Matlab Quick Reference Page 6

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Function Functions - Nonlinear Numerical
Variance
Polynomial with specified roots
var
poly
Methods
Polynomial derivative
polyder
Polynomial eigenvalue problem
Solve two-point boundry value problems (BVPs)
polyeig
Finite Differences
bvp4c
for ordinary differential equations (ODEs)
Polynomial curve fitting
polyfit
Discrete Laplacian
del2
Extract parameters from BVP options structure
bvpget
Analytic polynomial integration
polyint
Differences and approximate derivatives
Form the initial guess for bvp4c
diff
bvpinit
polyval
Polynomial evaluation
Numerical gradient
Create/alter BVP options structure
gradient
bvpset
Matrix polynomial evaluat ion
polyvalm
Evaluate the solution computed by bvp4c
bvpval
Convert between partial fraction expansion and polynomial
residue
coefficients
Numerical evaluation of double integrals
dblquad
Correlation
Polynomial roots
Minimize a function of one variable
roots
fminbnd
corrcoef
Correlation coefficients
Minimize a function of several variables
fminsearch
Covariance matrix
cov
Find zero of a function of one variable
fzero
Data Interpolation
ode45, ode23,
Convex hull
convhull
ode113, ode15s,
Solve initial value problems for ODEs
Filtering and Convolution
ode23s, ode23t,
Multidimensional convex hull
convhulln
ode23tb
Convolution and polynomial multiplication
conv
Delaunay triangulation
delaunay
Extract parameters from ODE options structure
odeget
Two-dimensional convolution
conv2
Three-dimensionalDelaunay tessellation
delaunay3
Create/alter ODE options structure
odeset
Deconvolution and polynomial division
deconv
delaunayn
Multidimensional Delaunay tessellation
Get optimization options structure parameter
Filter data with an infinite impulse response (IIR) or finite
optimget
Search for nearest point
filter
dsearch
values
impulse response (FIR) filter
Multidimensional closest point search
dsearchn
Create or edit optimization options parameter
Two-dimensional digital filtering
filter2
optimset
structure
Data gridding
griddata
Solve initial-boundary value problems
pdepe
Data gridding and hypersurface fitting for three-dimensional
griddata3
data
Evaluate the solution computed by pdepe
Fourier Transforms
pdeval
Data gridding and hypersurface fitting (dimension >= 2)
Numerical evaluation of integrals, adaptive
griddatan
Absolute value and complex magnitude
abs
quad
Simpson quadrature
One-dimensional data interpolation (table lookup)
interp1
Phase angle
angle
Numerical evaluation of integrals, adaptive Lobatto
Two-dimensional data interpolation (table lookup)
interp2
quadl
Sort complex numbers into complex conjugate pairs
cplxpair
quadrature
Three-dimensional data interpolation (table lookup)
interp3
One-dimensional fast Fourier transform
Vectorize expression
fft
vectorize
One-dimensional interpolation using the FFT method
interpft
Two-dimensional fast Fourier transform
fft2
Multidimensional data interpolation (table lookup)
interpn
Sparse Matrix Functions
Shift DC component of fast Fourier transform to center of
fftshift
spectrum
Generate X and Y matrices for three-dimensional plots
meshgrid
Elementary Sparse Matrices
Generate arrays for multidimensional functions and
Inverse one-dimensional fast Fourier transform
ifft
ndgrid
interpolation
Extract and create sparse band and diagonal matrices
spdiags
Inverse two-dimensional fast Fourier transform
ifft2
Piecewise Cubic Hermite Interpolating Polynomial (PCHIP)
pchip
Sparse identity matrix
speye
Inverse multidimensional fast Fourier transform
ifftn
Piecewise polynomial evaluation
ppval
Sparse uniformly distributed random matrix
sprand
ifftshift
Inverse FFT shift
Cubic spline data interpolation
spline
Sparse normally distributed random matrix
sprandn
Next power of two
nextpow2
Search for enclosing Delaunay triangle
tsearch
sprandsym
Sparse symmetric random matrix
Correct phase angles
unwrap
Multidimensional closest simplex search
tsearchn
Voronoi diagram
voronoi
Polynomial and Interpolation Functions
Full to Sparse Conversion
Multidimensional Voronoi diagrams
voronoin
Polynomials
Find indices and values of nonzero elements
find
Convolution and polynomial multiplication
conv
Convert sparse matrix to full matrix
full
Deconvolution and polynomial division
Create sparse matrix
deconv
sparse

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