1.

Record Nr.

UNINA9910824926903321

Autore

Ford William H.

Titolo

Numerical linear algebra with applications : using matlab / / by William Ford

Pubbl/distr/stampa

London, England : , : Academic Press, , 2015

©2015

ISBN

0-12-394784-7

Edizione

[First edition.]

Descrizione fisica

1 online resource (629 p.)

Classificazione

ST 601

SK 220

ST 601 M35

Disciplina

512.5

Soggetti

Algebras, Linear - Data processing

Engineering mathematics - Data processing

Problems and exercises.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Front Cover; Numerical Linear Algebra with Applications; Copyright; Dedication; Contents; List of Figures; List of Algorithms; Preface; Matrices; Matrix Arithmetic; Matrix Product; The Trace; MATLAB Examples; Linear Transformations; Rotations; Powers of Matrices; Nonsingular Matrices; The Matrix Transpose and Symmetric Matrices; Chapter Summary; Problems; MATLAB Problems; Linear Equations; Introduction to Linear Equations; Solving Square Linear Systems; Gaussian Elimination; Upper-Triangular Form; Systematic Solution of Linear Systems; Computing the Inverse; Homogeneous Systems

Application: A TrussApplication: Electrical Circuit; Chapter Summary; Problems; MATLAB Problems; Subspaces; Introduction; Subspaces of Rn; Linear Independence; Basis of a Subspace; The Rank of a Matrix; Chapter Summary; Problems; MATLAB Problems; Determinants; Developing the Determinant of a 2bold0mu mumu section2 and a 3bold0mu mumu section3 Matrix; Expansion by Minors; Computing a Determinant Using Row Operations; Application: Encryption; Chapter Summary; Problems; MATLAB Problems; Eigenvalues and Eigenvectors; Definitions and Examples; Selected Properties of Eigenvalues and



Eigenvectors

DiagonalizationPowers of Matrices; Applications; Electric Circuit; Irreducible Matrices; Ranking of Teams Using Eigenvectors; Computing Eigenvalues and Eigenvectors using MATLAB; Chapter Summary; Problems; MATLAB Problems; Orthogonal Vectors and Matrices; Introduction; The Inner Product; Orthogonal Matrices; Symmetric Matrices and Orthogonality; The L2 Inner Product; The Cauchy-Schwarz Inequality; Signal Comparison; Chapter Summary; Problems; MATLAB Problems; Vector and Matrix Norms; Vector Norms; Properties of the 2-Norm; Spherical Coordinates; Matrix Norms; The Frobenius Matrix Norm

Induced Matrix NormsSubmultiplicative Matrix Norms; Computing the Matrix 2-Norm; Properties of the Matrix 2-Norm; Chapter Summary; Problems; MATLAB Problems; Floating Point Arithmetic; Integer Representation; Floating-Point Representation; Mapping from Real Numbers to Floating-Point Numbers; Floating-Point Arithmetic; Relative Error; Rounding Error Bounds; Addition; Multiplication; Matrix Operations; Minimizing Errors; Avoid Adding a Huge Number to a Small Number; Avoid Subtracting Numbers That Are Close; Chapter Summary; Problems; MATLAB Problems; Algorithms; Pseudocode Examples

Inner Product of Two VectorsComputing the Frobenius Norm; Matrix Multiplication; Block Matrices; Algorithm Efficiency; Smaller Flop Count Is Not Always Better; Measuring Truncation Error; The Solution to Upper and Lower Triangular Systems; Efficiency Analysis; The Thomas Algorithm; Efficiency Analysis; Chapter Summary; Problems; MATLAB Problems; Conditioning of Problems and Stability of Algorithms; Why Do We Need Numerical Linear Algebra?; Computation Error; Forward Error; Backward Error; Algorithm Stability; Examples of Unstable Algorithms; Conditioning of a Problem

Perturbation Analysis for Solving a Linear System

Sommario/riassunto

Designed for those who want to gain a practical knowledge of modern computational techniques for the numerical solution of linear algebra problems, Numerical Linear Algebra with Applications contains all the material necessary for a first year graduate or advanced undergraduate course on numerical linear algebra with numerous applications to engineering and science.   With a unified presentation of computation, basic algorithm analysis, and numerical methods to compute solutions, this book is ideal for solving real-world problems. It provides necessary mathematical background information for



2.

Record Nr.

UNINA9910830285603321

Titolo

ICT futures : delivering pervasive, real-time and secure services / / edited by Paul Warren, John Davies and David Brown

Pubbl/distr/stampa

Chichester, England ; , : Wiley, , c2008

[Piscataqay, New Jersey] : , : IEEE Xplore, , [2008]

ISBN

1-282-34349-1

9786612343490

0-470-75865-1

0-470-75866-X

Descrizione fisica

1 online resource (270 p.)

Altri autori (Persone)

WarrenPaul (Paul W.)

DaviesJ (N. John)

BrownDavid <1954->

Disciplina

384

Soggetti

Telecommunication - Technological innovations - Forecasting

Computer networks - Security measures - Forecasting

Electronic commerce - Forecasting

Internet - Social aspects - Forecasting

Web sites - Forecasting

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Editor Biographies. -- List of Contributors. -- Foreword. -- Introduction. -- Part One: People and Technology. -- 1. Predicting the Socio-technical Future (and Other Myths) (Ben Anderson and Paul Stoneman). -- 2. Social Networks, Social Computing and Knowledge Management (Nicholas J. Kings, John Davies, David Verrill, Sinan Aral, Erik Brynjolfsson and Marshall van Alstyne). -- 3. Device Futures (Jonathan Mitchener). -- 4. Online Trust and Customer Power: The Emergence of Customer Advocacy (Glen L. Urban). -- Part Two: Building the Infrastructure. -- 5. The Semantic Web - From Vision to Reality (Paul Warren and John Davies). -- 6. Flexible ICT Infrastructure (Mike Fisher and Paul McKee). -- 7. Achieving Security in Enterprise IT (Theo Dimitrakos and Ivan Djordjevic). -- 8. The Future All Optical Network -



Why We Need It and How We Get There (David Payne). -- 9. End-to-End Service Level Agreements for Complex ICT Solutions (John Wittgreffe, Mark Dames, Jon Clark and James McDonald). -- 10. Mobility and ICT (Richard Dennis and Dave Wisely). -- 11. Pervasive Computing (David Heatley, George Bilchev and Richard Tateson). -- 12. Artificial Intelligence Comes of Age (Simon Thompson). -- Part Three: Applying Technology. -- 13. Healthcare (Chris Wroe, Paul Garner and Janette Bennett). -- 14. Supply Chain Management in the Retail Sector (Edgar E. Blanco and Chris Caplice). -- 15. Technology Innovation in Global Financial Markets (Lesley Gavin) -- 16. Technology and Law: The Not So Odd Couple (Marta Poblet, Pompeu Casanovas and Richard Benjamins). -- Part Four: Final Words. -- 17. Over the Horizon (Ian Pearson). -- 18. Conclusions (Paul Warren, John Davies and David Brown). -- Index.

Sommario/riassunto

"This book will inspire people and enable them to use the insight it provides to build on and exploit the changing IT landscape, in the spirit of open innovation." - Matt Bross, Group Chief Technology Officer, BT Learn all about the major trends and future advancements in ICT! ICT futures provides an insightful introduction to the major technology trends in Information and Communication Technologies (ICT), and to the economic, commercial and societal environment which is shaping them. The experienced author-team, consisting of experts from both industry and academia, addresses: . The interaction between people and technology - how ICT affects every day social practices; the rise of social computing; how the way we interact with information and the devices we use are changing; and how trust can be assured over the Internet. . The underlying ICT infrastructure - the semantic web and the semantic intranet; the real-time service-oriented infrastructure; the future optical network; self-managing networks and agents; P2P technologies; pervasiveness; mobility and wireless technology; and how the infrastructure can be made secure. . ICT technology and how it is affecting industries as diverse as health, finance, retail and law. The book covers a vast wealth of material, with a strong focus upon the impending changes to the way ICT operates. This reference is a valuable tool for people in managerial roles, CIOs, CTOs, business and technology strategists, and students undertaking technology MBAs, or technology modules in general MBAs. Professionals working in ICT will also find this book valuable.