On sparse approximations of solutions to linear systems with orthogonal matrices

DOI10.18287/2541-7525-2023-29-1-7-14MaRDI QIDQ6057754

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Publication date: 5 October 2023

Published in: Vestnik of Samara University. Natural Science Series (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vsgu692

zbMATH Keywords

normsobjective functionsparse representationspseudonormsminimization of objective functionadmissible error level

Mathematics Subject Classification ID

Analysis of algorithms and problem complexity (68Q25) Numerical linear algebra (65Fxx) Numerical methods for mathematical programming, optimization and variational techniques (65Kxx)

Cites Work

• Processing of sparse signals and mutual coherence of ``measurable vectors
• Finding a Sparse Vector in a Subspace: Linear Sparsity Using Alternating Directions
• Sparse and Redundant Representations
• Sparse Approximate Solutions to Linear Systems
• Optimally sparse representation in general (nonorthogonal) dictionaries via ℓ ¹ minimization
• Stable signal recovery from incomplete and inaccurate measurements
• Regularization by Denoising via Fixed-Point Projection (RED-PRO)
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