{"title":"Tom Lyche","description":null,"products":[{"product_id":"numerical-linear-algebra-and-matrix-factorizations-book-tom-lyche-9783030364670","title":"Numerical Linear Algebra and Matrix Factorizations","description":"After reading this book, students should be able to analyze computational problems in linear algebra such as linear systems, least squares- and eigenvalue problems, and to develop their own algorithms for solving them.     Since these problems can be large and difficult to handle, much can be gained by understanding and taking advantage of special structures. This in turn requires a good grasp of basic numerical linear algebra and matrix factorizations. Factoring a matrix into a product of simpler matrices is a crucial tool in numerical linear algebra, because it allows us to tackle complex problems by solving a sequence of easier ones.     The main characteristics of this book are as follows:     It is self-contained, only assuming that readers have completed first-year calculus and an introductory course on linear algebra, and that they have some experience with solving mathematical problems on a computer. The book provides detailed proofs of virtually all results.Further, its respective parts can be used independently, making it suitable for self-study.     The book consists of 15 chapters, divided into five thematically oriented parts. The chapters are designed for a one-week-per-chapter, one-semester course. To facilitate self-study, an introductory chapter includes a brief review of linear algebra.","brand":"WoB","offers":[{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":50396678160657,"sku":"CIN3030364674VG","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ NEW \/ INGRAM","offer_id":51063528227089,"sku":"NIN9783030364670","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52537049350417,"sku":"NLS9783030364670","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/3030364674.jpg?v=1751030591"},{"product_id":"exercises-in-computational-mathematics-with-matlab-book-tom-lyche-9783662435106","title":"Exercises in Computational Mathematics with MATLAB","description":"Designed to provide tools for independent study, this book contains student-tested mathematical exercises joined with MATLAB programming exercises.  Most chapters open with a review followed by theoretical and programming exercises, with detailed solutions provided for all problems including programs. Many of the MATLAB exercises are presented as Russian dolls: each question improves and completes the previous program and results are provided to validate the intermediate programs.  The book offers useful MATLAB commands, advice on tables, vectors, matrices and basic commands for plotting. It contains material on eigenvalues and eigenvectors and important norms of vectors and matrices including perturbation theory; iterative methods for solving nonlinear and linear equations; polynomial and piecewise polynomial interpolation; Bézier curves; approximations of functions and integrals and more. The last two chapters considers ordinary differential equations including two point boundary value problems, and deal with finite difference methods for some partial differential equations.  The format is designed to assist students working alone, with concise Review paragraphs, Math Hint footnotes on the mathematical aspects of a problem and MATLAB Hint footnotes with tips on programming.","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":50765337624849,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":50765339754769,"sku":"CIN3662435101VG","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":53522340905233,"sku":"NLS9783662435106","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/3662435101.jpg?v=1751252850"},{"product_id":"numerical-linear-algebra-and-matrix-factorizations-book-tom-lyche-9783030364700","title":"Numerical Linear Algebra and Matrix Factorizations","description":"After reading this book, students should be able to analyze computational problems in linear algebra such as linear systems, least squares- and eigenvalue problems, and to develop their own algorithms for solving them.     Since these problems can be large and difficult to handle, much can be gained by understanding and taking advantage of special structures. This in turn requires a good grasp of basic numerical linear algebra and matrix factorizations. Factoring a matrix into a product of simpler matrices is a crucial tool in numerical linear algebra, because it allows us to tackle complex problems by solving a sequence of easier ones.     The main characteristics of this book are as follows:     It is self-contained, only assuming that readers have completed first-year calculus and an introductory course on linear algebra, and that they have some experience with solving mathematical problems on a computer. The book provides detailed proofs of virtually all results.Further, its respective parts can be used independently, making it suitable for self-study.     The book consists of 15 chapters, divided into five thematically oriented parts. The chapters are designed for a one-week-per-chapter, one-semester course. 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To bridge this gap, it is essential to process the theory by solving many exercises, thus obtaining a firmer grasp of its diverse applications. Similarly, from a theoretical perspective, diving into the literature on advanced linear algebra often reveals more and more topics that are deferred to exercises instead of being treated in the main text. As exercises grow more complex and numerous, it becomes increasingly important to provide supporting material and guidelines on how to solve them, supporting students’ learning process.       This book provides precisely this type of supporting material for the textbook “Numerical Linear Algebra and Matrix Factorizations,” published as Vol. 22 of Springer’s Texts in Computational Science and Engineering series. Instead of omitting details or merely providing rough outlines, this book offers detailed proofs, and connects the solutions to the corresponding results in the textbook. For the algorithmic exercises the utmost level of detail is provided in the form of MATLAB implementations. Both the textbook and solutions are self-contained. This book and the textbook are of similar length, demonstrating that solutions should not be considered a minor aspect when learning at advanced levels.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52533746270481,"sku":"NLS9783030597917","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783030597917.jpg?v=1760666095"},{"product_id":"exercises-in-computational-mathematics-with-matlab-book-tom-lyche-9783662524008","title":"Exercises in Computational Mathematics with MATLAB","description":"Designed to provide tools for independent study, this book contains student-tested mathematical exercises joined with MATLAB programming exercises.  Most chapters open with a review followed by theoretical and programming exercises, with detailed solutions provided for all problems including programs.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52542657167633,"sku":"NLS9783662524008","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783662524008.jpg?v=1760689229"},{"product_id":"mathematical-methods-for-curves-and-surfaces-book-michael-floater-9783642116193","title":"Mathematical Methods for Curves and Surfaces","description":"TheSeventhInternationalConferenceonMathematicalMethodsforCurvesand SurfacestookplaceJune26-July 1,2008,inTonsberg,Norway. Theearlier conferences in the series took place in Oslo (1988),Biri (1991), Ulvik (1994), Lillehammer(1997),Oslo(2000),andTromso(2004). Theconferencegathered 165participants fromalmost30countries who presenteda total of129talks. Thisincludesnineinvitedtalksandsevenmini-symposia. Thisbookcontains28originalarticlesbasedontalkspresentedattheconf- ence. Thetopicsrangefrommathematicalanalysisofvariousmethodstoprac- calimplementationonmoderngraphicsprocessingunits. Thepapersre?ectthe newestdevelopmentsinthese?eldsandalsopointtothelatestliterature. The papershavebeensubjecttotheusualpeerreviewprocess,andwethankboth theauthorsandthereviewersfortheirhardworkandhelpfulcollaboration. Wewishtothankthosewhohavesupportedandhelpedorganizetheconf- ence. Firstandforemostitisapleasuretoacknowledgethegenerous?nancial support from the Department of Informatics and the Centre of Mathematics forApplications(CMA)attheUniversityofOslo,andtheResearchCouncilof Norway. WewouldalsoliketothankAndrewMcMurryforhishelpwithwith technicalmatters,andSaraMorkenforhelpwiththeregistration.\nNovember2009 Theeditors Organization Organizing Commitee and Editors MortenDaehlen UniversityofOslo,Norway MichaelFloater UniversityofOslo,Norway TomLyche UniversityofOslo,Norway Jean-LouisMerrien INSAdeRennes,France KnutMorken UniversityofOslo,Norway LarryL. Schumaker VanderbiltUniversity,USA Invited Speakers Jean-DanielBoissonnat,SophiaAntipolis,France MassimoFornasier,Linz,Austria TomHughes,Austin,USA JorgPeters,Gainesville,USA RagniPiene,Oslo,Norway RobertSchaback,Gottingen,Germany PeterSchroder,Caltech,USA JonathanShewchuk,Berkeley,USA JoachimWeickert,Saarland,Germany Mini-Symposia Organizers OlegDavydov,Glasgow,UK TorDokken,Oslo,Norway BinHan,Edmonton,Canada ChuckHansen,SaltLakeCity,USA RimvydasKrasauskas,Vilnius,Lithuania TrondKvamsdal,Trondheim,Norway CarlaManni,Rome,Italy Sponsoring Institutions DepartmentofInformatics,UniversityofOslo CentreofMathematicsforApplications,UniversityofOslo ResearchCouncilofNorway Table of Contents MMCS 2008 Partial Di?erential Equations for Interpolation and Compression of Surfaces ...1 Egil Bae and Joachim Weickert Construction of Rational Curves with Rational Rotation-Minimizing Frames via Mob .. ius Transformations...15 Michael Barton, ?\nBert Juttl .. er, and Wenping Wang Fat Arcs for Implicitly De?ned Curves...26 Szilvia B' ela and Bert Juttl .. er Geometric Properties of the Adaptive Delaunay Tessellation...41 Tom Bobach, Alexandru Constantiniu, Paul Steinmann, and Georg Umlauf Quadrangular Parameterization for Reverse Engineering ...55 David Bommes, Tobias Vossemer, and Leif Kobbelt A Comparison of Three Commodity-Level Parallel Architectures: Multi-core CPU, Cell BE and GPU ...70 Andr' e Rigland Brodtkorb and Trond Runar Hagen Mean Distance from a Curve to Its Control Polygon...81 Jesu 's Carnicer and Jorge Delgado Compactly Supported Splines with Tension Properties on a Three-Direction Mesh ...","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52664896487697,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52664897667345,"sku":"NLS9783642116193","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783642116193.jpg?v=1762275858"}],"url":"https:\/\/www.worldofbooks.com\/en-gb\/collections\/author-books-by-tom-lyche.oembed","provider":"World of Books ","version":"1.0","type":"link"}