Solving \(N+m\) nonlinear equations with only m nonlinear variables

DOI10.1007/BF02262221zbMath0721.65024MaRDI QIDQ2641079

Yun-Qiu Shen, Tjalling J. Ypma

Publication date: 1990

Published in: Computing (Search for Journal in Brave)

zbMATH Keywords

Newton's methodnull spacenonlinear algebraic equationscontinuous basis

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10)

Related Items

Numerical solution of separable nonlinear equations with a singular matrix at the solution ⋮ Rank deficiencies and bifurcation into affine subspaces for separable parameterized equations ⋮ An efficient algorithm for the separable nonlinear least squares problem ⋮ Solving rank-deficient separable nonlinear equations ⋮ Solving nonlinear systems of equations with only one nonlinear variable ⋮ Solving separable nonlinear equations using LU factorization ⋮ A numerical approach to \(2k+e\) nonlinear equations with only \(k\) nonlinear variables ⋮ Solving separable nonlinear least squares problems using the QR factorization

Cites Work

• Solving nonlinear systems of equations with only one nonlinear variable
• Approximation with one (or few) parameters nonlinear
• Newton's method for constrained optimization
• Continuity of the null space basis and constrained optimization
• On Fitting Exponentials by Nonlinear Least Squares
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