Andre A. Keller, "ℓp-Norm Minimization Method for Solving Nonlinear Systems of Equations," WSEAS Transactions on Mathematics, vol. 13, pp. 654-665, 2014, DOI:
Andre A. Keller. ℓp-Norm Minimization Method for Solving Nonlinear Systems of Equations.
WSEAS Transactions on Mathematics. 2014;13:654-665.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 13, 2014
ℓp-Norm Minimization Method for Solving Nonlinear Systems of Equations
Author:
Abstract: Solving nonlinear systems of equations also refers to an optimization problem. Moreover, this equiva- lence can be interpreted as an optimal design problem. We must determine the design variables needed to reduce the deviation between an actual vector of valued functions and a vector of desired constants. This study focuses on these two characteristic features for solving nonlinear systems of equations. One variety of numerical two- dimensional systems with multiple solutions helps demonstrate the effectiveness of the transformation process.
Keywords:
Nonlinear system, least-squares-problem, regularized least-squares, ℓp-norm, Newton’s method
Pages: 654-665 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 13, 2014, Art. #64 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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