Noncommutative Algorithms For Fast Matrix Multiplication

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Engineering Applications of Noncommutative Harmonic Analysis

Author : Gregory S. Chirikjian
Publisher : CRC Press
ISBN 13 : 1000694259
Total Pages : 697 pages
Book Rating : 4.0/5 (6 download)

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Book Synopsis Engineering Applications of Noncommutative Harmonic Analysis by : Gregory S. Chirikjian

Download or read book Engineering Applications of Noncommutative Harmonic Analysis written by Gregory S. Chirikjian and published by CRC Press. This book was released on 2021-02-25 with total page 697 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 2001. The classical Fourier transform is one of the most widely used mathematical tools in engineering. However, few engineers know that extensions of harmonic analysis to functions on groups holds great potential for solving problems in robotics, image analysis, mechanics, and other areas. For those that may be aware of its potential value, there is still no place they can turn to for a clear presentation of the background they need to apply the concept to engineering problems. Engineering Applications of Noncommutative Harmonic Analysis brings this powerful tool to the engineering world. Written specifically for engineers and computer scientists, it offers a practical treatment of harmonic analysis in the context of particular Lie groups (rotation and Euclidean motion). It presents only a limited number of proofs, focusing instead on providing a review of the fundamental mathematical results unknown to most engineers and detailed discussions of specific applications. Advances in pure mathematics can lead to very tangible advances in engineering, but only if they are available and accessible to engineers. Engineering Applications of Noncommutative Harmonic Analysis provides the means for adding this valuable and effective technique to the engineer's toolbox.

How to Multiply Matrices Faster

Author : Victor Pan
Publisher : Springer
ISBN 13 :
Total Pages : 232 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis How to Multiply Matrices Faster by : Victor Pan

Download or read book How to Multiply Matrices Faster written by Victor Pan and published by Springer. This book was released on 1984 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applied Algebra, Algebraic Algorithms, and Error-correcting Codes

Author : Teo Mora
Publisher : Springer Science & Business Media
ISBN 13 : 9783540510833
Total Pages : 496 pages
Book Rating : 4.5/5 (18 download)

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Book Synopsis Applied Algebra, Algebraic Algorithms, and Error-correcting Codes by : Teo Mora

Download or read book Applied Algebra, Algebraic Algorithms, and Error-correcting Codes written by Teo Mora and published by Springer Science & Business Media. This book was released on 1989-05-23 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1988, for the first time, the two international conferences AAECC-6 and ISSAC'88 (International Symposium on Symbolic and Algebraic Computation, see Lecture Notes in Computer Science 358) have taken place as a Joint Conference in Rome, July 4-8, 1988. The topics of the two conferences are in fact widely related to each other and the Joint Conference presented a good occasion for the two research communities to meet and share scientific experiences and results. The proceedings of the AAECC-6 are included in this volume. The main topics are: Applied Algebra, Theory and Application of Error-Correcting Codes, Cryptography, Complexity, Algebra Based Methods and Applications in Symbolic Computing and Computer Algebra, and Algebraic Methods and Applications for Advanced Information Processing. Twelve invited papers on subjects of common interest for the two conferences are divided between this volume and the succeeding Lecture Notes volume devoted to ISSACC'88. The proceedings of the 5th conference are published as Vol. 356 of the Lecture Notes in Computer Science.

Accuracy and Stability of Numerical Algorithms

Author : Nicholas J. Higham
Publisher : SIAM
ISBN 13 : 9780898718027
Total Pages : 710 pages
Book Rating : 4.7/5 (18 download)

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Book Synopsis Accuracy and Stability of Numerical Algorithms by : Nicholas J. Higham

Download or read book Accuracy and Stability of Numerical Algorithms written by Nicholas J. Higham and published by SIAM. This book was released on 2002-01-01 with total page 710 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accuracy and Stability of Numerical Algorithms gives a thorough, up-to-date treatment of the behavior of numerical algorithms in finite precision arithmetic. It combines algorithmic derivations, perturbation theory, and rounding error analysis, all enlivened by historical perspective and informative quotations. This second edition expands and updates the coverage of the first edition (1996) and includes numerous improvements to the original material. Two new chapters treat symmetric indefinite systems and skew-symmetric systems, and nonlinear systems and Newton's method. Twelve new sections include coverage of additional error bounds for Gaussian elimination, rank revealing LU factorizations, weighted and constrained least squares problems, and the fused multiply-add operation found on some modern computer architectures.

Handbook of Linear Algebra

Author : Leslie Hogben
Publisher : CRC Press
ISBN 13 : 1420010573
Total Pages : 1402 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Handbook of Linear Algebra by : Leslie Hogben

Download or read book Handbook of Linear Algebra written by Leslie Hogben and published by CRC Press. This book was released on 2006-11-02 with total page 1402 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Linear Algebra provides comprehensive coverage of linear algebra concepts, applications, and computational software packages in an easy-to-use handbook format. The esteemed international contributors guide you from the very elementary aspects of the subject to the frontiers of current research. The book features an accessibl

Digital Signal Processing Fundamentals

Author : Vijay Madisetti
Publisher : CRC Press
ISBN 13 : 1420046071
Total Pages : 904 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Digital Signal Processing Fundamentals by : Vijay Madisetti

Download or read book Digital Signal Processing Fundamentals written by Vijay Madisetti and published by CRC Press. This book was released on 2017-12-19 with total page 904 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now available in a three-volume set, this updated and expanded edition of the bestselling The Digital Signal Processing Handbook continues to provide the engineering community with authoritative coverage of the fundamental and specialized aspects of information-bearing signals in digital form. Encompassing essential background material, technical details, standards, and software, the second edition reflects cutting-edge information on signal processing algorithms and protocols related to speech, audio, multimedia, and video processing technology associated with standards ranging from WiMax to MP3 audio, low-power/high-performance DSPs, color image processing, and chips on video. Drawing on the experience of leading engineers, researchers, and scholars, the three-volume set contains 29 new chapters that address multimedia and Internet technologies, tomography, radar systems, architecture, standards, and future applications in speech, acoustics, video, radar, and telecommunications. Emphasizing theoretical concepts, Digital Signal Processing Fundamentals provides comprehensive coverage of the basic foundations of DSP and includes the following parts: Signals and Systems; Signal Representation and Quantization; Fourier Transforms; Digital Filtering; Statistical Signal Processing; Adaptive Filtering; Inverse Problems and Signal Reconstruction; and Time–Frequency and Multirate Signal Processing.

Mathematical Foundations of Computer Science 1977

Author : J. Gruska
Publisher : Springer Science & Business Media
ISBN 13 : 9783540083535
Total Pages : 624 pages
Book Rating : 4.0/5 (835 download)

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Book Synopsis Mathematical Foundations of Computer Science 1977 by : J. Gruska

Download or read book Mathematical Foundations of Computer Science 1977 written by J. Gruska and published by Springer Science & Business Media. This book was released on 1977-08 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Digital Signal Processing Handbook on CD-ROM

Author : VIJAY MADISETTI
Publisher : CRC Press
ISBN 13 : 0849321352
Total Pages : 1725 pages
Book Rating : 4.8/5 (493 download)

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Book Synopsis Digital Signal Processing Handbook on CD-ROM by : VIJAY MADISETTI

Download or read book Digital Signal Processing Handbook on CD-ROM written by VIJAY MADISETTI and published by CRC Press. This book was released on 1999-02-26 with total page 1725 pages. Available in PDF, EPUB and Kindle. Book excerpt: A best-seller in its print version, this comprehensive CD-ROM reference contains unique, fully searchable coverage of all major topics in digital signal processing (DSP), establishing an invaluable, time-saving resource for the engineering community. Its unique and broad scope includes contributions from all DSP specialties, including: telecommunications, computer engineering, acoustics, seismic data analysis, DSP software and hardware, image and video processing, remote sensing, multimedia applications, medical technology, radar and sonar applications

Fast Algorithms for Signal Processing

Author : Richard E. Blahut
Publisher : Cambridge University Press
ISBN 13 : 1139487957
Total Pages : 469 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Fast Algorithms for Signal Processing by : Richard E. Blahut

Download or read book Fast Algorithms for Signal Processing written by Richard E. Blahut and published by Cambridge University Press. This book was released on 2010-06-24 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: Efficient signal processing algorithms are important for embedded and power-limited applications since, by reducing the number of computations, power consumption can be reduced significantly. Similarly, efficient algorithms are also critical to very large scale applications such as video processing and four-dimensional medical imaging. This self-contained guide, the only one of its kind, enables engineers to find the optimum fast algorithm for a specific application. It presents a broad range of computationally-efficient algorithms, describes their structure and implementation, and compares their relative strengths for given problems. All the necessary background mathematics is included and theorems are rigorously proved, so all the information needed to learn and apply the techniques is provided in one convenient guide. With this practical reference, researchers and practitioners in electrical engineering, applied mathematics, and computer science can reduce power dissipation for low-end applications of signal processing, and extend the reach of high-end applications.

Algebraic Complexity Theory

Author : Peter Bürgisser
Publisher : Springer Science & Business Media
ISBN 13 : 3662033380
Total Pages : 630 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Algebraic Complexity Theory by : Peter Bürgisser

Download or read book Algebraic Complexity Theory written by Peter Bürgisser and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Geometry and Complexity Theory

Author : J. M. Landsberg
Publisher : Cambridge University Press
ISBN 13 : 110819141X
Total Pages : 353 pages
Book Rating : 4.1/5 (81 download)

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Book Synopsis Geometry and Complexity Theory by : J. M. Landsberg

Download or read book Geometry and Complexity Theory written by J. M. Landsberg and published by Cambridge University Press. This book was released on 2017-09-28 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two central problems in computer science are P vs NP and the complexity of matrix multiplication. The first is also a leading candidate for the greatest unsolved problem in mathematics. The second is of enormous practical and theoretical importance. Algebraic geometry and representation theory provide fertile ground for advancing work on these problems and others in complexity. This introduction to algebraic complexity theory for graduate students and researchers in computer science and mathematics features concrete examples that demonstrate the application of geometric techniques to real world problems. Written by a noted expert in the field, it offers numerous open questions to motivate future research. Complexity theory has rejuvenated classical geometric questions and brought different areas of mathematics together in new ways. This book will show the beautiful, interesting, and important questions that have arisen as a result.

How to Multiply Matrices Faster

Author : Victor Pan
Publisher : Lecture Notes in Computer Science
ISBN 13 :
Total Pages : 228 pages
Book Rating : 4.:/5 (5 download)

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Book Synopsis How to Multiply Matrices Faster by : Victor Pan

Download or read book How to Multiply Matrices Faster written by Victor Pan and published by Lecture Notes in Computer Science. This book was released on 1984-10 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Handbook of Linear Algebra, Second Edition

Author : Leslie Hogben
Publisher : CRC Press
ISBN 13 : 1466507284
Total Pages : 1906 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Handbook of Linear Algebra, Second Edition by : Leslie Hogben

Download or read book Handbook of Linear Algebra, Second Edition written by Leslie Hogben and published by CRC Press. This book was released on 2013-11-26 with total page 1906 pages. Available in PDF, EPUB and Kindle. Book excerpt: With a substantial amount of new material, the Handbook of Linear Algebra, Second Edition provides comprehensive coverage of linear algebra concepts, applications, and computational software packages in an easy-to-use format. It guides you from the very elementary aspects of the subject to the frontiers of current research. Along with revisions and updates throughout, the second edition of this bestseller includes 20 new chapters. New to the Second Edition Separate chapters on Schur complements, additional types of canonical forms, tensors, matrix polynomials, matrix equations, special types of matrices, generalized inverses, matrices over finite fields, invariant subspaces, representations of quivers, and spectral sets New chapters on combinatorial matrix theory topics, such as tournaments, the minimum rank problem, and spectral graph theory, as well as numerical linear algebra topics, including algorithms for structured matrix computations, stability of structured matrix computations, and nonlinear eigenvalue problems More chapters on applications of linear algebra, including epidemiology and quantum error correction New chapter on using the free and open source software system Sage for linear algebra Additional sections in the chapters on sign pattern matrices and applications to geometry Conjectures and open problems in most chapters on advanced topics Highly praised as a valuable resource for anyone who uses linear algebra, the first edition covered virtually all aspects of linear algebra and its applications. This edition continues to encompass the fundamentals of linear algebra, combinatorial and numerical linear algebra, and applications of linear algebra to various disciplines while also covering up-to-date software packages for linear algebra computations.

Parallel and Distributed Computing, Applications and Technologies

Author : Hong Shen
Publisher : Springer Nature
ISBN 13 : 3030967727
Total Pages : 643 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Parallel and Distributed Computing, Applications and Technologies by : Hong Shen

Download or read book Parallel and Distributed Computing, Applications and Technologies written by Hong Shen and published by Springer Nature. This book was released on 2022-03-15 with total page 643 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 22nd International Conference on Parallel and Distributed Computing, Applications, and Technologies, PDCAT 2021, which took place in Guangzhou, China, during December 17-19, 2021. The 24 full papers and 34 short papers included in this volume were carefully reviewed and selected from 97 submissions. The papers are categorized into the following topical sub-headings: networking and architectures, software systems and technologies, algorithms and applications, and security and privacy.

Scientific and Technical Aerospace Reports

Author :
Publisher :
ISBN 13 :
Total Pages : 256 pages
Book Rating : 4.:/5 (3 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1990 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Theory and Applications of Satisfiability Testing – SAT 2019

Author : Mikoláš Janota
Publisher : Springer
ISBN 13 : 3030242587
Total Pages : 438 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Theory and Applications of Satisfiability Testing – SAT 2019 by : Mikoláš Janota

Download or read book Theory and Applications of Satisfiability Testing – SAT 2019 written by Mikoláš Janota and published by Springer. This book was released on 2019-06-28 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Algebraic Informatics

Author : Dimitrios Poulakis
Publisher : Springer Nature
ISBN 13 : 3031196856
Total Pages : 233 pages
Book Rating : 4.0/5 (311 download)

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Book Synopsis Algebraic Informatics by : Dimitrios Poulakis

Download or read book Algebraic Informatics written by Dimitrios Poulakis and published by Springer Nature. This book was released on 2022-10-17 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 9th International Conference on Algebraic Informatics, CAI 2022, held as virtual event, in October 27–29, 2022. The 2 abstracts, 3 full papers of invited speakers, and 12 contributed papers presented in this volume were carefully reviewed and selected from 17 submissions. The papers contain original and unpublished research; the topics of them lie in automata theory, cryptography, coding theory, DNA computation, computer algebra, and theory of software architectures.