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Algorithms for Toeplitz Matrices with Applications to Image Deblurring: Solving linear equations or linear least squares problems with low displacement rank using the Schur Algorithm - Softcover

Kimitei, Symon

 
9783844314267: Algorithms for Toeplitz Matrices with Applications to Image Deblurring: Solving linear equations or linear least squares problems with low displacement rank using the Schur Algorithm
Softcover
ISBN 10: 3844314261 ISBN 13: 9783844314267
Verlag: LAP LAMBERT Academic Publishing, 2011

Inhaltsangabe

In this thesis, we present the O(n log^2 n) superfast linear least squares Schur algorithm(ssschur). The algorithm we describe illustrates a fast way of solving linear equations or linear least squares problems with low displacement rank. This algorithm is based on the O(n^2) Schur algorithm, sped up via FFT. The algorithm solves an ill-conditioned Toeplitz-like system using Tikhonov regularization. The regularized system solved is Toeplitz-like and is of displacement rank, 4. In this thesis, we also show the effect of the choice of the regularization parameter on the quality of the images reconstructed.

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Über die Autorin bzw. den Autor

Instrucor of Mathematics, Kennesaw State University, 2008 - Present. Instructor of Mathematics, Georgia State University, 2007-2008. Msc. Mathematics, Georgia State University, 2008. Bsc. Mathematics, Kennesaw State University, 1999. Bsc. Computer Science, Kennesaw State University, 1998.

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Verlag
LAP LAMBERT Academic Publishing
Erscheinungsdatum
2011
Sprache
Englisch
ISBN 10 
3844314261
ISBN 13 
9783844314267
Einband
Taschenbuch
Anzahl der Seiten
84
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
SIA OmniScriptum Publishing
customerservice@vdm-vsg.de

Brivibas gatve 197
Riga
1039
Lettland