On the Completeness of the Compressed Modes in the Eigenspace

Abstract

This note provides a completeness result on the compressed modes introduced in [7, 8]. We prove the fact that for an unbounded Hermitian operator, the sub-eigenspace of spanned by the first M eigenfunctions can be approximated by first N compressed modes with improvable accuracy as N increases, for any fixed regularization parameter mu.

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Document Details

Document Type
Technical Report
Publication Date
Nov 02, 2013
Accession Number
ADA594131

Entities

People

  • Ke Yin
  • Stanley Osher

Organizations

  • University of California, Los Angeles

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Accuracy
  • Algebra
  • Consistency
  • Delta Functions
  • Eigenvalues
  • Eigenvectors
  • Equations
  • Ground State
  • Information Operations
  • Linear Algebra
  • Mathematics
  • Numbers
  • Real Numbers

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  • Linear Algebra