Linear inverse problems and Tikhonov regularization / Mark S. Gockenbach.

Format:

Book

Author/Creator:

Gockenbach, Mark S., author.

Series:

Carus mathematical monographs ; no. 32.

Carus Mathematical Monographs, 2637-7535 ; v. 32

Language:

English

Subjects (All):

Inverse problems (Differential equations).

Hilbert space.

Physical Description:

1 online resource (xiii, 321 pages)

Place of Publication:

Washington, DC : The Mathematical Association of America, [2016]

System Details:

Mode of access : World Wide Web

Summary:

"Inverse problems occur frequently in science and technology, whenever we need to infer causes from effects that we can measure. Mathematically, they are difficult problems because they are unstable: small bits of noise in the measurement can completely throw off the solution. Nevertheless, there are methods for finding good approximate solutions. Linear Inverse Problems and Tikhonov Regularization examines one such method: Tikhonov regularization for linear inverse problems defined on Hilbert spaces. This is a clear example of the power of applying deep mathematical theory to solve practical problems."-- Page 4 of cover.

Contents:

Chapter 1. Introduction to inverse problems Chapter 2. Well-posed, ill-posed, and inverse problems Chapter 3. Tikhonov regularization Chapter 4. Compact operators and the singular value expansion Chapter 5. Tikhonov regularization with seminorms

Notes:

Includes bibliographical references (pages 317-318) and index.

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2016

Description based on print version record.

Other Format:

Print version: Gockenbach, Mark S., Linear inverse problems and Tikhonov regularization /

ISBN:

9781614440291 (online)

Access Restriction:

Restricted for use by site license.