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Almost Strictly Totally Positive Matrices
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Book Synopsis Totally Positive Matrices by : Allan Pinkus
Download or read book Totally Positive Matrices written by Allan Pinkus and published by Cambridge University Press. This book was released on 2010 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: This account of totally positive matrices treats their central properties with full proofs and a complete bibliography.
Book Synopsis Totally Nonnegative Matrices by : Shaun M. Fallat
Download or read book Totally Nonnegative Matrices written by Shaun M. Fallat and published by Princeton University Press. This book was released on 2022-12-13 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Totally nonnegative matrices arise in a remarkable variety of mathematical applications. This book is a comprehensive and self-contained study of the essential theory of totally nonnegative matrices, defined by the nonnegativity of all subdeterminants. It explores methodological background, historical highlights of key ideas, and specialized topics. The book uses classical and ad hoc tools, but a unifying theme is the elementary bidiagonal factorization, which has emerged as the single most important tool for this particular class of matrices. Recent work has shown that bidiagonal factorizations may be viewed in a succinct combinatorial way, leading to many deep insights. Despite slow development, bidiagonal factorizations, along with determinants, now provide the dominant methodology for understanding total nonnegativity. The remainder of the book treats important topics, such as recognition of totally nonnegative or totally positive matrices, variation diminution, spectral properties, determinantal inequalities, Hadamard products, and completion problems associated with totally nonnegative or totally positive matrices. The book also contains sample applications, an up-to-date bibliography, a glossary of all symbols used, an index, and related references.
Book Synopsis Total Positivity and Its Applications by : Mariano Gasca
Download or read book Total Positivity and Its Applications written by Mariano Gasca and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains both invited lectures and contributed talks presented at the meeting on Total Positivity and its Applications held at the guest house of the University of Zaragoza in Jaca, Spain, during the week of September 26-30, 1994. There were present at the meeting almost fifty researchers from fourteen countries. Their interest in thesubject of Total Positivity made for a stimulating and fruitful exchange of scientific information. Interest to participate in the meeting exceeded our expectations. Regrettably, budgetary constraints forced us to restriet the number of attendees. Professor S. Karlin, of Stanford University, who planned to attend the meeting had to cancel his participation at the last moment. Nonetheless, his almost universal spiritual presence energized and inspired all of us in Jaca. More than anyone, he influenced the content, style and quality of the presentations given at the meeting. Every article in these Proceedings (except some by Karlin hirnself) references his influential treatise Total Positivity, Volume I, Stanford University Press, 1968. Since its appearance, this book has intrigued and inspired the minds of many researchers (one of us, in his formative years, read the galley proofs and the other of us first doubted its value but then later became its totally committed disciple). All of us present at the meeting encourage Professor Karlin to return to the task of completing the anxiously awaited Volume 11 of Total Positivity.
Book Synopsis Approximation Theory, Wavelets and Applications by : S.P. Singh
Download or read book Approximation Theory, Wavelets and Applications written by S.P. Singh and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approximation Theory, Wavelets and Applications draws together the latest developments in the subject, provides directions for future research, and paves the way for collaborative research. The main topics covered include constructive multivariate approximation, theory of splines, spline wavelets, polynomial and trigonometric wavelets, interpolation theory, polynomial and rational approximation. Among the scientific applications were de-noising using wavelets, including the de-noising of speech and images, and signal and digital image processing. In the area of the approximation of functions the main topics include multivariate interpolation, quasi-interpolation, polynomial approximation with weights, knot removal for scattered data, convergence theorems in Padé theory, Lyapunov theory in approximation, Neville elimination as applied to shape preserving presentation of curves, interpolating positive linear operators, interpolation from a convex subset of Hilbert space, and interpolation on the triangle and simplex. Wavelet theory is growing extremely rapidly and has applications which will interest readers in the physical, medical, engineering and social sciences.
Book Synopsis Trends in Differential Equations and Applications by : Francisco Ortegón Gallego
Download or read book Trends in Differential Equations and Applications written by Francisco Ortegón Gallego and published by Springer. This book was released on 2016-06-09 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work collects the most important results presented at the Congress on Differential Equations and Applications/Congress on Applied Mathematics (CEDYA/CMA) in Cádiz (Spain) in 2015. It supports further research in differential equations, numerical analysis, mechanics, control and optimization. In particular, it helps readers gain an overview of specific problems of interest in the current mathematical research related to different branches of applied mathematics. This includes the analysis of nonlinear partial differential equations, exact solutions techniques for ordinary differential equations, numerical analysis and numerical simulation of some models arising in experimental sciences and engineering, control and optimization, and also trending topics on numerical linear Algebra, dynamical systems, and applied mathematics for Industry. This volume is mainly addressed to any researcher interested in the applications of mathematics, especially in any subject mentioned above. It may be also useful to PhD students in applied mathematics, engineering or experimental sciences.
Book Synopsis Shape Preserving Representations in Computer-aided Geometric Design by : Juan M. Peña
Download or read book Shape Preserving Representations in Computer-aided Geometric Design written by Juan M. Peña and published by Nova Publishers. This book was released on 1999 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents recent important advances in the field of computer-aided geometric design in the study of shape-preserving representations of curves and surfaces. The volume's dozen papers are organized into five sections on: shape preserving representations of curves, optimality of B-bases, blossoming and geometric approach, shape preserving representations of surfaces, and trigonometric bases for the representation of curves and surfaces. The index spans the admissible (in design algorithms for spline curves) to the weak Chebyshev space and system. Contributors hail from six European countries. Annotation copyrighted by Book News, Inc., Portland, OR
Book Synopsis SIAM Journal on Matrix Analysis and Applications by :
Download or read book SIAM Journal on Matrix Analysis and Applications written by and published by . This book was released on 2007 with total page 960 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Copositive And Completely Positive Matrices by : Naomi Shaked-monderer
Download or read book Copositive And Completely Positive Matrices written by Naomi Shaked-monderer and published by World Scientific. This book was released on 2021-02-09 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an updated and extended version of Completely Positive Matrices (Abraham Berman and Naomi Shaked-Monderer, World Scientific 2003). It contains new sections on the cone of copositive matrices, which is the dual of the cone of completely positive matrices, and new results on both copositive matrices and completely positive matrices.The book is an up to date comprehensive resource for researchers in Matrix Theory and Optimization. It can also serve as a textbook for an advanced undergraduate or graduate course.
Book Synopsis Completely Positive Matrices by : Abraham Berman
Download or read book Completely Positive Matrices written by Abraham Berman and published by World Scientific. This book was released on 2003 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: A real matrix is positive semidefinite if it can be decomposed as A=BBT. In some applications the matrix B has to be elementwise nonnegative. If such a matrix exists, A is called completely positive. The smallest number of columns of a nonnegative matrix B such that A=BBT is known as the cp-rank of A. This invaluable book focuses on necessary conditions and sufficient conditions for complete positivity, as well as bounds for the cp-rank. The methods are combinatorial, geometric and algebraic. The required background on nonnegative matrices, cones, graphs and Schur complements is outlined.
Book Synopsis Multivariate Approximation and Splines by : Günther Nürnberger
Download or read book Multivariate Approximation and Splines written by Günther Nürnberger and published by Birkhäuser. This book was released on 2012-12-06 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the refereed papers which were presented at the interna tional conference on "Multivariate Approximation and Splines" held in Mannheim, Germany, on September 7-10,1996. Fifty experts from Bulgaria, England, France, Israel, Netherlands, Norway, Poland, Switzerland, Ukraine, USA and Germany participated in the symposium. It was the aim of the conference to give an overview of recent developments in multivariate approximation with special emphasis on spline methods. The field is characterized by rapidly developing branches such as approximation, data fit ting, interpolation, splines, radial basis functions, neural networks, computer aided design methods, subdivision algorithms and wavelets. The research has applications in areas like industrial production, visualization, pattern recognition, image and signal processing, cognitive systems and modeling in geology, physics, biology and medicine. In the following, we briefly describe the contents of the papers. Exact inequalities of Kolmogorov type which estimate the derivatives of mul the paper of BABENKO, KOFANovand tivariate periodic functions are derived in PICHUGOV. These inequalities are applied to the approximation of classes of mul tivariate periodic functions and to the approximation by quasi-polynomials. BAINOV, DISHLIEV and HRISTOVA investigate initial value problems for non linear impulse differential-difference equations which have many applications in simulating real processes. By applying iterative techniques, sequences of lower and upper solutions are constructed which converge to a solution of the initial value problem.
Book Synopsis Recent Research on Pure and Applied Algebra by : Omar Pordavi
Download or read book Recent Research on Pure and Applied Algebra written by Omar Pordavi and published by Nova Publishers. This book was released on 2003 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume gathers results in pure and applied algebra from researchers around the globe. The selection of these papers was carried out under the auspices of a special editorial board.
Book Synopsis Wavelets, Images, and Surface Fitting by : Pierre-Jean Laurent
Download or read book Wavelets, Images, and Surface Fitting written by Pierre-Jean Laurent and published by CRC Press. This book was released on 1994-07-15 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume documents the results and presentations relating to the use of wavelet theory and other methods in surface fitting and image reconstruction of the Second International Conference on Curves and Surfaces, held in Chamonix in 1993. The papers represent directions for future research and development in many areas of application.
Book Synopsis Computational Mathematics, Numerical Analysis and Applications by : Mariano Mateos
Download or read book Computational Mathematics, Numerical Analysis and Applications written by Mariano Mateos and published by Springer. This book was released on 2017-08-03 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first part of this volume gathers the lecture notes of the courses of the “XVII Escuela Hispano-Francesa”, held in Gijón, Spain, in June 2016. Each chapter is devoted to an advanced topic and presents state-of-the-art research in a didactic and self-contained way. Young researchers will find a complete guide to beginning advanced work in fields such as High Performance Computing, Numerical Linear Algebra, Optimal Control of Partial Differential Equations and Quantum Mechanics Simulation, while experts in these areas will find a comprehensive reference guide, including some previously unpublished results, and teachers may find these chapters useful as textbooks in graduate courses. The second part features the extended abstracts of selected research work presented by the students during the School. It highlights new results and applications in Computational Algebra, Fluid Mechanics, Chemical Kinetics and Biomedicine, among others, offering interested researchers a convenient reference guide to these latest advances.
Book Synopsis Encyclopaedia of Mathematics by : Michiel Hazewinkel
Download or read book Encyclopaedia of Mathematics written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first Supplementary volume to Kluwer's highly acclaimed Encyclopaedia of Mathematics. This additional volume contains nearly 600 new entries written by experts and covers developments and topics not included in the already published 10-volume set. These entries have been arranged alphabetically throughout. A detailed index is included in the book. This Supplementary volume enhances the existing 10-volume set. Together, these eleven volumes represent the most authoritative, comprehensive up-to-date Encyclopaedia of Mathematics available.
Book Synopsis Handbook of Discrete and Combinatorial Mathematics by : Kenneth H. Rosen
Download or read book Handbook of Discrete and Combinatorial Mathematics written by Kenneth H. Rosen and published by CRC Press. This book was released on 2017-10-19 with total page 1611 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Discrete and Combinatorial Mathematics provides a comprehensive reference volume for mathematicians, computer scientists, engineers, as well as students and reference librarians. The material is presented so that key information can be located and used quickly and easily. Each chapter includes a glossary. Individual topics are covered in sections and subsections within chapters, each of which is organized into clearly identifiable parts: definitions, facts, and examples. Examples are provided to illustrate some of the key definitions, facts, and algorithms. Some curious and entertaining facts and puzzles are also included. Readers will also find an extensive collection of biographies. This second edition is a major revision. It includes extensive additions and updates. Since the first edition appeared in 1999, many new discoveries have been made and new areas have grown in importance, which are covered in this edition.
Download or read book Mathematical Reviews written by and published by . This book was released on 2007 with total page 776 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis n-Widths in Approximation Theory by : A. Pinkus
Download or read book n-Widths in Approximation Theory written by A. Pinkus and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: My original introduction to this subject was through conservations, and ultimate ly joint work with C. A. Micchelli. I am grateful to him and to Profs. C. de Boor, E. W. Cheney, S. D. Fisher and A. A. Melkman who read various portions of the manuscript and whose suggestions were most helpful. Errors in accuracy and omissions are totally my responsibility. I would like to express my appreciation to the SERC of Great Britain and to the Department of Mathematics of the University of Lancaster for the year spent there during which large portions of the manuscript were written, and also to the European Research Office of the U.S. Army for its financial support of my research endeavors. Thanks are also due to Marion Marks who typed portions of the manuscript. Haifa, 1984 Allan Pinkus Table of Contents 1 Chapter I. Introduction . . . . . . . . Chapter II. Basic Properties of n-Widths . 9 1. Properties of d • • • • • • • • • • 9 n 15 2. Existence of Optimal Subspaces for d • n n 17 3. Properties of d • • • • • • 20 4. Properties of b • • • • • • n 5. Inequalities Between n-Widths 22 n 6. Duality Between d and d • • 27 n 7. n-Widths of Mappings of the Unit Ball 29 8. Some Relationships Between dn(T), dn(T) and bn(T) . 32 37 Notes and References . . . . . . . . . . . . . .
