Publication:
Method of Lagrange Multipliers for Normalized Zero Norm Minimization

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Issued Date

2022

Resource Type

Article

Language

eng

File Type

application/pdf

ISSN

1024123X

DOI

10.1155/2022/8711843

Rights Holder(s)

มหาวิทยาลัยศรีนครินทรวิโรฒ

Bibliographic Citation

Mathematical Problems in Engineering. Vol 2022, No. (2022)

Suggested Citation

Tausiesakul B. Method of Lagrange Multipliers for Normalized Zero Norm Minimization. Mathematical Problems in Engineering. Vol 2022, No. (2022). doi:10.1155/2022/8711843 Retrieved from: https://hdl.handle.net/20.500.14740/10268

Title

Method of Lagrange Multipliers for Normalized Zero Norm Minimization

Author(s)

Tausiesakul B.

Abstract

We present a normalization of the p-norm. A compressive sensing criterion is proposed using the normalized zero norm. Based on the method of Lagrange multipliers, we derive the solution of the proposed optimization framework. It turns out that the new solution is a limit case of the least fractional norm solution for p=0, where its fixed-point iteration algorithm can readily follow an existing algorithm. The derivation of the minimal normalized zero norm solution herein gives a relation in the aspect of Lagrange multiplier method to existing works that invoke least fractional norm and least pseudo zero norm criteria. © 2022 Bamrung Tausiesakul.

Subject(s)

Iterative methods
 Compressive sensing
 Fixed-point iterations
 Iteration algorithms
 Lagrange multiplier method
 Minimisation
 New solutions
 Normalisation
 Optimization framework
 Zero norms
 Lagrange multipliers

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URI

https://hdl.handle.net/20.500.14740/10268

Collections

Scopus: Year 2022

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