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At this stage, we are sure you have some idea about the basics of Matlab. If not, do not worry, here is a great article that could help. In this article, we provide a collection of frequently used Matlab commands which you can use for quick reference. Read on.

clc | Clear command window |

clear | Clear system memory |

clear x | Clear x from memory |

commandwindow | open/select commandwindow |

whos | lists data structures |

whos x | size, bytes, class and attributes of x |

ans | Last result |

close all | closes all gures |

close(H) | closes gure H |

winopen(pwd) | Open current folder |

class(obj) | returns objects class |

save filename | saves all variables to .mat le |

save filename x,y | saves x,y variables to .mat le |

save -append filename x | appends x to .mat le |

load filename | loads all variables from .mat le |

ver | Lists version and toolboxes |

beep | Makes the beep sound |

doc function | Help/documentation for function |

docsearch string | search documentation |

web google.com | opens webadress |

inputdlg | Input dialog box |

methods(A) | list class methods for A |

distrnd | random numbers from dist |

distpdf | pdf from dist |

distcdf | cdf dist |

distrnd | random numbers from dist |

hist(x) | histogram of x |

histfit(x) | histogram and |

*Standard distributions (dist) | norm, t, f, gam, chi2, bino |

*Standard functions | mean,median,var,cov(x,y),corr(x, |

*quantile(x,p) is not textbook version. (It uses interpolation for missing quantiles. |

edit filename | Opens filename in editor |

Alt | Displays hotkeys |

F1 | Help/documentation for highlighted function |

F5 | Run code |

F9 | Run highlighted code |

F10 | Run code line |

F11 | Run code line, enter functions |

Shift + F5 | Leave debugger |

F12 | Insert break point |

Ctrl+Page up/down | Moves between tabs |

Ctrl+Shift | Moves between components |

Ctrl + C | Interrupts code |

Ctrl + D | Open highlighted codes le |

Ctrl + R/T+ | Comment/uncomment line |

Ctrl + N | New script |

Ctrl + W | Close script |

Ctrl+Shift+d | Docks window |

Ctrl+Shift+u | Undocks window |

Ctrl+Shift+m | max window/restore size |

abs(x) | absolute value |

pi | 3:1415::: |

inf | ∞ |

epf | floating point accuracy |

1e6 | 10^{6} |

sum(x) | sums elements in x |

cumsum(x) | Cummulative sum |

prod | product of array elements |

cumprod(x) | cumulative product |

diff | difference of elements |

round/ceil/fix/floor | Standard functions. |

*Standard functions: sqrt, log, exp, max, min, Bessel

*Factorial(x) is only precise for x < 21

A cell may contain any kind of variables

x=cell(a,b) | a b cell array |

x{n,m} | access cell n,m |

cell2mat(x) | transforms cell to matrix cellfun |

cellfun('fname',C) | Applies fname to cells in C |

strcomp | compare strings (case sensitive) |

strcompi | compare strings (not case sensitive) |

strncomp | as strcomp, but only n first letters |

strfind | find string within a string , gives start position |

regexp | Search for regular expression |

&& | short circuit AND. |

& | AND |

|| | short circuit or |

| | or |

~ | not |

== | equality comparision |

isa(obj, ’class_name’) | is object in class |

~= | not equal |

*Other logical operators: <,>,>=,<=

*All above operators are elementwise

*Class indicators: isnan, isequal, ischar, isinf, isvector , isempty, isscalar, iscolumn

*Short circuits only evaluate second criteria if

first criteria is passed, it is therefore faster.

And useful fpr avoiding errors occuring in second criteria

*non-SC are bugged and short circuit anyway

j:k row vector [j,j+1,...,k]

j:i:k row vector [j,j+i,...,k]

linspace(a,b,n) n points linearly spaced and including a and b

NaN(a,b) a×b matrix of NaN values

ones(a,b) a×b matrix of 1 values

zeros(a,b) a×b matrix of 0 values

meshgrid(x,y) 2d grid of x and y vectors

[a,b]=deal(NaN(5,5)) declares a and b

global x gives x global scope

T=table(var1,var2,...,varN) Makes table* T(rows,vars) get sub-table T{rows,vars} get data from table T.var or T.(varindex) all rows of var T.var(rows) get values of var from rows summary(T) summary of table T.var3(T.var3>5)=5 changes some values T.Properties.Varnames Variable names T = array2table(A) ! make table from array T = innerjoin(T1,T2) innerjoin T = outerjoin(T1,T2) outerjoin ! Rows and vars indicate rows and variables. tables are great for large datasets, because they use less memory and allow faster operations. *rowfun is great for tables, much faster than eg. looping

x=[1, 2, 3] 1x3 (Row) vector x=[1; 2; 3] 3x1 (Column) vector x=[1, 2; 3, 4] 2x2 matrix x(2)=4 change index value nr 2 x(:) All elements of x (same as x) x(j:end) j’th to last element of x x(2:5) 2nd to 5th element of x x(j,:) all j row elements x(:,j) all j column elements diag(x) diagonal elements of x x.*y Element by element multiplication x./y Element by element division x+y Element by element addition x-y Element by element subtraction A^n normal/Matrix power of A A.^n Elementwise power of A A’ Transpose inv(A) Inverse of matrix size(x) Rows and Columns eye(n) Identity matrix sort(A) sorts vector from smallest to largest eig(A) Eigenvalues and eigenvectors numel(A) number of array elements x(x>5)=0 change elemnts >5 to 0 x(x>5) list elements >5 find(A>5) Indices of elements >5 find(isnan(A)) Indices of NaN elements [A,B] concatenates horizontally [A;B] concatenates vertically For functions on matrices, see bsxfun,arrayfun or repmat *if arrayfun/bsxfun is passed a gpuArray, it runs on GPU. *Standard operations: rank,rref,kron,chol *Inverse of matrix inv(A) should almost never be used, use RREF through \ instead: inv(A)b = A\b

Plotting commands fig1 = plot(x,y) 2d line plot, handle set to fig set(fig1, ’LineWidth’, 2) change line width set(fig1, ’LineStyle’, ’-’) dot markers (see *) set(fig1, ’Marker’, ’.’) marker type (see *) set(fig1, ’color’, ’red’) line color (see *) set(fig1, ’MarkerSize’, 10) marker size (see *) set(fig1, ’FontSize’, 14) fonts to size 14 figure new figure window figure(j) graphics object j get(j) returns information graphics object j gcf(j) get current figure handle subplot(a,b,c) Used for multiple figures in single plot xlabel(’\mu line’,’FontSize’,14) names x/y/z axis ylim([a b]) Sets y/x axis limits f or plot to a-b title(’name’,’fontsize’,22) names plot grid on/off; Adds grid to plot legend(’x’,’y’,’Location’,’Best’) adds legends hold on retains current figure when adding new stuff hold off restores to default (no hold on) set(h,’WindowStyle’,’Docked’); Docked window style for plots datetick(’x’,yy) time series axis plotyy(x1,y1,x2,y2) plot on two y axis refreshdata refresh data in graph if specified source drawnow do all in event queue * Some markers: ’, +, *, x, o, square * Some colors: red, blue, green, yellow, black * color shortcuts: r, b, g, y, k * Some line styles: -, --, :, -. * shortcut combination example: plot(x,y,’b--o’)

format short Displays 4 digits after 0 format long Displays 15 digits after 0 disp(x) Displays the string x disp(x) Displays the string x num2str(x) Converts the number in x to string num2str([’nA is = ’ OFTEN USED! num2str(a)]) ! mat2str(x) Converts the matrix in x to string int2str(x) Converts the integer in x to string sprintf(x) formated data to a string

addpath(string) adds path to workspace genpath(string) gets strings for subfolders pwd Current directory mkdir Makes new directory tempdir Temporary directory inmem Functions in memory exit Close matlab dir list folder content ver lists toolboxes

xlsread/xlswrite Spreadsheets (.xls,.xlsm) readtable/writetable Spreadsheets (.xls,.xlsm) dlmread/dlmwrite text files (txt,csv) load/save -ascii text files (txt,csv) load/save matlab files (.m) imread/imwrite Image files

keyboard Pauses exceution return resumes exceution tic starts timer toc stops timer profile on starts profiler profile viewer Lets you see profiler output try/catch Great for finding where errors occur dbstop if error stops at first error inside try/catch block dbclear clears breakpoints dbcont resume execution lasterr Last error message lastwarn Last warning message break Terminates executiion of for/while loop waitbar Waiting bar

return Return to invoking function exist(x) checks if x exists G=gpuArray(x) Convert varibles to GPU array function [y1,...,yN] = myfun(x1,...,xM) Anonymous functions not stored in main programme myfun = @(x1,x2) x1+x2; or even using myfun2 = @myfun(x) myfun(x3,2)

quad(fun,a,b) simpson integration of @fun from a to b fminsearch(fun,x0) minimum of unconstrained multivariable function using derivative-free method fmincon minimum of constrained function Example: Constrained log-likelihood maximization, note the - Parms_est = fmincon(@(Parms) -flogL(Parms,x1,x2,x3,y), InitialGuess,[],[],[],[],LwrBound,UprBound,[]);

for i=1:n procedure Iterates over procedure end incrementing i from 1 to n by 1 while(criteria) procedure Iterates over procedure end as long as criteria is true(1) if(criteria 1) if criteria 1 is true do procedure 1 procedure1 elseif(criteria 2) ,else if criteria 2 is true do procedure 2 procedure2 else , else do procedure 3 procedure3 end switch switch_expression if case n holds, case 1 run procedure n. If none holds procedure 1 run procedure 3 case 2 (if specified) procedure 2 otherwise procedure 3 end

- Monte-Carlo:If sample sizes are increasing generate largest size first in a vector and use increasingly larger portions for calculations. Saves time and memory.
- Trick: If you have a program that takes a long time to run and does not use all of the CPU/memory, split it into more programs and run using different workers (instances).
- Matlab is a column vector based language. Load memory columnwise first always. For faster code also preallocate memory for variables, Matlab requires contiguous memory usage. Matlab uses copy-on-write, so passing pointers (adresses) to a function will not speed it up. Change variable class to potentially save memory (Ram) using:int8, int16, int32, int64, double, char, logical, single
- You can turn the standard (mostly) Just-In-Time compilation off using: feature accel off. You can use compiled (c,c++,fortran) functions using MEX functions.
- Avoid global variables, they are user-error prone and compilers cant optimize them well.
- Functions defined in a .m file is only available there. Preface function names with initials to avoid clashes, eg.MrP function1.
- Graphic cards(GPU)’s have many (small) cores. If (1) program is computationally intensive (not spending much time transfering data) and (2) massively parallel, so computations can be independent. Consider using the GPU!
- Using multiple cores (parallel computing) is often easy to implement, just use parfor instead of for loops.
- Warnings: empty matrices are NOT overwritten ([] + 1 = []). Rows/columns are added without warning if you write in a nonexistent row/column. Good practise: Use 3i rather than 3*i for imaginary number calculations, because i might have been overwritten by earlier. 1/0 returns inf, not NaN. Dont use == for comparing doubles, they are floating point precision for example: 0.01 == (1 − 0.99) = 0.

Disclaimer:* All of the above information has been shared from publicly available sources for information only. All copyrights acknowledged. *

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