Name: Rank Deficient and Discrete Ill-Posed Problems. Numerical Aspects of Linear Inversion (en Inglés)
SKU: 67159630
Price: 2280.79 MXN
Availability: InStock
Author: Per Christian Hansen
ISBN: 9780898714036

portada Rank Deficient and Discrete Ill-Posed Problems. Numerical Aspects of Linear Inversion (en Inglés)

Rank Deficient and Discrete Ill-Posed Problems. Numerical Aspects of Linear Inversion (en Inglés)

Formato

Libro Físico

Editorial

SIAM - Society for Industrial and Applied Mathematics

Autor

Per Christian Hansen

Colección

Mathematical Modeling and Computation

Año

1997

Idioma

Inglés

N° páginas

263

Encuadernación

Tapa Blanda

Dimensiones

22.9x15.2 cm

ISBN13

9780898714036

Rank Deficient and Discrete Ill-Posed Problems. Numerical Aspects of Linear Inversion (en Inglés)

Per Christian Hansen (Autor) · SIAM - Society for Industrial and Applied Mathematics · Tapa Blanda

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Reseña del libro "Rank Deficient and Discrete Ill-Posed Problems. Numerical Aspects of Linear Inversion (en Inglés)"

Presents an overview of modern computational stabilization methods for linear inversion, with applications to a variety of problems in audio processing, medical imaging, tomography, seismology, astronomy, and other areas.

Here is an overview of modern computational stabilization methods for linear inversion, with applications to a variety of problems in audio processing, medical imaging, tomography, seismology, astronomy, and other areas.

Rank-deficient problems involve matrices that are either exactly or nearly rank deficient. Such problems often arise in connection with noise suppression and other problems where the goal is to suppress unwanted disturbances of the given measurements.

Discrete ill-posed problems arise in connection with the numerical treatment of inverse problems, where one typically wants to compute information about some interior properties using exterior measurements. Examples of inverse problems are image restoration and tomography, where one needs to improve blurred images or reconstruct pictures from raw data.

This book describes, in a common framework, new and existing numerical methods for the analysis and solution of rank-deficient and discrete ill-posed problems. The emphasis is on insight into the stabilizing properties of the algorithms and on the efficiency and reliability of the computations. The setting is that of numerical linear algebra rather than abstract functional analysis, and the theoretical development is complemented with numerical examples and figures that illustrate the features of the various algorithms.