Multivariate Algorithms and Information-Based Complexity

Multivariate Algorithms and Information-Based Complexity
Author: Fred J. Hickernell
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 200
Release: 2020-06-08
Genre: Mathematics
ISBN: 3110633159

The contributions by leading experts in this book focus on a variety of topics of current interest related to information-based complexity, ranging from function approximation, numerical integration, numerical methods for the sphere, and algorithms with random information, to Bayesian probabilistic numerical methods and numerical methods for stochastic differential equations.

Multivariate Algorithms and Information-Based Complexity

Multivariate Algorithms and Information-Based Complexity
Author: Fred J. Hickernell
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 158
Release: 2020-06-08
Genre: Mathematics
ISBN: 3110635461

The contributions by leading experts in this book focus on a variety of topics of current interest related to information-based complexity, ranging from function approximation, numerical integration, numerical methods for the sphere, and algorithms with random information, to Bayesian probabilistic numerical methods and numerical methods for stochastic differential equations.

Computational Complexity

Computational Complexity
Author: Sanjeev Arora
Publisher: Cambridge University Press
Total Pages: 609
Release: 2009-04-20
Genre: Computers
ISBN: 0521424267

New and classical results in computational complexity, including interactive proofs, PCP, derandomization, and quantum computation. Ideal for graduate students.

Algorithms

Algorithms
Author: Sushil C. Dimri
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 178
Release: 2021-03-08
Genre: Computers
ISBN: 3110693607

Algorithms play a central role both in the theory and in the practice of computing. The goal of the authors was to write a textbook that would not trivialize the subject but would still be readable by most students on their own. The book contains over 120 exercises. Some of them are drills; others make important points about the material covered in the text or introduce new algorithms not covered there. The book also provides programming projects. From the Table of Contents: Chapter 1: Basic knowledge of Mathematics, Relations, Recurrence relation and Solution techniques, Function and Growth of functions. Chapter 2: Different Sorting Techniques and their analysis. Chapter 3: Greedy approach, Dynamic Programming, Brach and Bound techniques, Backtracking and Problems, Amortized analysis, and Order Statics. Chapter 4: Graph algorithms, BFS, DFS, Spanning Tree, Flow Maximization Algorithms. Shortest Path Algorithms. Chapter 5: Binary search tree, Red black Tree, Binomial heap, B-Tree and Fibonacci Heap. Chapter 6: Approximation Algorithms, Sorting Networks, Matrix operations, Fast Fourier Transformation, Number theoretic Algorithm, Computational geometry Randomized Algorithms, String matching, NP-Hard, NP-Completeness, Cooks theorem.

Essays on the Complexity of Continuous Problems

Essays on the Complexity of Continuous Problems
Author: Erich Novak
Publisher: European Mathematical Society
Total Pages: 112
Release: 2009
Genre: Computational complexity
ISBN: 9783037190692

This book contains five essays on the complexity of continuous problems, written for a wider audience. The first four essays are based on talks presented in 2008 when Henryk Wozniakowski received an honorary doctoral degree from the Friedrich Schiller University of Jena. The focus is on the introduction and history of the complexity of continuous problems, as well as on recent progress concerning the complexity of high-dimensional numerical problems. The last essay provides a brief and informal introduction to the basic notions and concepts of information-based complexity addressed to a general readership.

Complexity and Information

Complexity and Information
Author: J. F. Traub
Publisher: Cambridge University Press
Total Pages: 152
Release: 1998-12-10
Genre: Computers
ISBN: 9780521485067

The twin themes of computational complexity and information pervade this 1998 book. It starts with an introduction to the computational complexity of continuous mathematical models, that is, information-based complexity. This is then used to illustrate a variety of topics, including breaking the curse of dimensionality, complexity of path integration, solvability of ill-posed problems, the value of information in computation, assigning values to mathematical hypotheses, and new, improved methods for mathematical finance. The style is informal, and the goals are exposition, insight and motivation. A comprehensive bibliography is provided, to which readers are referred for precise statements of results and their proofs. As the first introductory book on the subject it will be invaluable as a guide to the area for the many students and researchers whose disciplines, ranging from physics to finance, are influenced by the computational complexity of continuous problems.

Information-based Complexity

Information-based Complexity
Author: Joseph Frederick Traub
Publisher:
Total Pages: 552
Release: 1988
Genre: Computers
ISBN:

This book provides a comprehensive treatment of information-based complexity, the branch of computational complexity that deals with the intrinsic difficulty of the approximate solution of problems for which the information is partial, noisy, and priced. Such problems arise in many areas including economics, physics, human and robotic vision, scientific and engineering computation, geophysics, decision theory, signal processing and control theory.

Algorithms - ESA 2010

Algorithms - ESA 2010
Author: Mark de Berg
Publisher: Springer Science & Business Media
Total Pages: 603
Release: 2010-08-30
Genre: Computers
ISBN: 3642157742

This book constitutes the proceedings of the 18th Annual European Symposium on Algorithms, held in Liverpool, UK in September 2010.

Monte Carlo and Quasi-Monte Carlo Methods 2006

Monte Carlo and Quasi-Monte Carlo Methods 2006
Author: Alexander Keller
Publisher: Springer Science & Business Media
Total Pages: 684
Release: 2007-12-30
Genre: Mathematics
ISBN: 3540744967

This book presents the refereed proceedings of the Seventh International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing, held in Ulm, Germany, in August 2006. The proceedings include carefully selected papers on many aspects of Monte Carlo and quasi-Monte Carlo methods and their applications. They also provide information on current research in these very active areas.

Encyclopaedia of Mathematics

Encyclopaedia of Mathematics
Author: Michiel Hazewinkel
Publisher: Springer Science & Business Media
Total Pages: 639
Release: 2012-12-06
Genre: Mathematics
ISBN: 9401512795

This is the second supplementary volume to Kluwer's highly acclaimed eleven-volume Encyclopaedia of Mathematics. This additional volume contains nearly 500 new entries written by experts and covers developments and topics not included in the previous volumes. These entries are arranged alphabetically throughout and a detailed index is included. This supplementary volume enhances the existing eleven volumes, and together these twelve volumes represent the most authoritative, comprehensive and up-to-date Encyclopaedia of Mathematics available.