Computational solution of nonlinear systems of equations /
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Imprint: | Providence, R.I. : American Mathematical Society, c1990. |
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Description: | xix, 762 p. : ill. ; 24 cm. |
Language: | English |
Series: | Lectures in applied mathematics, 0075-8485 ; v. 26 Lectures in applied mathematics (American Mathematical Society) v. 26. |
Subject: | |
Format: | Print Book |
URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/1134012 |
Table of Contents:
- Numerically stable homotopy methods without an extra dimension
- Duality algorithms for smooth unconstrained optimization
- Antidotes for nonintegrability of nonlinear systems: Quasi-periodic motions
- Bifurcation into folds of infinite dimension
- On the geometry of factorization algorithms
- Defect corrections and mesh independence principle for operator equations and their discretizations
- On a numerical Lyapunov-Schmidt method
- PL approximation of manifolds and its application to implicit ODEs
- On characterizations of superlinear convergence for constrained optimization
- Computation of solutions of two-point boundary value problems by a simplicial homotopy algorithm
- Computational methods for nonlinear systems of partial differential equations arising in contaminant transport in porous media
- Low storage methods for unconstrained optimization
- Block ABS methods for nonlinear systems of algebraic equations
- Application of Julia-Fatou iteration theory in dielectric spectroscopy
- An introduction to PL algorithms
- Nonlinear convection diffusion equations and Newton-like methods
- Convergence of the Newton-Raphson method for boundary value problems of ordinary differential equations
- A damped-Newton method for the linear complementarity problem
- ome superlinearly convergent methods for solving singular nonlinear equations
- Numerical solutions of some nonlinear dispersive wave equations
- Parametric optimization: Critical points and local minima
- Interval arithmetic techniques in the computational solution of nonlinear systems of equations: Introduction, examples, and comparisons
- Operator prolongation methods for nonlinear equations
- Smooth penalty functions and continuation methods for constrained optimization
- Application of the fast adaptive composite grid method to nonlinear partial differential equations
- Interactive program for continuation of solutions of large systems of nonlinear equations
- Nonlinear parametrized equations: New results for variational problems and inequalities
- Generically nonsingular polynomial continuation
- Polynomial continuation for mechanism design problems
- A Lagrangian method for collisional kinetic equations
- On the number of solutions of semilinear elliptic problems at resonance: Some numerical experiments
- Splitting of separatrices and chaos
- PL methods for constructing a numerical implicit function
- Nonstandard scaling matrices in trust region methods
- Numerical determination of breathers and forced oscillations of nonlinear wave equations
- Numerical solutions of singular stochastic control problems in bounded intervals
- Large least-squares problems and the need for automating the generation of adjoint codes
- Newton-like methods for underdetermined systems
- Sard's theorem and its improved versions in numerical analysis
- Finite difference approximation of sparse Jacobian matrices in Newton-like methods
- A collection of nonlinear model problems