Not to be confused with Matlab Upazila in Chandpur District, Bangladesh. MATLAB is a numerical computing environment and programming language. Created by The MathWorks, MATLAB allows easy matrix manipulation, plotting of functions and data, implementation of algorithms, creation of user interfaces, and interfacing with programs in other languages. Although it specializes in numerical computing, an optional toolbox interfaces with the Maple symbolic engine, allowing it to be part of a full computer algebra system. Matlab (Bengali: ) is an Upazila of Chandpur District in the Division of Chittagong, Bangladesh. ...
Image File history File links Matlab. ...
Image File history File links Size of this preview: 800 × 519 pixelsFull resolution (1106 × 718 pixel, file size: 191 KB, MIME type: image/png) This is a screenshot showing MATLAB 7. ...
Windows XP is a line of operating systems developed by Microsoft for use on general-purpose computer systems, including home and business desktops, notebook computers, and media centers. ...
Software development is the translation of a user need or marketing goal into a software product. ...
The MathWorks, Inc. ...
A software release is the distribution, whether public or private, of an initial or new and upgraded version of a computer software product. ...
is the 244th day of the year (245th in leap years) in the Gregorian calendar. ...
Year 2007 (MMVII) is the current year, a common year starting on Monday of the Gregorian calendar and the AD/CE era. ...
// An operating system (OS) is the software that manages the sharing of the resources of a computer. ...
A cross-platform (or platform independent) programming language, software application or hardware device works on more than one system platform (e. ...
Computer software can be organized into categories based on common function, type, or field of use. ...
Listed here are a number of computer programs used for performing numerical calculations: Baudline is a time-frequency browser for numerical signals analysis and scientific visualization. ...
A software license is a legal agreement which may take the form of a proprietary or gratuitous license as well as a memorandum of contract between a producer and a user of computer software. ...
It has been suggested that closed source be merged into this article or section. ...
A website (alternatively, Web site or web site) is a collection of Web pages, images, videos and other digital assets that is hosted on one or several Web server(s), usually accessible via the Internet, cell phone or a LAN. A Web page is a document, typically written in HTML...
Numerical analysis is the study of approximate methods for the problems of continuous mathematics (as distinguished from discrete mathematics). ...
A programming language is an artificial language that can be used to control the behavior of a machine, particularly a computer. ...
The MathWorks, Inc. ...
In mathematics, a matrix (plural matrices) is a rectangular table of elements (or entries), which may be numbers or, more generally, any abstract quantities that can be added and multiplied. ...
Graph of example function, The mathematical concept of a function expresses the intuitive idea of deterministic dependence between two quantities, one of which is viewed as primary (the independent variable, argument of the function, or its input) and the other as secondary (the value of the function, or output). A...
In mathematics, computing, linguistics, and related disciplines, an algorithm is a finite list of well-defined instructions for accomplishing some task that, given an initial state, will terminate in a defined end-state. ...
The user interface is the part of a system exposed to users. ...
Maple is a general-purpose commercial mathematics software package. ...
A computer algebra system (CAS) is a software program that facilitates symbolic mathematics. ...
As of 2004, MATLAB was used by more than one million people in industry and academia.[2] Year 2004 (MMIV) was a leap year starting on Thursday of the Gregorian calendar. ...
History
Short for "matrix laboratory", MATLAB was invented in the late 1970s by Cleve Moler, then chairman of the computer science department at the University of New Mexico. He designed it to give his students access to LINPACK and EISPACK without having to learn Fortran. It soon spread to other universities and found a strong audience within the applied mathematics community. Jack Little, an engineer, was exposed to it during a visit Moler made to Stanford University in 1983. Recognizing its commercial potential, he joined with Moler and Steve Bangert. They rewrote MATLAB in C and founded The MathWorks in 1984 to continue its development. These rewritten libraries were known as JACKPAC. The 1970s decade refers to the years from 1970 to 1979, also called The Seventies. ...
Cleve Barry Moler is a mathematician and computer programmer specializing in numerical analysis. ...
Computer science, or computing science, is the study of the theoretical foundations of information and computation and their implementation and application in computer systems. ...
The University of New Mexico (UNM) is a public university in Albuquerque, New Mexico. ...
LINPACK is a software library for performing numerical linear algebra on digital computers. ...
EISPACK has been superceded mostly by LAPACK. Categories: Software stubs ...
Fortran (previously FORTRAN[1]) is a general-purpose[2], procedural,[3] imperative programming language that is especially suited to numeric computation and scientific computing. ...
Applied mathematics is a branch of mathematics that concerns itself with the mathematical techniques typically used in the application of mathematical knowledge to other domains. ...
John N. (Jack) Little is the president and co-founder of The MathWorks, and co-author of the companys first product MATLAB. Hes a Fellow of the IEEE, and a Trustee of the Massachusetts Software Council. ...
“Stanford†redirects here. ...
Year 1983 (MCMLXXXIII) was a common year starting on Saturday (link displays the 1983 Gregorian calendar). ...
C is a general-purpose, block structured, procedural, imperative computer programming language developed in 1972 by Dennis Ritchie at the Bell Telephone Laboratories for use with the Unix operating system. ...
The MathWorks, Inc. ...
This article is about the year. ...
MATLAB was first adopted by control design engineers, Little's specialty, but quickly spread to many other domains. It is now also used in education, in particular the teaching of linear algebra and numerical analysis, and is popular amongst scientists involved with image processing.[3] Control engineering is the engineering discipline that focuses on the mathematical modelling systems of a diverse nature, analysing their dynamic behaviour, and using control theory to make a controller that will cause the systems to behave in a desired manner. ...
Linear algebra is the branch of mathematics concerned with the study of vectors, vector spaces (also called linear spaces), linear maps (also called linear transformations), and systems of linear equations. ...
Numerical analysis is the study of approximate methods for the problems of continuous mathematics (as distinguished from discrete mathematics). ...
Syntax MATLAB is built around the MATLAB language, sometimes called M-code or simply M. The simplest way to execute M-code is to type it in at the prompt, >> , in the Command Window, one of the elements of the MATLAB Desktop. In this way, MATLAB can be used as an interactive mathematical shell. Sequences of commands can be saved in a text file, typically using the MATLAB Editor, as a script or encapsulated into a function, extending the commands available.[4] In computing, a shell is a piece of software that provides an interface for users (command line interpreter). ...
A shell script is a script written for the shell, or command line interpreter, of an operating system. ...
Functional programming is a programming paradigm that conceives computation as the evaluation of mathematical functions and avoids state and mutable data. ...
Variables Variables are defined with the assignment operator, =. MATLAB is dynamically typed, meaning that variables can be assigned without declaring their type, and that their type can change. Values can come from constants, from computation involving values of other variables, or from the output of a function. For example: In computer science, a type system defines how a programming language classifies values and expressions into types, how it can manipulate those types and how they interact. ...
In mathematics and the mathematical sciences, a constant is a fixed, but possibly unspecified, value. ...
>> x = 17 x = 17 >> x = 'hat' x = hat >> x = 3*4 x = 12 >> y = 3*sin(x) y = -1.6097
Vectors/Matrices MATLAB is a "Matrix Laboratory", and as such it provides many convenient ways for creating matrices of various dimensions. In the MATLAB vernacular, a vector refers to a one dimensional (1×N or N×1) matrix, commonly referred to as an array in other programming languages. A matrix generally refers to a multi-dimensional matrix, that is, a matrix with more than one dimension, for instance, an N×M, an N×M×L, etc., where N, M, and L are greater than 1. In other languages, such a matrix might be referred to as an array of arrays, or array of arrays of arrays, etc.
MATLAB provides a simple way to define simple arrays using the syntax: init:increment:terminator. For instance:
>> array = 1:2:9 array = 1 3 5 7 9 defines a variable named array (or assigns a new value to an existing variable with the name array) which is an array consisting of the values 1, 3, 5, 7, and 9. That is, the array starts at 1, the init value, and each value increments from the previous value by 2 (the increment value), and stops once it reaches but not exceeding 9 (9 being the value of the terminator). >> array = 1:3:9 array = 1 4 7 the increment value can actually be left out of this syntax (along with one of the colons), to use a default value of 1. >> ari = 1:5 ari = 1 2 3 4 5 assigns to the variable named ari an array with the values 1, 2, 3, 4, and 5, since the default value of 1 is used as the incrementer.
Matrices can be defined by separating the elements of a row with blank space or comma and using a semicolon to terminate each row. The list of elements should be surrounded by square brackets []. Elements and subarrays are accessed using parenthesis ().
>> A = [16 3 2 13; 5 10 11 8; 9 6 7 12; 4 15 14 1] A = 16 3 2 13 5 10 11 8 9 6 7 12 4 15 14 1 >> A(2,3) ans = 11 >> A(2:4,3:4) ans = 11 8 7 12 14 1 A square identity matrix of size n can be generated using the function eye, and matrices of any size with zeros or ones can be generated with the functions zeros and ones, respectively. In linear algebra, the identity matrix of size n is the n-by-n square matrix with ones on the main diagonal and zeros elsewhere. ...
>> eye(3) ans = 1 0 0 0 1 0 0 0 1 >> zeros(2,3) ans = 0 0 0 0 0 0 >> ones(2,3) ans = 1 1 1 1 1 1 Most MATLAB functions can accept matrices and will apply themselves to each element. For example, mod(2*J,n) will multiply every element in "J" by 2, and then reduce each element modulo "n". MATLAB does include standard "for" and "while" loops, but using MATLAB's vectorized notation often produces code that is easier to read and faster to execute. This code, excerpted from the function magic.m, creates a magic square M for odd values of n. It has been suggested that Date magic square be merged into this article or section. ...
[J,I] = meshgrid(1:n); A = mod(I+J-(n+3)/2,n); B = mod(I+2*J-2,n); M = n*A + B + 1;
Semicolon In many other languages, the semicolon is required to terminate commands. In MATLAB the semicolon is optional. If a statement is not terminated with a semicolon, then the result of the statement is displayed. A statement that does not explicitly return a result, for instance 'clc', will behave the same whether or not a semicolon is included.[5]
Graphics Function plot can be used to produce a graph from two vectors x and y. The code: x = 0:pi/100:2*pi; y = sin(x); plot(x,y) produces the following figure of the sine function: In trigonometry, an ideal sine wave is a waveform whose graph is identical to the generalized sine function y = Asin[ω(x − α)] + C, where A is the amplitude, ω is the angular frequency (2π/P where P is the wavelength), α is the phase shift, and C...
 Image File history File links Matlab_plot_sin. ...
Three dimensional graphics can be produced using the functions surf, plot3 or mesh.
[X,Y] = meshgrid(-8:.5:8); R = sqrt(X.^2 + Y.^2)+eps; Z = sin(R)./R; surf(X,Y,Z) This code produces the 3D plot of a two-dimensional sinc function of radius. The sinc function sinc(x) from x = −8π to 8π. In mathematics, the sinc function (for sinus cardinalis), also known as the interpolation function, filtering function or the first spherical Bessel function , is the product of a sine function and a monotonically decreasing function. ...
 Image File history File links Matlab_plot_sinc. ...
Limitations MATLAB is a proprietary product of The MathWorks, so users are subject to vendor lock-in. Some other source languages, however, are partially compatible and provide a migration path. It has been suggested that closed source be merged into this article or section. ...
In economics, vendor lock-in, also known as proprietary lock-in, customer lock-in, lock-in is where a customer is dependent on a vendor for products and services and cannot move to another vendor without substantial switching costs, real and/or perceived. ...
Listed here are a number of computer programs used for performing numerical calculations: Baudline is a time-frequency browser for numerical signals analysis and scientific visualization. ...
The language has a mixed heritage with a sometimes erratic syntax. For example, MATLAB uses parentheses, e.g. y = f(x), for both indexing into an array and calling a function. Although this ambiguous syntax can facilitate a switch between a procedure and a lookup table, both of which correspond to mathematical functions, a careful reading of the code may be required to establish the intent. In computer science, a subroutine (function, method, procedure, or subprogram) is a portion of code within a larger program, which performs a specific task and is relatively independent of the remaining code. ...
In computer science, a lookup table is a data structure, usually an array or associative array, used to replace a runtime computation with a simpler lookup operation. ...
Graph of example function, The mathematical concept of a function expresses the intuitive idea of deterministic dependence between two quantities, one of which is viewed as primary (the independent variable, argument of the function, or its input) and the other as secondary (the value of the function, or output). A...
MATLAB has no namespace resolution system like the system found in more modern languages such as Java and Python, where classes are located inside packages which can be unambiguously resolved and provide order, e.g. Java's System.out.println() makes it clear to user precisely which function is being called. In MATLAB, all functions share the global namespace, and precedence of functions with the same name is determined by the order in which they appear in the user's MATLAB path environment variable (unless the function in question is the method of a class). Functions are usually not prefixed or otherwise organized logically. As such, two users may experience different results when executing what otherwise appears to be the same code.
Many functions have a different behavior with matrix and vector arguments. Since vectors are matrices of one row or one column, this can give unexpected results. For instance, function sum(A) where A is a matrix gives a row vector containing the sum of each column of A, and sum(v) where v is a column or row vector gives the sum of its elements; hence the programmer must be careful if the matrix argument of sum can degenerate into a single-row array.[6] While sum and many similar functions accept an optional argument to specify a direction, others, like plot,[7] do not, and require additional checks. There are other cases where MATLAB's interpretation of code may not be consistently what the user intended (e.g. how spaces are handled inside brackets as separators where it makes sense but not where it doesn't, or backslash escape sequences which are interpreted by some functions like fprintf but not directly by the language parser because it wouldn't be convenient for Windows directories). What might be considered as a convenience for commands typed interactively where the user can check that MATLAB does what the user wants may be less supportive of the need to construct reusable code. In computing and telecommunication, an escape character is one which has a special meaning in a sequence of characters. ...
In computer science and software engineering, reusability is the likelihood a segment of structured code can be used again to add new functionalities with slight or no modification. ...
Though other datatypes are available, the default is a matrix of doubles. This array type does not include a way to attach attributes such as engineering units or sampling rates. Although time and date markers were added in R14SP3 with the time series object, sample rate is still lacking. Such attributes can be managed by the user via structures or other methods. In computer science, a datatype or data type (often simply a type) is a name or label for a set of values and some operations which one can perform on that set of values. ...
In mathematics, a matrix (plural matrices) is a rectangular table of elements (or entries), which may be numbers or, more generally, any abstract quantities that can be added and multiplied. ...
In computing, double precision is a computer numbering format that occupies two storage locations in computer memory at address and address+1. ...
The sampling frequency or sampling rate defines the number of samples per second taken from a continuous signal to make a discrete signal. ...
Array indexing is one-based which is the common convention for matrices in mathematics, but does not accommodate the indexing convention of sequences that have zero or negative indices. For instance, in MATLAB the DFT (or FFT) is defined with the DC component at index 1 instead of index 0, which is not consistent with the standard definition of the DFT. This one-based indexing convention is hard coded into MATLAB, making it difficult for a user to define their own zero-based or negative indexed arrays to concisely model an idea having non-positive indices. This article does not cite any references or sources. ...
In mathematics, a matrix (plural matrices) is a rectangular table of elements (or entries), which may be numbers or, more generally, any abstract quantities that can be added and multiplied. ...
In mathematics, the discrete Fourier transform (DFT), occasionally called the finite Fourier transform, is a transform for Fourier analysis of finite-domain discrete-time signals. ...
The Fast Fourier Transform (FFT) is an efficient algorithm to compute the discrete Fourier transform (DFT) and its inverse. ...
When describing a periodic function in the frequency domain, the term DC coefficient or DC component refers to the mean value of the waveform (possibly scaled according to the norm of the corresponding basis function of the frequency analysis filter bank). ...
To hard code or hard coding (also, hard-code/hard-coding, hardcode/hardcoding) refers to the software development practice of embedding output or configuration data directly into the source code of a program or other executable object, or fixed formatting of the data, instead of obtaining that data from external...
MATLAB doesn't support references,[8] which makes it difficult to implement data structures that contain indirections, such as open hash tables, linked lists, trees, and various other common computer science data structures. In addition, the language consistently passes function arguments by value, so any values that change must be returned from the function and re-assigned by the caller. This can, however, be circumvented by declaring variables to be global, which permits access to a value within a function. Matlab is not very exciting. This article is about a general notion of reference in computing. ...
See also MATLAB add-ons: - Simulink is a graphical block diagramming tool for modeling, simulating and analyzing multi-domain dynamic systems.
- Stateflow is a simulation tool for event-driven systems.
Similar products, some of which are free and/or partially compatible: Simulink, running a simulation of a thermostat-controlled heating system Simulink® is a block library tool for modeling, simulating and analyzing dynamic systems. ...
Developed by The MathWorks, Stateflow is a diagramming tool modelling event-driven systems that works with Simulink and MATLAB. Categories: Stub ...
See List of numerical analysis software for an exhaustive list. Array programming languages (also known as vector or multidimensional languages) generalize operations on scalars to apply transparently to vectors, matrices, and higher dimensional arrays. ...
An integrated development environment (IDE), also known as integrated design environment and integrated debugging environment, is a programming environment that has been packaged as an application program,that assists computer programmers in developing software. ...
Listed here are a number of computer programs used for performing numerical calculations: Baudline is a time-frequency browser for numerical signals analysis and scientific visualization. ...
References is the 285th day of the year (286th in leap years) in the Gregorian calendar. ...
Year 2006 (MMVI) was a common year starting on Sunday of the Gregorian calendar. ...
Further reading - Gilat, Amos (2004). MATLAB: An Introduction with Applications 2nd Edition. John Wiley & Sons. ISBN 978-0-471-69420-5.
- Quarteroni, Alfio; Fausto Saleri (2006). Scientific Computing with MATLAB and Octave. Springer. ISBN 978-3-540-32612-0.
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