CGI-Based Numerical Calculations

charpolycoef() Characteristic polynomial of a matrix
choldecomp() Cholesky Decomposition
combination() Combination
xcompanionmatrix(), companionmatrix() Companion matrix
condnum() Condition number of a matrix
conv() Convolution
conv2() Two-dimensional convolution
complexsolve() Solve a complex equation
corrcoef() Correlation coefficient
correlation2() Two-dimensional Correlation
covariance() Covariance
cross() Cross product
cumprod() Cumulative product calculation
cumsum() Cumulative sum calculation
curvefit() Fit a set of data points to a combination of specified functions
deconv() Deconvolution
derivative(), derivatives() Derivation
cdeterminant(), determinant() Determinant of a matrix
cdiagonal(), diagonal() Get a vector with diagonals of a matrix
cdiagonalmatrix(),diagonalmatrix() Create a diagonal matrix
difference() Differences of adjacent elements of vector
dot() Dot product
eigensystem() Eigenvalues and Eigenvectors
expm() Matrix exponential
factorial() Factorial
fevalarray(), cfevalarray() Function evaluation
fft() Fast Fourier Transform
filter() Filter
filter2() Two-dimensional Filter
fminimum(), fminimums() Find the minimum value of a function
fliplr() Flip matrix in left/right direction
flipud() Flip matrix in up/down direction
fsolve() Find zeros of a nonlinear system of equations
cfunm(), funm() Matrix function evaluation
fzero() Find a zero position of a nonlinear function
gcd() Greatest common divisor
hessdecomp() Hessenberg Decomposition
identitymatrix() Identity matrix
ifft() Inverse Fast Fourier Transform
integral1() Integration
integral2() 2D Integration
integration2() 2D Integration
integral3() 3D Integration
integration3() 3D Integration
interp1() One-dimensional interpolation
interp2() Two-dimensional interpolation
inverse(), cinverse() Inverse of a square matrix
lcm() Least common multiple
linsolve() Solve the linear equations by LU factorization
llsqcovsolve() Solve the linear equations by linear squares with known covariance
llsqnonnegsolve() Solve the linear equations with non-negative values by linear squares method
llsqsolve() Linear Least square solution for linear equations
logm() Matrix natural logarithm
ludecomp() LU factorization
mean(), cmean() Mean value calculation
median() Median value calculation
norm() Norm of a vector or matrix
nullspace() Nullspace of a matrix
odesolve() Ordinary Differential Equations,
orthonormalbase() Orthonormal bases of a matrix
pinverse() Pseudoinverse a matrix
polycoef() Polynomial coefficients
polyder(), polyder2() Polynomial derivative or derivative of product or quotient of two polynomials
polyeval(), cpolyeval(), polyevalarray() Polynomial and its Derivative Evaluation
polyevalm() Matrix polynomial function evaluation
polyfit() Fit a set of data points to a polynomial function
product(), cproduct() Product of all elements
qrdecomp() Orthogonal-triangular QR Decomposition
rank() Rank of a matrix
residue() Residue
rcondnum() Reciprocal condition number of a matrix
roots() Roots of a polynomial
rot90() Rotate matrix 90 degrees
specialmatrix() Special matrix
schurdecomp() Schur decomposition
sort() Sorting elements
sqrtm() Matrix square root
std() Standard deviation
sum(), csum() Sum of all elements
svd() Singular value decomposition
trace(), ctrace() Sum of diagonal elements of a matrix
triangularmatrix(), ctriangularmatrix() Triangular matrix
xcorr() Cross correlation

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