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Author: Dimitri P. Bertsekas Publisher: Academic Press ISBN: 148326047X Category : Mathematics Languages : en Pages : 412
Book Description
Computer Science and Applied Mathematics: Constrained Optimization and Lagrange Multiplier Methods focuses on the advancements in the applications of the Lagrange multiplier methods for constrained minimization. The publication first offers information on the method of multipliers for equality constrained problems and the method of multipliers for inequality constrained and nondifferentiable optimization problems. Discussions focus on approximation procedures for nondifferentiable and ill-conditioned optimization problems; asymptotically exact minimization in the methods of multipliers; duality framework for the method of multipliers; and the quadratic penalty function method. The text then examines exact penalty methods, including nondifferentiable exact penalty functions; linearization algorithms based on nondifferentiable exact penalty functions; differentiable exact penalty functions; and local and global convergence of Lagrangian methods. The book ponders on the nonquadratic penalty functions of convex programming. Topics include large scale separable integer programming problems and the exponential method of multipliers; classes of penalty functions and corresponding methods of multipliers; and convergence analysis of multiplier methods. The text is a valuable reference for mathematicians and researchers interested in the Lagrange multiplier methods.
Author: Dimitri P. Bertsekas Publisher: Academic Press ISBN: 148326047X Category : Mathematics Languages : en Pages : 412
Book Description
Computer Science and Applied Mathematics: Constrained Optimization and Lagrange Multiplier Methods focuses on the advancements in the applications of the Lagrange multiplier methods for constrained minimization. The publication first offers information on the method of multipliers for equality constrained problems and the method of multipliers for inequality constrained and nondifferentiable optimization problems. Discussions focus on approximation procedures for nondifferentiable and ill-conditioned optimization problems; asymptotically exact minimization in the methods of multipliers; duality framework for the method of multipliers; and the quadratic penalty function method. The text then examines exact penalty methods, including nondifferentiable exact penalty functions; linearization algorithms based on nondifferentiable exact penalty functions; differentiable exact penalty functions; and local and global convergence of Lagrangian methods. The book ponders on the nonquadratic penalty functions of convex programming. Topics include large scale separable integer programming problems and the exponential method of multipliers; classes of penalty functions and corresponding methods of multipliers; and convergence analysis of multiplier methods. The text is a valuable reference for mathematicians and researchers interested in the Lagrange multiplier methods.
Author: A. B. Chaudhuri Publisher: Mercury Learning and Information ISBN: 168392536X Category : Computers Languages : en Pages : 236
Book Description
This book is designed to equip the reader with all of the best followed, efficient, well-structured program logics in the form of flowcharts and algorithms. The basic purpose of flowcharting is to create the sequence of steps for showing the solution to problems through arithmetic and/or logical manipulations used to instruct computers. The applied and illustrative examples from different subject areas will definitely encourage readers to learn the logic leading to solid programming basics. Features: Uses flowcharts and algorithms to solve problems from everyday applications, teaching the logic needed for the creation of computer instructions Covers arrays, looping, file processing, etc.
Author: D. W. Faulkner Publisher: IOS Press ISBN: 9789051992755 Category : Computers Languages : en Pages : 360
Book Description
Broadband services, which depend on state-of-the-art technology, are expected to drive investment in broadband fibre optic networks. A fibre superhighway is confidently predicted within the next 10 years. This text explores the impact of emerging broadband services and technology on fibre systems design and deployment of the superhighway.
Author: Gene Golub Publisher: Springer Science & Business Media ISBN: 1461393531 Category : Mathematics Languages : en Pages : 234
Book Description
This IMA Volume in Mathematics and its Applications RECENT ADVANCES IN ITERATIVE METHODS is based on the proceedings of a workshop that was an integral part of the 1991-92 IMA program on "Applied Linear Algebra. " Large systems of matrix equations arise frequently in applications and they have the prop erty that they are sparse and/or structured. The purpose of this workshop was to bring together researchers in numerical analysis and various ap plication areas to discuss where such problems arise and possible meth ods of solution. The last two days of the meeting were a celebration dedicated to Gene Golub on the occasion of his sixtieth birthday, with the program arranged by Jack Dongarra and Paul van Dooren. We are grateful to Richard Brualdi, George Cybenko, Alan George, Gene Golub, Mitchell Luskin, and Paul Van Dooren for planning and implementing the year-long program. We especially thank Gene Golub, Anne Greenbaum, and Mitchell Luskin for organizing this workshop and editing the proceed ings. The financial support of the National Science Foundation and the Min nesota Supercomputer Institute made the workshop possible. A vner Friedman Willard Miller, Jr. xi PREFACE The solution of very large linear algebra problems is an integral part of many scientific computations.
Author: Stephen W. Raudenbush Publisher: Scientific Software International ISBN: 9780894980541 Category : HLM (Computer program) Languages : en Pages : 324
Author: Oliver Kühn Publisher: Springer Science & Business Media ISBN: 3540680373 Category : Science Languages : en Pages : 855
Book Description
This book summarizes several years of research carried out by a collaboration of many groups on ultrafast photochemical reactions. It emphasizes the analysis and characterization of the nuclear dynamics within molecular systems in various environments induced by optical excitations and the study of the resulting molecular dynamics by further interaction with an optical field.
Author: Hojjat Adeli Publisher: CRC Press ISBN: 1000147894 Category : Technology & Engineering Languages : en Pages : 384
Book Description
The first volume in this new series has a companion in volume 2 (unseen), Parallel processing in computational mechanics . The first six contributions present general aspects of supercomputing from both hardware and software engineering points of view. Subsequent chapters discuss homotopy algorithms
Author: Dimitri P. Bertsekas
Author: Dimitri P. Bertsekas
Author: C. T. Kelley
Author: R. E. Burns
Author: A. B. Chaudhuri
Author: D. W. Faulkner
Author: Gene Golub
Author: Stephen W. Raudenbush
Author: Braxtel L. Neely
Author: Oliver Kühn
Author: Hojjat Adeli