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Author : Karolyn Ann Morgan
Publisher :
ISBN 13 :
Total Pages : 230 pages
Book Rating : 4.:/5 (79 download)
Download or read book Noncommutative Algorithms for Fast Matrix Multiplication written by Karolyn Ann Morgan and published by . This book was released on 1978 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 13 pages
Book Rating : 4.:/5 (227 download)
Download or read book Computer-Aided Discovery of a Fast Matrix-Multiplication Algorithm written by and published by . This book was released on 1979 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: A computer program was written that searches for fast matrix-multiplication algorithms by seeking roots of a certain multivariate polynomial. An algorithm was discovered that, like the one discovered by Laderman, uses 23 noncommutative multiplications in multiplying 3-by-3 matrices. The new algorithm is demonstrably inequivalent to Laderman's in a sense that is made precise. (Author).
Author : Karolyn Ann Morgan
Publisher :
ISBN 13 :
Total Pages : 246 pages
Book Rating : 4.:/5 (34 download)
Download or read book Noncomunitative Algorithms for Fast Matrix Multiplication written by Karolyn Ann Morgan and published by . This book was released on 1978 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gregory S. Chirikjian
Publisher : CRC Press
ISBN 13 : 1000694259
Total Pages : 697 pages
Book Rating : 4.0/5 (6 download)
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.
Author : Jianyu Huang
Publisher :
ISBN 13 :
Total Pages : 364 pages
Book Rating : 4.:/5 (15 download)
Download or read book Practical Fast Matrix Multiplication Algorithms written by Jianyu Huang and published by . This book was released on 2018 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: Matrix multiplication is a core building block for numerous scientific computing and, more recently, machine learning applications. Strassen's algorithm, the original Fast Matrix Multiplication (FMM) algorithm, has long fascinated computer scientists due to its startling property of reducing the number of computations required for multiplying n x n matrices from O(n3) to O(n [superscript 2.807]). Over the last half century, this has fueled many theoretical improvements such as other variations of Strassen-like FMM algorithms. Previous implementations of these FMM algorithms led to the "street wisdom" that they are only practical for large, relatively square matrices, that they require considerable workspace, and that they are difficult to achieve thread-level parallelism. The thesis of this work dispels these notions by demonstrating significant benefits for small and non-square matrices, requiring no workspace beyond what is already incorporated in high-performance implementations of matrix multiplication, and achieving performance benefits on multi-core, many-core, and distributed memory architectures.
Author : Nicholas J. Higham
Publisher : SIAM
ISBN 13 : 9780898718027
Total Pages : 710 pages
Book Rating : 4.7/5 (18 download)
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.
Author : Teo Mora
Publisher : Springer Science & Business Media
ISBN 13 : 9783540510833
Total Pages : 496 pages
Book Rating : 4.5/5 (18 download)
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.
Author : Leslie Hogben
Publisher : CRC Press
ISBN 13 : 1420010573
Total Pages : 1402 pages
Book Rating : 4.4/5 (2 download)
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
Author : Victor Pan
Publisher : Springer
ISBN 13 :
Total Pages : 232 pages
Book Rating : 4.3/5 (91 download)
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:
Author : J. Gruska
Publisher : Springer Science & Business Media
ISBN 13 : 9783540083535
Total Pages : 624 pages
Book Rating : 4.0/5 (835 download)
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:
Author : Vijay Madisetti
Publisher : CRC Press
ISBN 13 : 1420046071
Total Pages : 904 pages
Book Rating : 4.4/5 (2 download)
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.
Author : Richard E. Blahut
Publisher : Cambridge University Press
ISBN 13 : 1139487957
Total Pages : 469 pages
Book Rating : 4.1/5 (394 download)
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.
Author : VIJAY MADISETTI
Publisher : CRC Press
ISBN 13 : 9780849385728
Total Pages : 1792 pages
Book Rating : 4.3/5 (857 download)
Download or read book The Digital Signal Processing Handbook written by VIJAY MADISETTI and published by CRC Press. This book was released on 1997-12-29 with total page 1792 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of digital signal processing (DSP) has spurred developments from basic theory of discrete-time signals and processing tools to diverse applications in telecommunications, speech and acoustics, radar, and video. This volume provides an accessible reference, offering theoretical and practical information to the audience of DSP users. This immense compilation outlines both introductory and specialized aspects of information-bearing signals in digital form, creating a resource relevant to the expanding needs of the engineering community. It also explores the use of computers and special-purpose digital hardware in extracting information or transforming signals in advantageous ways. Impacted areas presented include: 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 This authoritative collaboration, written by the foremost researchers and practitioners in their fields, comprehensively presents the range of DSP: from theory to application, from algorithms to hardware.
Author : VIJAY MADISETTI
Publisher : CRC Press
ISBN 13 : 0849321352
Total Pages : 1725 pages
Book Rating : 4.8/5 (493 download)
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
Author : Ami Harten
Publisher :
ISBN 13 :
Total Pages : 48 pages
Book Rating : 4.:/5 (317 download)
Download or read book Fast Multiresolution Algorithms for Matrix-vector Multiplication written by Ami Harten and published by . This book was released on 1992 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J. M. Landsberg
Publisher : Cambridge University Press
ISBN 13 : 110819141X
Total Pages : 353 pages
Book Rating : 4.1/5 (81 download)
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.
Author : Philippe Fossier
Publisher :
ISBN 13 :
Total Pages : 238 pages
Book Rating : 4.:/5 (23 download)
Download or read book Algorithms for Faster Matrix Multiplication written by Philippe Fossier and published by . This book was released on 1989 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt:
