Numerical Linear Algebra and Optimization

Philip E. Gill · Walter Murray · Margaret H. Wright

mai 2021 · Classics in Applied Mathematics Bok 83 · SIAM

E-bok

448

Sider

Kvalifisert

Vurderinger og anmeldelser blir ikke kontrollert Finn ut mer

Om denne e-boken

This classic volume covers the fundamentals of two closely related topics: linear systems (linear equations and least-squares) and linear programming (optimizing a linear function subject to linear constraints). For each problem class, stable and efficient numerical algorithms intended for a finite-precision environment are derived and analyzed. While linear algebra and optimization have made huge advances since this book first appeared in 1991, the fundamental principles have not changed.

These topics were rarely taught with a unified perspective, and, somewhat surprisingly, this remains true 30 years later. As a result, some of the material in this book can be difficult to find elsewhere—in particular, techniques for updating the LU factorization, descriptions of the simplex method applied to all-inequality form, and the analysis of what happens when using an approximate inverse to solve Ax=b.

Numerical Linear Algebra and Optimization is primarily a reference for students who want to learn about numerical techniques for solving linear systems and/or linear programming using the simplex method; however, Chapters 6, 7, and 8 can be used as the text for an upper-division course on linear least squares and linear programming. Understanding is enhanced by numerous exercises.

Vurder denne e-boken

Fortell oss hva du mener.

Hvordan lese innhold

Smarttelefoner og nettbrett

Installer Google Play Bøker-appen for Android og iPad/iPhone. Den synkroniseres automatisk med kontoen din og lar deg lese både med og uten nett – uansett hvor du er.

Datamaskiner

Du kan lytte til lydbøker du har kjøpt på Google Play, i nettleseren på datamaskinen din.

Lesebrett og andre enheter

For å lese på lesebrett som Kobo eReader må du laste ned en fil og overføre den til enheten din. Følg den detaljerte veiledningen i brukerstøtten for å overføre filene til støttede lesebrett.

Rapporter ulovlig innhold