Linear inverse problems : the maximum entropy connection

著者

• Gzyl, Henryk
• Velásquez, Yurayh

書誌事項

Linear inverse problems : the maximum entropy connection

Henryk Gzyl, Yurayh Velásquez

（Series on advances in mathematics for applied sciences, v. 83）

World Scientific, c2011

注記

Includes bibliographical references and index

Some copies without CD-ROM (available in online version on the publisher's website)

内容説明・目次

内容説明

The book describes a useful tool for solving linear inverse problems subject to convex constraints. The method of maximum entropy in the mean automatically takes care of the constraints. It consists of a technique for transforming a large dimensional inverse problem into a small dimensional non-linear variational problem.A variety of mathematical aspects of the maximum entropy method are explored as well.

目次

• A Collection of Linear Inverse Problems
• The Basics about Linear Inverse Problems
• Regularization in Hilbert Spaces
• Maxent and Linear Problems
• Finite Dimensional Problems
• Numerical Examples
• Some Infinite Dimensional Problems
• Tomography and Reconstruction from Marginals
• Inversion of Laplace Transforms
• Maxentropic Characterization of Some Probability Distributions
• An Inverse Problem in Astronomy.

「Nielsen BookData」 より

• NII書誌ID(NCID): BB05706007
• ISBN:
  • 9789814338776
• 出版国コード: us
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: New Jersey
• ページ数/冊数: xxi, 326 p.
• 大きさ: 24 cm.
• 付属資料: 1 CD-ROM
• 分類:
  • DC22 : 515.357
• 件名:
  • LCSH : Inverse problems (Differential equations)
  • LCSH : Maximum entropy method
• 親書誌ID:
  • BA11334635