Author: Victor Pan
Publisher: Springer
ISBN:
Category : Mathematics
Languages : en
Pages : 232
Book Description
How to Multiply Matrices Faster
Author: Victor Pan
Publisher: Springer
ISBN:
Category : Mathematics
Languages : en
Pages : 232
Book Description
Publisher: Springer
ISBN:
Category : Mathematics
Languages : en
Pages : 232
Book Description
How to Multiply Matrices Faster
Author: Victor Pan
Publisher: Lecture Notes in Computer Science
ISBN:
Category : Computers
Languages : en
Pages : 228
Book Description
Publisher: Lecture Notes in Computer Science
ISBN:
Category : Computers
Languages : en
Pages : 228
Book Description
Algebraic Complexity Theory
Author: Peter Bürgisser
Publisher: Springer Science & Business Media
ISBN: 3662033380
Category : Mathematics
Languages : en
Pages : 630
Book Description
The algorithmic solution of problems has always been one of the major concerns of mathematics. For a long time such solutions were based on an intuitive notion of algorithm. It is only in this century that metamathematical problems have led to the intensive search for a precise and sufficiently general formalization of the notions of computability and algorithm. In the 1930s, a number of quite different concepts for this purpose were pro posed, such as Turing machines, WHILE-programs, recursive functions, Markov algorithms, and Thue systems. All these concepts turned out to be equivalent, a fact summarized in Church's thesis, which says that the resulting definitions form an adequate formalization of the intuitive notion of computability. This had and continues to have an enormous effect. First of all, with these notions it has been possible to prove that various problems are algorithmically unsolvable. Among of group these undecidable problems are the halting problem, the word problem theory, the Post correspondence problem, and Hilbert's tenth problem. Secondly, concepts like Turing machines and WHILE-programs had a strong influence on the development of the first computers and programming languages. In the era of digital computers, the question of finding efficient solutions to algorithmically solvable problems has become increasingly important. In addition, the fact that some problems can be solved very efficiently, while others seem to defy all attempts to find an efficient solution, has called for a deeper under standing of the intrinsic computational difficulty of problems.
Publisher: Springer Science & Business Media
ISBN: 3662033380
Category : Mathematics
Languages : en
Pages : 630
Book Description
The algorithmic solution of problems has always been one of the major concerns of mathematics. For a long time such solutions were based on an intuitive notion of algorithm. It is only in this century that metamathematical problems have led to the intensive search for a precise and sufficiently general formalization of the notions of computability and algorithm. In the 1930s, a number of quite different concepts for this purpose were pro posed, such as Turing machines, WHILE-programs, recursive functions, Markov algorithms, and Thue systems. All these concepts turned out to be equivalent, a fact summarized in Church's thesis, which says that the resulting definitions form an adequate formalization of the intuitive notion of computability. This had and continues to have an enormous effect. First of all, with these notions it has been possible to prove that various problems are algorithmically unsolvable. Among of group these undecidable problems are the halting problem, the word problem theory, the Post correspondence problem, and Hilbert's tenth problem. Secondly, concepts like Turing machines and WHILE-programs had a strong influence on the development of the first computers and programming languages. In the era of digital computers, the question of finding efficient solutions to algorithmically solvable problems has become increasingly important. In addition, the fact that some problems can be solved very efficiently, while others seem to defy all attempts to find an efficient solution, has called for a deeper under standing of the intrinsic computational difficulty of problems.
Theory and Applications of Satisfiability Testing – SAT 2019
Author: Mikoláš Janota
Publisher: Springer
ISBN: 3030242587
Category : Computers
Languages : en
Pages : 438
Book Description
This book constitutes the refereed proceedings of the 22nd International Conference on Theory and Applications of Satisfiability Testing, SAT 2019, held in Lisbon, Portugal, UK, in July 2019. The 19 revised full papers presented together with 7 short papers were carefully reviewed and selected from 64 submissions. The papers address different aspects of SAT interpreted in a broad sense, including (but not restricted to) theoretical advances (such as exact algorithms, proof complexity, and other complexity issues), practical search algorithms, knowledge compilation, implementation-level details of SAT solvers and SAT-based systems, problem encodings and reformulations, applications (including both novel application domains and improvements to existing approaches), as well as case studies and reports on findings based on rigorous experimentation.
Publisher: Springer
ISBN: 3030242587
Category : Computers
Languages : en
Pages : 438
Book Description
This book constitutes the refereed proceedings of the 22nd International Conference on Theory and Applications of Satisfiability Testing, SAT 2019, held in Lisbon, Portugal, UK, in July 2019. The 19 revised full papers presented together with 7 short papers were carefully reviewed and selected from 64 submissions. The papers address different aspects of SAT interpreted in a broad sense, including (but not restricted to) theoretical advances (such as exact algorithms, proof complexity, and other complexity issues), practical search algorithms, knowledge compilation, implementation-level details of SAT solvers and SAT-based systems, problem encodings and reformulations, applications (including both novel application domains and improvements to existing approaches), as well as case studies and reports on findings based on rigorous experimentation.
High Performance Computing and Communications
Author: Jack Dongarra
Publisher: Springer Science & Business Media
ISBN: 3540290311
Category : Computers
Languages : en
Pages : 1140
Book Description
This book constitutes the refereed proceedings of the First International Conference on High-Performance Computing and Communications, HPCC 2005, held in Sorrento, Italy in September 2005. The 76 revised full papers and 44 revised short papers presented were carefully reviewed and selected from 273 submissions. The papers are organized in topical sections on network protocols, routing, and algorithms; languages and compilers for HPC; parallel and distributed system architectures; embedded systems; parallel and distributed algorithms, wireless and mobile computing, Web services and Internet computing; peer-to-peer computing, grid and cluster computing, reliability, fault-tolerance, and security; performance evaluation and measurement; tools and environments for software development; distributed systems and applications; high performance scientific and engineering computing; database applications and data mining; HPSRF; pervasive computing and communications; and LMS.
Publisher: Springer Science & Business Media
ISBN: 3540290311
Category : Computers
Languages : en
Pages : 1140
Book Description
This book constitutes the refereed proceedings of the First International Conference on High-Performance Computing and Communications, HPCC 2005, held in Sorrento, Italy in September 2005. The 76 revised full papers and 44 revised short papers presented were carefully reviewed and selected from 273 submissions. The papers are organized in topical sections on network protocols, routing, and algorithms; languages and compilers for HPC; parallel and distributed system architectures; embedded systems; parallel and distributed algorithms, wireless and mobile computing, Web services and Internet computing; peer-to-peer computing, grid and cluster computing, reliability, fault-tolerance, and security; performance evaluation and measurement; tools and environments for software development; distributed systems and applications; high performance scientific and engineering computing; database applications and data mining; HPSRF; pervasive computing and communications; and LMS.
Introduction to Applied Linear Algebra
Author: Stephen Boyd
Publisher: Cambridge University Press
ISBN: 1316518965
Category : Business & Economics
Languages : en
Pages : 477
Book Description
A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.
Publisher: Cambridge University Press
ISBN: 1316518965
Category : Business & Economics
Languages : en
Pages : 477
Book Description
A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.
Computer Science
Author: Ricardo Baeza-Yates
Publisher: Springer Science & Business Media
ISBN: 1461534224
Category : Social Science
Languages : en
Pages : 463
Book Description
Introduction. Historical Overview. Databases: Office Information Systems Engineering (J. Palazzo, D. Alcoba) Artificial Intelligence, Logic, and Functional Programming: A HyperIcon Interface to a Blackboard System for Planning Research Projects (P. Charlton, C. Burdorf). Algorithms and Data Structures: Classification of Quadratic Algorithms for Multiplying Polynomials of Small Degree Over Finite Fields (A. Averbuch et al.). Object Oriented Systems: A Graphical Interactive Object Oriented Development System (M. Adar et al.). Distributed Systems: Preserving Distributed Data Coherence Us.
Publisher: Springer Science & Business Media
ISBN: 1461534224
Category : Social Science
Languages : en
Pages : 463
Book Description
Introduction. Historical Overview. Databases: Office Information Systems Engineering (J. Palazzo, D. Alcoba) Artificial Intelligence, Logic, and Functional Programming: A HyperIcon Interface to a Blackboard System for Planning Research Projects (P. Charlton, C. Burdorf). Algorithms and Data Structures: Classification of Quadratic Algorithms for Multiplying Polynomials of Small Degree Over Finite Fields (A. Averbuch et al.). Object Oriented Systems: A Graphical Interactive Object Oriented Development System (M. Adar et al.). Distributed Systems: Preserving Distributed Data Coherence Us.
Thirty-three Miniatures
Author: Jiří Matoušek
Publisher: American Mathematical Soc.
ISBN: 0821849778
Category : Mathematics
Languages : en
Pages : 196
Book Description
This volume contains a collection of clever mathematical applications of linear algebra, mainly in combinatorics, geometry, and algorithms. Each chapter covers a single main result with motivation and full proof in at most ten pages and can be read independently of all other chapters (with minor exceptions), assuming only a modest background in linear algebra. The topics include a number of well-known mathematical gems, such as Hamming codes, the matrix-tree theorem, the Lovasz bound on the Shannon capacity, and a counterexample to Borsuk's conjecture, as well as other, perhaps less popular but similarly beautiful results, e.g., fast associativity testing, a lemma of Steinitz on ordering vectors, a monotonicity result for integer partitions, or a bound for set pairs via exterior products. The simpler results in the first part of the book provide ample material to liven up an undergraduate course of linear algebra. The more advanced parts can be used for a graduate course of linear-algebraic methods or for seminar presentations. Table of Contents: Fibonacci numbers, quickly; Fibonacci numbers, the formula; The clubs of Oddtown; Same-size intersections; Error-correcting codes; Odd distances; Are these distances Euclidean?; Packing complete bipartite graphs; Equiangular lines; Where is the triangle?; Checking matrix multiplication; Tiling a rectangle by squares; Three Petersens are not enough; Petersen, Hoffman-Singleton, and maybe 57; Only two distances; Covering a cube minus one vertex; Medium-size intersection is hard to avoid; On the difficulty of reducing the diameter; The end of the small coins; Walking in the yard; Counting spanning trees; In how many ways can a man tile a board?; More bricks--more walls?; Perfect matchings and determinants; Turning a ladder over a finite field; Counting compositions; Is it associative?; The secret agent and umbrella; Shannon capacity of the union: a tale of two fields; Equilateral sets; Cutting cheaply using eigenvectors; Rotating the cube; Set pairs and exterior products; Index. (STML/53)
Publisher: American Mathematical Soc.
ISBN: 0821849778
Category : Mathematics
Languages : en
Pages : 196
Book Description
This volume contains a collection of clever mathematical applications of linear algebra, mainly in combinatorics, geometry, and algorithms. Each chapter covers a single main result with motivation and full proof in at most ten pages and can be read independently of all other chapters (with minor exceptions), assuming only a modest background in linear algebra. The topics include a number of well-known mathematical gems, such as Hamming codes, the matrix-tree theorem, the Lovasz bound on the Shannon capacity, and a counterexample to Borsuk's conjecture, as well as other, perhaps less popular but similarly beautiful results, e.g., fast associativity testing, a lemma of Steinitz on ordering vectors, a monotonicity result for integer partitions, or a bound for set pairs via exterior products. The simpler results in the first part of the book provide ample material to liven up an undergraduate course of linear algebra. The more advanced parts can be used for a graduate course of linear-algebraic methods or for seminar presentations. Table of Contents: Fibonacci numbers, quickly; Fibonacci numbers, the formula; The clubs of Oddtown; Same-size intersections; Error-correcting codes; Odd distances; Are these distances Euclidean?; Packing complete bipartite graphs; Equiangular lines; Where is the triangle?; Checking matrix multiplication; Tiling a rectangle by squares; Three Petersens are not enough; Petersen, Hoffman-Singleton, and maybe 57; Only two distances; Covering a cube minus one vertex; Medium-size intersection is hard to avoid; On the difficulty of reducing the diameter; The end of the small coins; Walking in the yard; Counting spanning trees; In how many ways can a man tile a board?; More bricks--more walls?; Perfect matchings and determinants; Turning a ladder over a finite field; Counting compositions; Is it associative?; The secret agent and umbrella; Shannon capacity of the union: a tale of two fields; Equilateral sets; Cutting cheaply using eigenvectors; Rotating the cube; Set pairs and exterior products; Index. (STML/53)
The Algorithm Design Manual
Author: Steven S Skiena
Publisher: Springer Science & Business Media
ISBN: 1848000707
Category : Computers
Languages : en
Pages : 742
Book Description
This newly expanded and updated second edition of the best-selling classic continues to take the "mystery" out of designing algorithms, and analyzing their efficacy and efficiency. Expanding on the first edition, the book now serves as the primary textbook of choice for algorithm design courses while maintaining its status as the premier practical reference guide to algorithms for programmers, researchers, and students. The reader-friendly Algorithm Design Manual provides straightforward access to combinatorial algorithms technology, stressing design over analysis. The first part, Techniques, provides accessible instruction on methods for designing and analyzing computer algorithms. The second part, Resources, is intended for browsing and reference, and comprises the catalog of algorithmic resources, implementations and an extensive bibliography. NEW to the second edition: • Doubles the tutorial material and exercises over the first edition • Provides full online support for lecturers, and a completely updated and improved website component with lecture slides, audio and video • Contains a unique catalog identifying the 75 algorithmic problems that arise most often in practice, leading the reader down the right path to solve them • Includes several NEW "war stories" relating experiences from real-world applications • Provides up-to-date links leading to the very best algorithm implementations available in C, C++, and Java
Publisher: Springer Science & Business Media
ISBN: 1848000707
Category : Computers
Languages : en
Pages : 742
Book Description
This newly expanded and updated second edition of the best-selling classic continues to take the "mystery" out of designing algorithms, and analyzing their efficacy and efficiency. Expanding on the first edition, the book now serves as the primary textbook of choice for algorithm design courses while maintaining its status as the premier practical reference guide to algorithms for programmers, researchers, and students. The reader-friendly Algorithm Design Manual provides straightforward access to combinatorial algorithms technology, stressing design over analysis. The first part, Techniques, provides accessible instruction on methods for designing and analyzing computer algorithms. The second part, Resources, is intended for browsing and reference, and comprises the catalog of algorithmic resources, implementations and an extensive bibliography. NEW to the second edition: • Doubles the tutorial material and exercises over the first edition • Provides full online support for lecturers, and a completely updated and improved website component with lecture slides, audio and video • Contains a unique catalog identifying the 75 algorithmic problems that arise most often in practice, leading the reader down the right path to solve them • Includes several NEW "war stories" relating experiences from real-world applications • Provides up-to-date links leading to the very best algorithm implementations available in C, C++, and Java
Developments in Reliable Computing
Author: Tibor Csendes
Publisher: Springer Science & Business Media
ISBN: 9780792360575
Category : Computers
Languages : en
Pages : 420
Book Description
The present volume contains 30 articles presented at SCAN-98, Budapest, Hungary. These papers cover all aspects of validation techniques in scientific computing, ranging from hardware requirements, elementary operations, high accuracy function evaluations and interval arithmetic to advanced validating techniques and applications in various fields of practical interest. Audience: This book is of interest to researchers and graduate students whose work involves validation techniques in scientific computing.
Publisher: Springer Science & Business Media
ISBN: 9780792360575
Category : Computers
Languages : en
Pages : 420
Book Description
The present volume contains 30 articles presented at SCAN-98, Budapest, Hungary. These papers cover all aspects of validation techniques in scientific computing, ranging from hardware requirements, elementary operations, high accuracy function evaluations and interval arithmetic to advanced validating techniques and applications in various fields of practical interest. Audience: This book is of interest to researchers and graduate students whose work involves validation techniques in scientific computing.