Discrete Iterations: A Metric Study: 6 (Springer Series in Computational Mathematics) - Tapa blanda

Robert, Francois

 
9783642648823: Discrete Iterations: A Metric Study: 6 (Springer Series in Computational Mathematics)
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ISBN 10: 3642648827 ISBN 13: 9783642648823
Editorial: Springer, 2011

Sinopsis

a c 9 h In presenting this monograph, I would like to indicate both its orientation as well as my personal reasons for being interested in discrete iterations (that is, iterations on a generally very large,jinite set). While working in numerical analysis I have been interested in two main aspects: - the algorithmic aspect: an iterative algorithm is a mathematical entity which behaves in a dynamic fashion. Even if it is started far from a solution, it will often tend to get closer and closer. - the mathematical aspect: this consists of a coherent and rigorous analy­ sis of convergence, with the aid of mathematical tools (these tools are mainly the use of norms for convergence proofs, the use of matrix algebra and so on). One may for example refer to the algorithmic and mathematical aspects of Newton’s method in JRn as well as to the QR algorithm for eigenvalues of matrices. These two algorithms seem to me to be the most fascinating algorithms in numerical analysis, since both show a remarkable practical efficiency even though there exist relatively few global convergence results for them.

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Reseña del editor

a c 9 h In presenting this monograph, I would like to indicate both its orientation as well as my personal reasons for being interested in discrete iterations (that is, iterations on a generally very large,jinite set). While working in numerical analysis I have been interested in two main aspects: - the algorithmic aspect: an iterative algorithm is a mathematical entity which behaves in a dynamic fashion. Even if it is started far from a solution, it will often tend to get closer and closer. - the mathematical aspect: this consists of a coherent and rigorous analy­ sis of convergence, with the aid of mathematical tools (these tools are mainly the use of norms for convergence proofs, the use of matrix algebra and so on). One may for example refer to the algorithmic and mathematical aspects of Newton's method in JRn as well as to the QR algorithm for eigenvalues of matrices. These two algorithms seem to me to be the most fascinating algorithms in numerical analysis, since both show a remarkable practical efficiency even though there exist relatively few global convergence results for them.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
2011
Idioma
Inglés
ISBN 10 
3642648827
ISBN 13 
9783642648823
Encuadernación
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Número de páginas
220
Contacto del fabricante
ProductSafety@springernature.com
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Darmstadt
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Alemania

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9783540136231: Discrete Iterations: A Metric Study: 6 (Springer Series in Computational Mathematics)

Edición Destacada

ISBN 10:  3540136231 ISBN 13:  9783540136231
Editorial: Springer-Verlag Berlin and Heide..., 1986
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