Convergence and uniqueness properties of Gauss-Newton's method
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Publication:1767824
DOI10.1016/S0898-1221(04)90086-7zbMath1076.65053MaRDI QIDQ1767824
Chong Li, Wen-Hong Zhang, Xiao-qing Jin
Publication date: 8 March 2005
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
convergence ballnonlinear least squares problemuniqueness ballGauss-Newton's methodLipschitz conditions with \(L\) average
Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)
Related Items (20)
On iterative computation of fixed points and optimization ⋮ Inexact Gauss-Newton like methods for injective-overdetermined systems of equations under a majorant condition ⋮ Newton's Method for Underdetermined Systems of Equations Under the γ-Condition ⋮ Approximate Gauss-Newton methods for solving underdetermined nonlinear least squares problems ⋮ Convergence analysis of the Gauss-Newton-type method for Lipschitz-like mappings ⋮ Convergence analysis of a proximal Gauss-Newton method ⋮ Improved local convergence analysis of inexact Gauss-Newton like methods under the majorant condition in Banach spaces ⋮ Local convergence analysis of the Gauss-Newton method under a majorant condition ⋮ A Gauss-Newton method for mixed least squares-total least squares problems ⋮ The convergence analysis of inexact Gauss-Newton methods for nonlinear problems ⋮ Extending the applicability of the Gauss-Newton method under average Lipschitz-type conditions ⋮ Convergence criterion of Newton's method for singular systems with constant rank derivatives ⋮ Kantorovich's type theorems for systems of equations with constant rank derivatives ⋮ Convergence analysis of extended Hummel-Seebeck-type method for solving variational inclusions ⋮ Local convergence of the Gauss-Newton method for injective-overdetermined systems of equations under a majorant condition ⋮ On the solution of systems of equations with constant rank derivatives ⋮ Convergence behavior of Gauss-Newton's method and extensions of the Smale point estimate theory ⋮ Improved local convergence analysis of inexact Newton-like methods under the majorant condition ⋮ Local convergence analysis of inexact Gauss-Newton like methods under majorant condition ⋮ Improved local convergence analysis of the Gauss-Newton method under a majorant condition
Cites Work
- Convergence of Newton's method and uniqueness of the solution of equations in Banach spaces. II
- Convergence and Complexity of Newton Iteration for Operator Equations
- Convergence of Newton's method and uniqueness of the solution of equations in Banach space
- On the Continuity of the Generalized Inverse
- Perturbation theory for pseudo-inverses
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