Quasi-Newton ABS methods for solving nonlinear algebraic systems of equations

DOI10.1007/BF02275349zbMath0849.65032MaRDI QIDQ1918020

A. Jeney, Aurel Galantai

Publication date: 22 August 1996

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

algorithmsnumerical experimentsquasi-Newton methodssystems of nonlinear algebraic equationsnonlinear ABS method

Mathematics Subject Classification ID

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

Related Items (5)

Positive solutions for a nonlinear algebraic system with nonnegative coefficient matrix ⋮ Quasi-Newton ABS methods for solving nonlinear algebraic systems of equations ⋮ A bibliography of the ABS methods ⋮ An adaptive learning rate backpropagation‐type neural network for solving n × n systems on nonlinear algebraic equations ⋮ Existence of positive solutions for a class of nonlinear algebraic systems

Uses Software

• minpack

Cites Work

• Restart row update ABS methods for solving systems of nonlinear equations
• The local convergence of ABS methods for nonlinear algebraic equations
• Quasi-Newton ABS methods for solving nonlinear algebraic systems of equations
• Testing Unconstrained Optimization Software
• On the Local and Superlinear Convergence of Quasi-Newton Methods
• A Class of Methods for Solving Nonlinear Simultaneous Equations
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