A

active constraints
    linprog example
    lsqlin example
    quadprog example
active set method
    fmincon medium-scale algorithm
    linprog medium-scale algorithm
    lsqlin medium-scale algorithm
    quadprog medium-scale algorithm
    sequential quadratic programming (SQP)
arguments, additional
attainment factor
axis crossing. See zero of a function

B

banana function
BFGS formula
fmincon medium-scale algorithm
fminunc medium-scale algorithm
bisection search
bound constraints, large-scale
box constraints. See bound constraints

C

centering parameter
CG. See conjugate gradients
code
    updating to Version 2 syntax
complementarity conditions
complex variables <1> <2>
conjugate gradients
constrained minimization
    large-scale example <1> <2>
    medium-scale example
constraints
    linear <1> <2> <3>
    positive
continuous derivative
    gradient methods
convex problem
cubic interpolation
curve-fitting
    categories
    functions that apply

D

data-fitting
categories
functions that apply
dense columns, constraint matrix
DFP formula
direction of negative curvature
discontinuities
discontinuous problems <1> <2>
discrete variables
dual problem
duality gap

E

-constraint method
equality constraints
    dense columns
    medium-scale example
equality constraints inconsistent warning, quadprog
equality constraints, linear
    large-scale
equation solving
    categories
    functions that apply
error, Out of memory.

F

feasibility conditions
feasible point, finding
fgoalattain
    example
fixed variables
fixed-step ODE solver
fminbnd
fmincon
    large-scale example <1> <2>
    medium-scale example
fminimax
    example
fminsearch
fminunc
    large-scale example
    medium-scale example
    warning messages
fseminf
fsolve
    large-scale Jacobian
    medium-scale analytic Jacobian
    medium-scale finite difference Jacobian
fsolve medium-scale default
function arguments
function discontinuities
functions
    grouped by category
fzero
fzmult

G

gangstr
Gauss-Newton method (large-scale)
    nonlinear least-squares
Gauss-Newton method (medium-scale)
    implementation, nonlinear equations
    implementation, nonlinear least squares
    least-squares optimization
    solving nonlinear equations
global minimum
global variables
goal attainment <1> <2>
    example
goaldemo
golden section search
gradient checking, analytic
gradient examples
gradient function
gradient methods
    continuous first derivative
    quasi-Newton
    unconstrained optimization

H

Hessian modified message
Hessian modified twice message
Hessian sparsity structure
Hessian update <1> <2>
Hessian updating methods

I

inconsistent constraints
indefinite problems
infeasible message
infeasible optimization problems
infeasible problems
infeasible solution warning
linprog
quadprog
inline objects
input arguments
integer variables
interior-point linear programming
introduction to optimization
iterative display

J

Jacobian
    analytic
    finite difference
    large-scale nonlinear equations
Jacobian sparsity pattern

K

Kuhn-Tucker equations

L

Lagrange multipliers
    large-scale linear programming
large-scale functionality coverage
large-scale methods
    demos
    examples
least squares
    categories
    functions that apply
Levenberg-Marquardt method
    lsqcurvefit medium-scale default
    lsqnonlin medium-scale default
    search direction
line search
    cubic interpolation
    fminunc medium-scale default
    fsolve medium-scale default
    lsqcurvefit medium-scale default
    lsqnonlin medium-scale default
    quadratic interpolation
    unconstrained optimization
line search strategy
linear constraints <1> <2> <3>
linear equations solve
linear least squares
    constrained
    large-scale algorithm
    large-scale example
    nonnegative
    unconstrained
linear programming
    implementation
    large-scale algorithm
    large-scale example <1> <2>
    problem
linprog
    large-scale example <1> <2>
LIPSOL
lower bounds
lsqcurvefit
lsqlin
    large-scale example
lsqnonlin
    convergence
    large-scale example
    medium-scale example
lsqnonneg

M

maximization
medium-scale methods
    demos
Mehrotra's predictor-corrector algorithm <1> <2>
merit function
minimax examples
minimax problem, solving
minimization
    categories
    functions that apply
multiobjective optimization <1> <2>
    examples

N

NCD. See Nonlinear Control Design
negative curvature direction <1> <2>
negative definite problems
Nelder and Mead
Newton direction
    approximate
Newton's method
    systems of nonlinear equations
    unconstrained optimization
no update message
nonconvex problems
noninferior solution
Nonlinear Control Design (NCD) Blockset
nonlinear data-fitting
nonlinear equations
    Newton's method
nonlinear equations (large-scale)
    example with Jacobian
    solving
nonlinear equations (medium-scale)
    analytic Jacobian example
    finite difference Jacobian example
    Gauss-Newton method
    solving
    trust-region dogleg method
nonlinear least squares <1> <2> <3>
    large-scale algorithm
    large-scale example
nonlinear programming
normal equations <1> <2>

O

objective function
    return values
optimality conditions linear programming
optimget
optimization
    functions by category
    getting to a global minimum
    handling infeasibility
    helpful hints
    introduction
    objective function return values
    troubleshooting
    unconstrained
optimization parameters structure <1> <2> <3>
optimset
options parameters
    descriptions
    possible values
    utility functions
Out of memory. error
output arguments
output display
output headings
    large-scale algorithms
    medium-scale algorithms

P

PCG. See preconditioned conjugate gradients
preconditioned conjugate gradients <1> <2> <3>
    algorithm
preconditioner <1> <2>
    banded
predictor-corrector algorithm
preprocessing
    linear programming <1> <2>
primal problem
primal-dual algorithm
primal-dual interior-point
projection method
    quadprog medium-scale algorithm
    sequential quadratic programming (SQP)

Q

quadprog
    large-scale example
quadratic interpolation
quadratic programming <1> <2> <3>
    large-scale algorithm
    large-scale example
quasi-Newton method
    implementation
quasi-Newton methods
    fminunc medium-scale algorithm
    unconstrained optimization

R

reflective line search
reflective steps <1> <2>
residual
Rosenbrock's function

S

sampling interval
secular equation
semi-infinite constraints
Sherman-Morrison formula
signal processing example
simple bounds
simplex search
    unconstrained optimization
Simulink, multiobjective example
singleton rows
solving nonlinear systems of equations
sparsity pattern Jacobian
sparsity structure, Hessian
SQP method <1> <2> <3>
steepest descent
stopping criteria, large-scale linear programming
structural rank
subspace
    determination of
subspace, two-dimensional
systems of nonlinear equations
    solving

T

trust region
trust-region dogleg method (medium-scale)
implementation for nonlinear equations
systems of nonlinear equations
two-dimensional subspace
typographical conventions
typographical conventions (table)

U

unbounded solutions warning
    linprog
    quadprog
unconstrained minimization <1> <2>
    large-scale example
    medium-scale example
    one dimensional
unconstrained optimization
updating code to Version 2 syntax
upper bounds

V

variable-step ODE solver
Version 2
changes to calling sequence
converting Version 1.5 code

W

warning
    equality constraints inconsistent, quadprog
    infeasible solution, linprog
    infeasible solution, quadprog
    stuck at minimum, fsolve
    unbounded solutions, linprog
    unbounded solutions, quadprog
warnings displayed
weighted sum strategy

Z

zero curvature direction
zero finding
zero of a function, finding