Optimal correction of infeasible equations system as Ax + B|x|= b using ℓ p-norm regularization
DOI10.5269/bspm.44437OpenAlexW4200151169MaRDI QIDQ6189495
Fakhrodin Hashemi, Saeed Ketabchi
Publication date: 8 February 2024
Published in: Boletim da Sociedade Paranaense de Matemática (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.5269/bspm.44437
difference of convex optimizationnon-convex and non-smooth optimization\(\ell_p\)-norm regularization methodinfeasible absolute value equalitiesinfeasiblity linear equalities
Convex programming (90C25) Nonconvex programming, global optimization (90C26) Nonlinear programming (90C30) Linear ordinary differential equations and systems in the complex domain (34M03)
Cites Work
- An efficient method for optimal correcting of absolute value equations by minimal changes in the right hand side
- Smoothing methods for nonsmooth, nonconvex minimization
- Absolute value programming
- On optimal zero-preserving corrections for inconsistent linear systems
- Accelerating the DC algorithm for smooth functions
- Optimal error correction and methods of feasible directions
- \(l_{p}\)-norm regularization method (\( 0<p<1 \)) and DC programming for correction system of inconsistency linear inequalities
- A reformulation-linearization-convexification algorithm for optimal correction of an inconsistent system of linear constraints
- On linear infeasibility arising in intensity-modulated radiation therapy inverse planning
- Tikhonov regularization for infeasible absolute value equations
- Parametric approach for correcting inconsistent linear equality system
- Lower Bound Theory of Nonzero Entries in Solutions of $\ell_2$-$\ell_p$ Minimization
- Smoothing Nonlinear Conjugate Gradient Method for Image Restoration Using Nonsmooth Nonconvex Minimization
- A simple proof of the Rademacher theorem
- A theorem of the alternatives for the equationAx+B|x| =b
- A regularized projection method for complementarity problems with non-Lipschitzian functions
- On the Solution of the Tikhonov Regularization of the Total Least Squares Problem
- On Nonlinear Fractional Programming
- Benchmarking optimization software with performance profiles.
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