Structured Matrices in Mathematics, Computer Science, and Engineering II

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Publisher : American Mathematical Soc.
ISBN 13 : 0821820923
Total Pages : 362 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Structured Matrices in Mathematics, Computer Science, and Engineering II by : Vadim Olshevsky

Download or read book Structured Matrices in Mathematics, Computer Science, and Engineering II written by Vadim Olshevsky and published by American Mathematical Soc.. This book was released on 2001 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The collection of the contributions to these volumes offers a flavor of the plethora of different approaches to attack structured matrix problems. The reader will find that the theory of structured matrices is positioned to bridge diverse applications in the sciences and engineering, deep mathematical theories, as well as computational and numberical issues. The presentation fully illustrates the fact that the technicques of engineers, mathematicisn, and numerical analysts nicely complement each other, and they all contribute to one unified theory of structured matrices"--Back cover.

Structured Matrices in Mathematics, Computer Science, and Engineering I

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Publisher : American Mathematical Soc.
ISBN 13 : 0821819216
Total Pages : 346 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Structured Matrices in Mathematics, Computer Science, and Engineering I by : Vadim Olshevsky

Download or read book Structured Matrices in Mathematics, Computer Science, and Engineering I written by Vadim Olshevsky and published by American Mathematical Soc.. This book was released on 2001 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The collection of the contributions to these volumes offers a flavor of the plethora of different approaches to attack structured matrix problems. The reader will find that the theory of structured matrices is positioned to bridge diverse applications in the sciences and engineering, deep mathematical theories, as well as computational and numberical issues. The presentation fully illustrates the fact that the technicques of engineers, mathematicisn, and numerical analysts nicely complement each other, and they all contribute to one unified theory of structured matrices"--Back cover.

Fast Algorithms for Structured Matrices

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Publisher : American Mathematical Soc.
ISBN 13 : 0821831771
Total Pages : 448 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Fast Algorithms for Structured Matrices by : Vadim Olshevsky

Download or read book Fast Algorithms for Structured Matrices written by Vadim Olshevsky and published by American Mathematical Soc.. This book was released on 2003 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the best known fast computational algorithms is the fast Fourier transform method. Its efficiency is based mainly on the special structure of the discrete Fourier transform matrix. Recently, many other algorithms of this type were discovered, and the theory of structured matrices emerged. This volume contains 22 survey and research papers devoted to a variety of theoretical and practical aspects of the design of fast algorithms for structured matrices and related issues. Included are several papers containing various affirmative and negative results in this direction. The theory of rational interpolation is one of the excellent sources providing intuition and methods to design fast algorithms. The volume contains several computational and theoretical papers on the topic. There are several papers on new applications of structured matrices, e.g., to the design of fast decoding algorithms, computing state-space realizations, relations to Lie algebras, unconstrained optimization, solving matrix equations, etc. The book is suitable for mathematicians, engineers, and numerical analysts who design, study, and use fast computational algorithms based on the theory of structured matrices.

Numerical Methods for Structured Matrices and Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 3764389966
Total Pages : 439 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Numerical Methods for Structured Matrices and Applications by : Dario Andrea Bini

Download or read book Numerical Methods for Structured Matrices and Applications written by Dario Andrea Bini and published by Springer Science & Business Media. This book was released on 2011-02-09 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: This cross-disciplinary volume brings together theoretical mathematicians, engineers and numerical analysts and publishes surveys and research articles related to topics such as fast algorithms, in which the late Georg Heinig made outstanding achievements.

Structured Matrices in Mathematics, Computer Science, and Engineering I

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821856161
Total Pages : pages
Book Rating : 4.8/5 (561 download)

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Book Synopsis Structured Matrices in Mathematics, Computer Science, and Engineering I by :

Download or read book Structured Matrices in Mathematics, Computer Science, and Engineering I written by and published by American Mathematical Soc.. This book was released on 2001 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Structured Matrices in Mathematics, Computer Science, and Engineering:

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Publisher :
ISBN 13 : 9780821820926
Total Pages : pages
Book Rating : 4.8/5 (29 download)

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Book Synopsis Structured Matrices in Mathematics, Computer Science, and Engineering: by : American Mathematical Society (Providence, Estados Unidos). Joint Summer Research Conference

Download or read book Structured Matrices in Mathematics, Computer Science, and Engineering: written by American Mathematical Society (Providence, Estados Unidos). Joint Summer Research Conference and published by . This book was released on 2001 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Exploiting Hidden Structure in Matrix Computations: Algorithms and Applications

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Publisher : Springer
ISBN 13 : 3319498878
Total Pages : 413 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Exploiting Hidden Structure in Matrix Computations: Algorithms and Applications by : Michele Benzi

Download or read book Exploiting Hidden Structure in Matrix Computations: Algorithms and Applications written by Michele Benzi and published by Springer. This book was released on 2017-01-24 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focusing on special matrices and matrices which are in some sense `near’ to structured matrices, this volume covers a broad range of topics of current interest in numerical linear algebra. Exploitation of these less obvious structural properties can be of great importance in the design of efficient numerical methods, for example algorithms for matrices with low-rank block structure, matrices with decay, and structured tensor computations. Applications range from quantum chemistry to queuing theory. Structured matrices arise frequently in applications. Examples include banded and sparse matrices, Toeplitz-type matrices, and matrices with semi-separable or quasi-separable structure, as well as Hamiltonian and symplectic matrices. The associated literature is enormous, and many efficient algorithms have been developed for solving problems involving such matrices. The text arose from a C.I.M.E. course held in Cetraro (Italy) in June 2015 which aimed to present this fast growing field to young researchers, exploiting the expertise of five leading lecturers with different theoretical and application perspectives.

Matrix Computations and Semiseparable Matrices

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Publisher : JHU Press
ISBN 13 : 0801890527
Total Pages : 515 pages
Book Rating : 4.8/5 (18 download)

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Book Synopsis Matrix Computations and Semiseparable Matrices by : Raf Vandebril

Download or read book Matrix Computations and Semiseparable Matrices written by Raf Vandebril and published by JHU Press. This book was released on 2008-11-12 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: The general properties and mathematical structures of semiseparable matrices were presented in volume 1 of Matrix Computations and Semiseparable Matrices. In volume 2, Raf Vandebril, Marc Van Barel, and Nicola Mastronardi discuss the theory of structured eigenvalue and singular value computations for semiseparable matrices. These matrices have hidden properties that allow the development of efficient methods and algorithms to accurately compute the matrix eigenvalues. This thorough analysis of semiseparable matrices explains their theoretical underpinnings and contains a wealth of information on implementing them in practice. Many of the routines featured are coded in Matlab and can be downloaded from the Web for further exploration.

Matrix Computations

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Publisher : JHU Press
ISBN 13 : 1421408597
Total Pages : 781 pages
Book Rating : 4.4/5 (214 download)

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Book Synopsis Matrix Computations by : Gene H. Golub

Download or read book Matrix Computations written by Gene H. Golub and published by JHU Press. This book was released on 2013-02-15 with total page 781 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive treatment of numerical linear algebra from the standpoint of both theory and practice. The fourth edition of Gene H. Golub and Charles F. Van Loan's classic is an essential reference for computational scientists and engineers in addition to researchers in the numerical linear algebra community. Anyone whose work requires the solution to a matrix problem and an appreciation of its mathematical properties will find this book to be an indispensible tool. This revision is a cover-to-cover expansion and renovation of the third edition. It now includes an introduction to tensor computations and brand new sections on • fast transforms • parallel LU • discrete Poisson solvers • pseudospectra • structured linear equation problems • structured eigenvalue problems • large-scale SVD methods • polynomial eigenvalue problems Matrix Computations is packed with challenging problems, insightful derivations, and pointers to the literature—everything needed to become a matrix-savvy developer of numerical methods and software. The second most cited math book of 2012 according to MathSciNet, the book has placed in the top 10 for since 2005.

Separable Type Representations of Matrices and Fast Algorithms

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Publisher : Springer Science & Business Media
ISBN 13 : 303480606X
Total Pages : 404 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Separable Type Representations of Matrices and Fast Algorithms by : Yuli Eidelman

Download or read book Separable Type Representations of Matrices and Fast Algorithms written by Yuli Eidelman and published by Springer Science & Business Media. This book was released on 2013-10-08 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-volume work presents a systematic theoretical and computational study of several types of generalizations of separable matrices. The main attention is paid to fast algorithms (many of linear complexity) for matrices in semiseparable, quasiseparable, band and companion form. The work is focused on algorithms of multiplication, inversion and description of eigenstructure and includes a large number of illustrative examples throughout the different chapters. The first volume consists of four parts. The first part is of a mainly theoretical character introducing and studying the quasiseparable and semiseparable representations of matrices and minimal rank completion problems. Three further completions are treated in the second part. The first applications of the quasiseparable and semiseparable structure are included in the third part where the interplay between the quasiseparable structure and discrete time varying linear systems with boundary conditions play an essential role. The fourth part contains factorization and inversion fast algorithms for matrices via quasiseparable and semiseparable structure. The work is based mostly on results obtained by the authors and their coauthors. Due to its many significant applications and the accessible style the text will be useful to engineers, scientists, numerical analysts, computer scientists and mathematicians alike.​

Advances in Structured Operator Theory and Related Areas

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Publisher : Springer Science & Business Media
ISBN 13 : 3034806396
Total Pages : 258 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Advances in Structured Operator Theory and Related Areas by : Marinus A. Kaashoek

Download or read book Advances in Structured Operator Theory and Related Areas written by Marinus A. Kaashoek and published by Springer Science & Business Media. This book was released on 2013-08-30 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is dedicated to Leonid Lerer on the occasion of his seventieth birthday. The main part presents recent results in Lerer’s research area of interest, which includes Toeplitz, Toeplitz plus Hankel, and Wiener-Hopf operators, Bezout equations, inertia type results, matrix polynomials, and related areas in operator and matrix theory. Biographical material and Lerer's list of publications complete the volume.

Council for African American Researchers in the Mathematical Sciences: Volume IV

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Publisher : American Mathematical Soc.
ISBN 13 : 0821827936
Total Pages : 152 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Council for African American Researchers in the Mathematical Sciences: Volume IV by : Gaston M. N'Guerekata

Download or read book Council for African American Researchers in the Mathematical Sciences: Volume IV written by Gaston M. N'Guerekata and published by American Mathematical Soc.. This book was released on 2001 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the first conference in 1995, significant numbers of researchers have presented their current work in technical talks, and graduate students have presented their work in organized poster sessions."--BOOK JACKET.

Wavelet Analysis and Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 376437778X
Total Pages : 567 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Wavelet Analysis and Applications by : Tao Qian

Download or read book Wavelet Analysis and Applications written by Tao Qian and published by Springer Science & Business Media. This book was released on 2007-02-24 with total page 567 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume reflects the latest developments in the area of wavelet analysis and its applications. Since the cornerstone lecture of Yves Meyer presented at the ICM 1990 in Kyoto, to some extent, wavelet analysis has often been said to be mainly an applied area. However, a significant percentage of contributions now are connected to theoretical mathematical areas, and the concept of wavelets continuously stretches across various disciplines of mathematics. Key topics: Approximation and Fourier Analysis Construction of Wavelets and Frame Theory Fractal and Multifractal Theory Wavelets in Numerical Analysis Time-Frequency Analysis Adaptive Representation of Nonlinear and Non-stationary Signals Applications, particularly in image processing Through the broad spectrum, ranging from pure and applied mathematics to real applications, the book will be most useful for researchers, engineers and developers alike.

Foundations of Computational Mathematics, Santander 2005

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Publisher : Cambridge University Press
ISBN 13 : 0521681618
Total Pages : 395 pages
Book Rating : 4.5/5 (216 download)

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Book Synopsis Foundations of Computational Mathematics, Santander 2005 by : Society for the Foundation of Computational Mathematics

Download or read book Foundations of Computational Mathematics, Santander 2005 written by Society for the Foundation of Computational Mathematics and published by Cambridge University Press. This book was released on 2006-06-29 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: Surveys and summaries of latest research in numerical analysis, optimization, computer algebra and scientific computing.

Symbolic Computation: Solving Equations in Algebra, Geometry, and Engineering

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Publisher : American Mathematical Soc.
ISBN 13 : 0821826794
Total Pages : 250 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Symbolic Computation: Solving Equations in Algebra, Geometry, and Engineering by : Edward L. Green

Download or read book Symbolic Computation: Solving Equations in Algebra, Geometry, and Engineering written by Edward L. Green and published by American Mathematical Soc.. This book was released on 2001 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the proceedings from the research conference, Symbolic Computation: Solving Equations in Algebra, Analysis, and Engineering, held at Mount Holyoke College, USA. It provides an overview of contemporary research in symbolic computation as it applies to the solution of polynomial systems. The conference brought together pure and applied mathematicians, computer scientists, and engineers, who use symbolic computation to solve systems of equations or who develop the theoretical background and tools needed for this purpose. Within this general framework, the conference focused on several themes: systems of polynomials, systems of differential equations, noncommutative systems, and applications.

Quantum Symmetries in Theoretical Physics and Mathematics

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Publisher : American Mathematical Soc.
ISBN 13 : 0821826557
Total Pages : 296 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Quantum Symmetries in Theoretical Physics and Mathematics by : Robert Coquereaux

Download or read book Quantum Symmetries in Theoretical Physics and Mathematics written by Robert Coquereaux and published by American Mathematical Soc.. This book was released on 2002 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents articles from several lectures presented at the school on ``Quantum Symmetries in Theoretical Physics and Mathematics'' held in Bariloche, Argentina. The various lecturers provided significantly different points of view on several aspects of Hopf algebras, quantum group theory, and noncommutative differential geometry, ranging from analysis, geometry, and algebra to physical models, especially in connection with integrable systems and conformal field theories.Primary topics discussed in the text include subgroups of quantum $SU(N)$, quantum ADE classifications and generalized Coxeter systems, modular invariance, defects and boundaries in conformal field theory, finite dimensional Hopf algebras, Lie bialgebras and Belavin-Drinfeld triples, real forms ofquantum spaces, perturbative and non-perturbative Yang-Baxter operators, braided subfactors in operator algebras and conformal field theory, and generalized ($d$) cohomologies.

Orbifolds in Mathematics and Physics

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Publisher : American Mathematical Soc.
ISBN 13 : 0821829904
Total Pages : 370 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Orbifolds in Mathematics and Physics by : Alejandro Adem

Download or read book Orbifolds in Mathematics and Physics written by Alejandro Adem and published by American Mathematical Soc.. This book was released on 2002 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book publishes papers originally presented at a conference on the Mathematical Aspects of Orbifold String Theory, hosted by the University of Wisconsin-Madison. It contains a great deal of information not fully covered in the published literature and showcases the current state of the art in orbital string theory. The subject of orbifolds has a long prehistory, going back to the work of Thurston and Haefliger, with roots in the theory of manifolds, group actions, and foliations. The recent explosion of activity on the topic has been powered by applications of orbifolds to moduli problems and quantum field theory. The present volume presents an interdisciplinary look at orbifold problems. Topics such as stacks, vertex operator algebras, branes, groupoids, K-theory and quantum cohomology are discussed. The book reflects the thinking of distinguished investigators working in the areas of mathematical physics, algebraic geometry, algebraic topology, symplectic geometry and representation theory. By presenting the work of a broad range of mathematicians and physicists who use and study orbifolds, it familiarizes readers with the various points of view and types of results the researchers bring to the subject.