{"product_id":"9780817642402","title":"Structured Matrices and Polynomials: Unified Superfast Algorithms","description":"\u003ch1\u003eStructured Matrices and Polynomials: Unified Superfast Algorithms\u003c\/h1\u003e \u003ch2\u003ePan, Victor Y.\u003c\/h2\u003e \u003cp\u003eStructured matrices serve as a natural bridge between the areas of \nalgebraic computations with polynomials and numerical matrix \ncomputations, allowing cross-fertilization of both fields. This book \ncovers most fundamental numerical and algebraic computations with \nToeplitz, Hankel, Vandermonde, Cauchy, and other popular structured \nmatrices. Throughout the computations, the matrices are represented by \ntheir compressed images, called displacements, enabling both a unified \ntreatment of various matrix structures and dramatic saving of computer \ntime and memory. The resulting superfast algorithms allow further \ndramatic parallel acceleration using FFT and fast sine and cosine \ntransforms. \n     Included are specific applications to other fields, in \nparticular, superfast solutions to: various fundamental problems of \ncomputer algebra; the tangential Nevanlinna--Pick and matrix Nehari \nproblems \n     The primary intended readership for this work includes \nresearchers, algorithm designers, and advanced graduate students in \nthe fields of computations with structured matrices, computer algebra, \nand numerical rational interpolation. The book goes beyond research \nfrontiers and, apart from very recent research articles, includes yet \nunpublished results. \n     To serve a wider audience, the presentation unfolds \nsystematically and is written in a user-friendly engaging style. Only \nsome preliminary knowledge of the fundamentals of linear algebra is \nrequired. This makes the material accessible to graduate students and \nnew researchers who wish to study the rapidly exploding area of \ncomputations with structured matrices and polynomials. Examples, \ntables, figures, exercises, extensive bibliography, and index lend \nthis text to classroom use or self-study.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Birkhäuser\u003c\/p\u003e \u003cp\u003ePublication Date: 2001-06-26\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9780817642402\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-1-4612-0129-8\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 278\u003c\/p\u003e ","brand":"Birkhäuser Boston","offers":[{"title":"Default Title","offer_id":46541711540364,"sku":"9780817642402","price":49.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9780817642402.jpg?v=1775746732","url":"https:\/\/lateknightbooks.com\/products\/9780817642402","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}