Pages : 297 pages
Book Rating : 4.3/5 (873 download)

DOWNLOAD NOW!

Book Synopsis Large-Scale Nonlinear Optimization by : Gianni Pillo

Download or read book Large-Scale Nonlinear Optimization written by Gianni Pillo and published by Springer Science & Business Media. This book was released on 2006-06-03 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reviews and discusses recent advances in the development of methods and algorithms for nonlinear optimization and its applications, focusing on the large-dimensional case, the current forefront of much research. Individual chapters, contributed by eminent authorities, provide an up-to-date overview of the field from different and complementary standpoints, including theoretical analysis, algorithmic development, implementation issues and applications.

Interior-point Methods for Large-scale Nonconvex Optimization

Author : Joshua David Griffin
Publisher :
ISBN 13 :
Total Pages : 310 pages
Book Rating : 4.:/5 (318 download)

DOWNLOAD NOW!

Book Synopsis Interior-point Methods for Large-scale Nonconvex Optimization by : Joshua David Griffin

Download or read book Interior-point Methods for Large-scale Nonconvex Optimization written by Joshua David Griffin and published by . This book was released on 2005 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt:

SIAM Journal on Scientific Computing

Author :
Publisher :
ISBN 13 :
Total Pages : 780 pages
Book Rating : 4.3/5 (91 download)

DOWNLOAD NOW!

Book Synopsis SIAM Journal on Scientific Computing by :

Download or read book SIAM Journal on Scientific Computing written by and published by . This book was released on 2002 with total page 780 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Riemannian Optimization and Its Applications

Author : Hiroyuki Sato
Publisher : Springer Nature
ISBN 13 : 3030623912
Total Pages : 129 pages
Book Rating : 4.0/5 (36 download)

DOWNLOAD NOW!

Book Synopsis Riemannian Optimization and Its Applications by : Hiroyuki Sato

Download or read book Riemannian Optimization and Its Applications written by Hiroyuki Sato and published by Springer Nature. This book was released on 2021-02-17 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: This brief describes the basics of Riemannian optimization—optimization on Riemannian manifolds—introduces algorithms for Riemannian optimization problems, discusses the theoretical properties of these algorithms, and suggests possible applications of Riemannian optimization to problems in other fields. To provide the reader with a smooth introduction to Riemannian optimization, brief reviews of mathematical optimization in Euclidean spaces and Riemannian geometry are included. Riemannian optimization is then introduced by merging these concepts. In particular, the Euclidean and Riemannian conjugate gradient methods are discussed in detail. A brief review of recent developments in Riemannian optimization is also provided. Riemannian optimization methods are applicable to many problems in various fields. This brief discusses some important applications including the eigenvalue and singular value decompositions in numerical linear algebra, optimal model reduction in control engineering, and canonical correlation analysis in statistics.

Modeling, Simulation and Optimization of Complex Processes HPSC 2015

Author : Hans Georg Bock
Publisher : Springer
ISBN 13 : 3319671685
Total Pages : 289 pages
Book Rating : 4.3/5 (196 download)

DOWNLOAD NOW!

Book Synopsis Modeling, Simulation and Optimization of Complex Processes HPSC 2015 by : Hans Georg Bock

Download or read book Modeling, Simulation and Optimization of Complex Processes HPSC 2015 written by Hans Georg Bock and published by Springer. This book was released on 2017-11-16 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume highlights a selection of papers presented at the Sixth International Conference on High Performance Scientific Computing, which took place in Hanoi, Vietnam on March 16-20, 2015. The conference was jointly organized by the Heidelberg Institute of Theoretical Studies (HITS), the Institute of Mathematics of the Vietnam Academy of Science and Technology (VAST), the Interdisciplinary Center for Scientific Computing (IWR) at Heidelberg University, and the Vietnam Institute for Advanced Study in Mathematics, Ministry of Education The contributions cover a broad, interdisciplinary spectrum of scientific computing and showcase recent advances in theory, methods, and practical applications. Subjects covered numerical simulation, methods for optimization and control, parallel computing, and software development, as well as the applications of scientific computing in physics, mechanics, biomechanics and robotics, material science, hydrology, biotechnology, medicine, transport, scheduling, and industry.

Numerical Optimization

Author : Jorge Nocedal
Publisher : Springer Science & Business Media
ISBN 13 : 0387400656
Total Pages : 686 pages
Book Rating : 4.3/5 (874 download)

DOWNLOAD NOW!

Book Synopsis Numerical Optimization by : Jorge Nocedal

Download or read book Numerical Optimization written by Jorge Nocedal and published by Springer Science & Business Media. This book was released on 2006-12-11 with total page 686 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimization is an important tool used in decision science and for the analysis of physical systems used in engineering. One can trace its roots to the Calculus of Variations and the work of Euler and Lagrange. This natural and reasonable approach to mathematical programming covers numerical methods for finite-dimensional optimization problems. It begins with very simple ideas progressing through more complicated concepts, concentrating on methods for both unconstrained and constrained optimization.

Numerical Algorithms

Author : Justin Solomon
Publisher : CRC Press
ISBN 13 : 1482251892
Total Pages : 400 pages
Book Rating : 4.4/5 (822 download)

DOWNLOAD NOW!

Book Synopsis Numerical Algorithms by : Justin Solomon

Download or read book Numerical Algorithms written by Justin Solomon and published by CRC Press. This book was released on 2015-06-24 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Algorithms: Methods for Computer Vision, Machine Learning, and Graphics presents a new approach to numerical analysis for modern computer scientists. Using examples from a broad base of computational tasks, including data processing, computational photography, and animation, the textbook introduces numerical modeling and algorithmic desig

Optimization Algorithms on Matrix Manifolds

Author : P.-A. Absil
Publisher : Princeton University Press
ISBN 13 : 1400830249
Total Pages : 240 pages
Book Rating : 4.4/5 (8 download)

DOWNLOAD NOW!

Book Synopsis Optimization Algorithms on Matrix Manifolds by : P.-A. Absil

Download or read book Optimization Algorithms on Matrix Manifolds written by P.-A. Absil and published by Princeton University Press. This book was released on 2009-04-11 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many problems in the sciences and engineering can be rephrased as optimization problems on matrix search spaces endowed with a so-called manifold structure. This book shows how to exploit the special structure of such problems to develop efficient numerical algorithms. It places careful emphasis on both the numerical formulation of the algorithm and its differential geometric abstraction--illustrating how good algorithms draw equally from the insights of differential geometry, optimization, and numerical analysis. Two more theoretical chapters provide readers with the background in differential geometry necessary to algorithmic development. In the other chapters, several well-known optimization methods such as steepest descent and conjugate gradients are generalized to abstract manifolds. The book provides a generic development of each of these methods, building upon the material of the geometric chapters. It then guides readers through the calculations that turn these geometrically formulated methods into concrete numerical algorithms. The state-of-the-art algorithms given as examples are competitive with the best existing algorithms for a selection of eigenspace problems in numerical linear algebra. Optimization Algorithms on Matrix Manifolds offers techniques with broad applications in linear algebra, signal processing, data mining, computer vision, and statistical analysis. It can serve as a graduate-level textbook and will be of interest to applied mathematicians, engineers, and computer scientists.

Iterative Krylov Methods for Large Linear Systems

Author : H. A. van der Vorst
Publisher : Cambridge University Press
ISBN 13 : 9780521818285
Total Pages : 242 pages
Book Rating : 4.8/5 (182 download)

DOWNLOAD NOW!

Book Synopsis Iterative Krylov Methods for Large Linear Systems by : H. A. van der Vorst

Download or read book Iterative Krylov Methods for Large Linear Systems written by H. A. van der Vorst and published by Cambridge University Press. This book was released on 2003-04-17 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Table of contents

Engineering Design Optimization

Author : Joaquim R. R. A. Martins
Publisher : Cambridge University Press
ISBN 13 : 110898861X
Total Pages : 653 pages
Book Rating : 4.1/5 (89 download)

DOWNLOAD NOW!

Book Synopsis Engineering Design Optimization by : Joaquim R. R. A. Martins

Download or read book Engineering Design Optimization written by Joaquim R. R. A. Martins and published by Cambridge University Press. This book was released on 2021-11-18 with total page 653 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on course-tested material, this rigorous yet accessible graduate textbook covers both fundamental and advanced optimization theory and algorithms. It covers a wide range of numerical methods and topics, including both gradient-based and gradient-free algorithms, multidisciplinary design optimization, and uncertainty, with instruction on how to determine which algorithm should be used for a given application. It also provides an overview of models and how to prepare them for use with numerical optimization, including derivative computation. Over 400 high-quality visualizations and numerous examples facilitate understanding of the theory, and practical tips address common issues encountered in practical engineering design optimization and how to address them. Numerous end-of-chapter homework problems, progressing in difficulty, help put knowledge into practice. Accompanied online by a solutions manual for instructors and source code for problems, this is ideal for a one- or two-semester graduate course on optimization in aerospace, civil, mechanical, electrical, and chemical engineering departments.

Practical Optimization

Author : Philip E. Gill
Publisher : SIAM
ISBN 13 : 1611975603
Total Pages : 421 pages
Book Rating : 4.6/5 (119 download)

DOWNLOAD NOW!

Book Synopsis Practical Optimization by : Philip E. Gill

Download or read book Practical Optimization written by Philip E. Gill and published by SIAM. This book was released on 2019-12-16 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the intervening years since this book was published in 1981, the field of optimization has been exceptionally lively. This fertility has involved not only progress in theory, but also faster numerical algorithms and extensions into unexpected or previously unknown areas such as semidefinite programming. Despite these changes, many of the important principles and much of the intuition can be found in this Classics version of Practical Optimization. This book provides model algorithms and pseudocode, useful tools for users who prefer to write their own code as well as for those who want to understand externally provided code. It presents algorithms in a step-by-step format, revealing the overall structure of the underlying procedures and thereby allowing a high-level perspective on the fundamental differences. And it contains a wealth of techniques and strategies that are well suited for optimization in the twenty-first century, and particularly in the now-flourishing fields of data science, “big data,” and machine learning. Practical Optimization is appropriate for advanced undergraduates, graduate students, and researchers interested in methods for solving optimization problems.

Mathematical Theory of Optimization

Author : Ding-Zhu Du
Publisher : Springer Science & Business Media
ISBN 13 : 1475757956
Total Pages : 277 pages
Book Rating : 4.4/5 (757 download)

DOWNLOAD NOW!

Book Synopsis Mathematical Theory of Optimization by : Ding-Zhu Du

Download or read book Mathematical Theory of Optimization written by Ding-Zhu Du and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the mathematical theory of optimization. It emphasizes the convergence theory of nonlinear optimization algorithms and applications of nonlinear optimization to combinatorial optimization. Mathematical Theory of Optimization includes recent developments in global convergence, the Powell conjecture, semidefinite programming, and relaxation techniques for designs of approximation solutions of combinatorial optimization problems.

Trust Region Methods

Author : A. R. Conn
Publisher : SIAM
ISBN 13 : 0898714605
Total Pages : 960 pages
Book Rating : 4.8/5 (987 download)

DOWNLOAD NOW!

Book Synopsis Trust Region Methods by : A. R. Conn

Download or read book Trust Region Methods written by A. R. Conn and published by SIAM. This book was released on 2000-01-01 with total page 960 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- General.

Frontiers in PDE-Constrained Optimization

Author : Harbir Antil
Publisher : Springer
ISBN 13 : 1493986368
Total Pages : 434 pages
Book Rating : 4.4/5 (939 download)

DOWNLOAD NOW!

Book Synopsis Frontiers in PDE-Constrained Optimization by : Harbir Antil

Download or read book Frontiers in PDE-Constrained Optimization written by Harbir Antil and published by Springer. This book was released on 2018-10-12 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a broad and uniform introduction of PDE-constrained optimization as well as to document a number of interesting and challenging applications. Many science and engineering applications necessitate the solution of optimization problems constrained by physical laws that are described by systems of partial differential equations (PDEs). As a result, PDE-constrained optimization problems arise in a variety of disciplines including geophysics, earth and climate science, material science, chemical and mechanical engineering, medical imaging and physics. This volume is divided into two parts. The first part provides a comprehensive treatment of PDE-constrained optimization including discussions of problems constrained by PDEs with uncertain inputs and problems constrained by variational inequalities. Special emphasis is placed on algorithm development and numerical computation. In addition, a comprehensive treatment of inverse problems arising in the oil and gas industry is provided. The second part of this volume focuses on the application of PDE-constrained optimization, including problems in optimal control, optimal design, and inverse problems, among other topics.

Chebyshev and Fourier Spectral Methods

Author : John P. Boyd
Publisher : Courier Corporation
ISBN 13 : 0486411834
Total Pages : 690 pages
Book Rating : 4.4/5 (864 download)

DOWNLOAD NOW!

Book Synopsis Chebyshev and Fourier Spectral Methods by : John P. Boyd

Download or read book Chebyshev and Fourier Spectral Methods written by John P. Boyd and published by Courier Corporation. This book was released on 2001-12-03 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt: Completely revised text focuses on use of spectral methods to solve boundary value, eigenvalue, and time-dependent problems, but also covers Hermite, Laguerre, rational Chebyshev, sinc, and spherical harmonic functions, as well as cardinal functions, linear eigenvalue problems, matrix-solving methods, coordinate transformations, methods for unbounded intervals, spherical and cylindrical geometry, and much more. 7 Appendices. Glossary. Bibliography. Index. Over 160 text figures.