From Matlab Primer by UFL 

General

help	help facility
demo	run demonstrations
who	list variables in memory
what	list M-files on disk
size	row and column dimensions
length	vector length
clear	clear workspace
computer	type of computer
^C	local abort
exit	exit MATLAB
quit	same as exit

 

Matrix Operators	Array Operators
+ addition - subtraction * multiplication / division \ left division ^ power ' conjugate transpose	+ addition - subtraction .* multiplication ./ division .\ left division .^ power .' transpose

 

Relational and Logical Operators

< less than <= less than or equal > greater than >= greater than or equal == equal ~= not equal & and | or ~ not

 

Special Characters

= assignment statement [ used to form vectors and matrices ] see [ ( arithmetic expression precedence  ) see ( . decimal point ... continue statement to next line , separate subscripts and function arguments ; end rows, suppress printing % comments : subscripting, vector generation ! execute operating system command

 

Special Values

ans answer when expression not assigned eps floating point precision pi 3.14159... i, j sqrt(-1) inf infinity NaN Not-a-Number clock wall clock date date flops floating point operation count nargin number of function input arguments nargout number of function output arguments

 

Disk Files

chdir change current directory delete delete file diary diary of the session dir directory of files on disk load load variables from file save save variables to file type list function or file what show M-files on disk fprintf write to a file pack compact memory via save

 

Special Matrices

compan companion diag diagonal eye identity gallery esoteric hadamard Hadamard hankel Hankel hilb Hilbert invhilb inverse Hilbert linspace linearly spaced vectors logspace logarithmically spaced vectors magic magic square meshdom domain for mesh points ones constant pascal Pascal rand random elements toeplitz Toeplitz vander Vandermonde zeros zero

 

Matrix Manipulation

rot90 rotation fliplr flip matrix left-to-right flipud flip matrix up-to-down diag diagonal matrices tril lower triangular part triu upper triangular part reshape reshape .' transpose : convert matrix to single column; A(:)

 

Relational and Logical Functions

any logical conditions all logical conditions find find array indices of logical values isnan detect NaNs finite detect infinities isempty detect empty matrices isstr detect string variables strcmp compare string variables

 

Control Flow

if conditionally execute statements elseif used with if else used with if end terminate if, for, while for repeat statements a number of times while do while break break out of for and while loops return return from functions pause pause until key pressed

 

Programming and M-Files

input get numbers from keyboard keyboard call keyboard as M-file error display error message function define function eval interpret text in variables feval evaluate function given by string echo enable command echoing exist check if variables exist casesen set case sensitivity global define global variables startup startup M-file getenv get environment string menu select item from menu etime elapsed time

 

Text and Strings

abs convert string to ASCII values eval evaluate text macro num2str convert number to string int2str convert integer to string setstr set flag indicating matrix is a string sprintf convert number to string isstr detect string variables strcomp compare string variables hex2num convert hex string to number

 

Command Window

clc  clear command screen home  move cursor home format  set output display format disp  display matrix or text fprintf print formatted number echo  enable command echoing

 

Graph Paper

plot  linear X-Y plot loglog  loglog X-Y plot semilogx semi-log X-Y plot semilogy semi-log X-Y plot polar  polar plot mesh  3-dimensional mesh surface contour  contour plot meshdom domain for mesh plots bar  bar charts stairs  stairstep graph errorbar  add error bars

 

Graph Annotation

title  plot title xlabel  x-axis label ylabel  y-axis label grid  draw grid lines text  arbitrarily position text gtext  mouse-positioned text ginput  graphics input

 

Graph Window Control

axis  manual axis scaling hold  hold plot on screen shg  show graph window clg  clear graph window subplot split graph window

 

Graph Window Hardcopy

print  send graph to printer prtsc  screen dump meta  graphics metafile

 

Elementary Math Functions

abs  absolute value or complex magnitude angle  phase angle sqrt  square root real  real part imag  imaginary part conj  complex conjugate round  round to nearest integer fix  round toward zero floor  round toward $-\infty$ ceil  round toward $\infty$ sign  signum function rem  remainder exp  exponential base e log  natural logarithm log10  log base 10

 

Trigonometric Functions

sin  sine cos  cosine tan  tangent asin  arcsine acos  arccosine atan  arctangent atan2  four quadrant arctangent sinh  hyperbolic sine cosh  hyperbolic cosine tanh  hyperbolic tangent asinh  hyperbolic arcsine acosh  hyperbolic arccosine atanh  hyperbolic arctangent

 

Special Functions

bessel  bessel function gamma  gamma function rat  rational approximation erf  error function inverf inverse error function ellipk complete elliptic integral of first kind ellipj Jacobian elliptic integral

 

Decompositions and Factorizations

balance  balanced form backsub  backsubstitution cdf2rdf  convert complex-diagonal to real-diagonal chol  Cholesky factorization eig  eigenvalues and eigenvectors hess  Hessenberg form inv  inverse lu  factors from Gaussian elimination nnls  nonnegative least squares null  null space orth  orthogonalization pinv  pseudoinverse qr  orthogonal-triangular decomposition qz  QZ algorithm rref  reduced row echelon form schur Schur decomposition svd  singular value decomposition

 

Matrix Conditioning

cond  condition number in 2-norm norm  1-norm,2-norm,F-norm,$\infty$-norm rank  rank rcond condition estimate (reciprocal)

 

Elementary Matrix Functions

expm  matrix exponential logm  matrix logarithm sqrtm matrix square root funm  arbitrary matrix function poly  characteristic polynomial det  determinant trace  trace kron  Kronecker tensor product

 

Polynomials

poly  characteristic polynomial roots  polynomial roots---companion matrix method roots1  polynomial roots---Laguerre's method polyval polynomial evaluation polyvalm matrix polynomial evaluation conv  multiplication deconv  division residue partial-fraction expansion polyfit polynomial curve fitting

 

Column-wise Data Analysis

max  maximum value min  minimum value mean  mean value median median value std  standard deviation sort  sorting sum  sum of elements prod  product of elements cumsum cumulative sum of elements cumprod cumulative product of elements diff  approximate derivatives hist  histograms corrcoef  correlation coefficients cov  covariance matrix cplxpair  reorder into complex pairs

 

Signal Processing

abs  complex magnitude angle  phase angle conv  convolution corrcoef  correlation coefficients cov  covariance deconv deconvolution fft  radix-2 fast Fourier transform fft2  two-dimensional FFT ifft  inverse fast Fourier transform ifft2  inverse 2-D FFT fftshift FFT rearrangement

 

Numerical Integration

quad  numerical function integration quad8  numerical function integration

 

Differential Equation Solution

ode23  2nd/3rd order Runge-Kutta method ode45  4th/5th order Runge-Kutta-Fehlberg method

 

Nonlinear Equations and Optimization

fmin  minimum of a function of one variable fmins  minimum of a multivariable function fsolve  solution of a system of nonlinear equations (zeros of a multivariable function) fzero  zero of a function of one variable

 

Interpolation

spline  cubic spline table1  1-D table look-up table2  2-D table look-up