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Systems of Nonlinear Equations
Find a solution to a multivariable nonlinear equation F(x) = 0. For problem setup, see Solver-Based Optimization Problem Setup.
Topics
Systems of Nonlinear Equations Solutions
Nonlinear Equations with Analytic Jacobian
Example showing how to use derivatives in nonlinear equation-solving.
Nonlinear Equations with Finite-Difference Jacobian
Example showing how to solve a nonlinear system of equations without derivative information.
Nonlinear Equations with Jacobian Sparsity Pattern
Example of solving a nonlinear system of equations with known finite-difference sparsity pattern.
Nonlinear Systems with Constraints
Techniques for solving nonlinear systems of equations when there are constraints.
Parallel Computing
What Is Parallel Computing in Optimization Toolbox?
Using multiple processors for optimization.
Using Parallel Computing in Optimization Toolbox
Automatic gradient estimation in parallel.
Improving Performance with Parallel Computing
Considerations for speeding optimizations.
Algorithms and Options
Solving linear systems of equations, nonlinear equations in one variable, and systems of n nonlinear equations in n variables.
Optimization Options Reference
Describes optimization options.
