Könyv Algorithms for Large Scale Linear Algebraic Systems: Gabriel Winter Althaus

Algorithms for Large Scale Linear Algebraic Systems:

Applications in Science and Engineering

Nyelv: Angol
Kötés: Kemény kötésű
Kiadó: Springer
Elérhetőség: Beszállítói készleten
Küldés 10-13 napon belül
84 663 Ft
An overview of the most successful algorithms and techniques for solving large, sparse systems of eq...

Információk a könyvről

Nyelv
Angol
Kötés
Könyv - Kemény kötésű
Kiadva
1998
oldal
410
EAN
9780792349754
ISBN
079234975X
Enbook ID
01395642
Kiadó
Súly
1700
Méretek
156 x 234 x 28

Teljes leírás

An overview of the most successful algorithms and techniques for solving large, sparse systems of equations and some algorithms and strategies for solving optimization problems. The most important topics dealt with concern iterative methods, especially Krylov methods, ordering techniques, and some iterative optimization tools. The book is a compendium of theoretical and numerical methods for solving large algebraic systems, special emphasis being placed on convergence and numerical behaviour as affected by rounding errors, accuracy in computing solutions for ill-conditioned matrices, preconditioning effectiveness, ordering procedures, stability factors, hybrid procedures and stopping criteria. Recent advances in numerical matrix calculations are presented, especially methods to accelerate the solution of symmetric and unsymmetric linear systems. Convergence analysis of the multi-grid method using a posteriori error estimation in second order elliptic equations are presented. Some inverse problems are also included. Evolution based software is described, such as genetic algorithms and evolution strategies, relations and class hierarchising to improve the exploration of large search spaces and finding near-global optima. Recent developments in messy genetic algorithms are also described. The tutorial nature of the book makes it suitable for mathematicians, computer scientists, engineers and postgraduates.

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