Conjugate Gradient Type Methods for Ill-Posed Problems (Chapman & Hall/CRC Research Notes in Mathematics) - Softcover

Buch 16 von 39: Chapman & Hall/CRC Research Notes in Mathematics

Hanke, Martin

 
9780367449117: Conjugate Gradient Type Methods for Ill-Posed Problems (Chapman & Hall/CRC Research Notes in Mathematics)
Softcover
ISBN 10: 0367449110 ISBN 13: 9780367449117
Verlag: Chapman and Hall/CRC, 2019

Inhaltsangabe

The conjugate gradient method is a powerful tool for the iterative solution of self-adjoint operator equations in Hilbert space.This volume summarizes and extends the developments of the past decade concerning the applicability of the conjugate gradient method (and some of its variants) to ill posed problems and their regularization. Such problems occur in applications from almost all natural and technical sciences, including astronomical and geophysical imaging, signal analysis, computerized tomography, inverse heat transfer problems, and many more

This Research Note presents a unifying analysis of an entire family of conjugate gradient type methods. Most of the results are as yet unpublished, or obscured in the Russian literature. Beginning with the original results by Nemirovskii and others for minimal residual type methods, equally sharp convergence results are then derived with a different technique for the classical Hestenes-Stiefel algorithm. In the final chapter some of these results are extended to selfadjoint indefinite operator equations.

The main tool for the analysis is the connection of conjugate gradient
type methods to real orthogonal polynomials, and elementary
properties of these polynomials. These prerequisites are provided in
a first chapter. Applications to image reconstruction and inverse
heat transfer problems are pointed out, and exemplarily numerical
results are shown for these applications.

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Über die Autorin bzw. den Autor

Hanke, Martin

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Verlag
Chapman and Hall/CRC
Erscheinungsdatum
2019
Sprache
Englisch
ISBN 10 
0367449110
ISBN 13 
9780367449117
Einband
Taschenbuch
Auflage
1
Anzahl der Seiten
142
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
Buchpark GmbH
gpsr@buchpark.de

Krügerweg 1
Trebbin
Brandenburg
14959
Deutschland

Weitere beliebte Ausgaben desselben Titels

9780582273702: Conjugate Gradient Type Methods for Ill-Posed Problems (Research Notes in Mathematics, 327, Band 327)

Vorgestellte Ausgabe

ISBN 10:  0582273706 ISBN 13:  9780582273702
Verlag: Taylor & Francis Ltd, 1995
Hardcover