Numerical Linear Algebra: Theory and Applications (Hardcover)

Larisa Beilina

ISBN 10: 3319573020 / ISBN 13: 9783319573021

Verlag: Springer International Publishing AG, Cham, 2018

Beschreibung

Hardcover. This book combines a solid theoretical background in linear algebra with practical algorithms for numerical solution of linear algebra problems. Developed from a number of courses taught repeatedly by the authors, the material covers topics like matrix algebra, theory for linear systems of equations, spectral theory, vector and matrix norms combined with main direct and iterative numerical methods, least squares problems, and eigenproblems. Numerical algorithms illustrated by computer programs written in MATLAB are also provided as supplementary material on SpringerLink to give the reader a better understanding of professional numerical software for the solution of real-life problems. Perfect for a one- or two-semester course on numerical linear algebra, matrix computation, and large sparse matrices, this text will interest students at the advanced undergraduate or graduate level. This book combines a solid theoretical background in linear algebra with practical algorithms for numerical solution of linear algebra problems. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Bestandsnummer des Verkäufers 9783319573021

Bibliografische Details

Titel: Numerical Linear Algebra: Theory and ...

Verlag: Springer International Publishing AG, Cham

Erscheinungsdatum: 2018

Einband: Hardcover

Zustand: new

Auflage: 1. Auflage

Über diesen Titel

Inhaltsangabe:

<DIV>THIS BOOK COMBINES A SOLID THEORETICAL BACKGROUND IN LINEAR ALGEBRA WITH PRACTICAL ALGORITHMS FOR NUMERICAL SOLUTION OF LINEAR ALGEBRA PROBLEMS. DEVELOPED FROM A NUMBER OF COURSES TAUGHT REPEATEDLY BY THE AUTHORS, THE MATERIAL COVERS TOPICS LIKE MATRIX ALGEBRA, THEORY FOR LINEAR SYSTEMS OF EQUATIONS, SPECTRAL THEORY, VECTOR AND MATRIX NORMS COMBINED WITH MAIN DIRECT AND ITERATIVE NUMERICAL METHODS, LEAST SQUARES PROBLEMS, AND EIGENPROBLEMS. NUMERICAL ALGORITHMS ILLUSTRATED BY COMPUTER PROGRAMS WRITTEN IN MATLAB ARE ALSO PROVIDED AS SUPPLEMENTARY MATERIAL ON SPRINGERLINK TO GIVE THE READER A BETTER UNDERSTANDING OF PROFESSIONAL NUMERICAL SOFTWARE FOR THE SOLUTION OF REAL-LIFE PROBLEMS. PERFECT FOR A ONE- OR TWO-SEMESTER COURSE ON NUMERICAL LINEAR ALGEBRA, MATRIX COMPUTATION, AND LARGE SPARSE MATRICES, THIS TEXT WILL INTEREST STUDENTS AT THE ADVANCED UNDERGRADUATE OR GRADUATE LEVEL.</DIV>

Críticas:

 “It provides a rock-solid theoretical background in a very approachable manner, a good overview of classical algorithms of numerical linear algebra and a good framework and guidance for numerical experiments.” (Cyril Fischer, zbMATH 1396.65001, 2018)