Inverse Error Function Matlab
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Search All Support Resources Support Documentation MathWorks Search MathWorks.com MathWorks Documentation Support Documentation Toggle navigation Trial Software Product Updates Documentation Home MATLAB Examples Functions Release Notes inverse error function excel PDF Documentation Mathematics Elementary Math Special Functions MATLAB Functions erfinv On this
Inverse Error Function Calculator
page Syntax Description Examples Find Inverse Error Function of Value Plot the Inverse Error Function Generate Gaussian Distributed inverse complementary error function Random Numbers Input Arguments x More About Inverse Error Function Tall Array Support Tips See Also This is machine translation Translated by Mouse over text to see original. Click inverse erfc matlab the button below to return to the English verison of the page. Back to English × Translate This Page Select Language Bulgarian Catalan Chinese Simplified Chinese Traditional Czech Danish Dutch English Estonian Finnish French German Greek Haitian Creole Hindi Hmong Daw Hungarian Indonesian Italian Japanese Korean Latvian Lithuanian Malay Maltese Norwegian Polish Portuguese Romanian Russian Slovak Slovenian Spanish Swedish Thai
Inverse Error Function C++
Turkish Ukrainian Vietnamese Welsh MathWorks Machine Translation The automated translation of this page is provided by a general purpose third party translator tool. MathWorks does not warrant, and disclaims all liability for, the accuracy, suitability, or fitness for purpose of the translation. Translate erfinvInverse error functioncollapse all in page Syntaxerfinv(x) exampleDescriptionexampleerfinv(x
) returns the Inverse Error Function evaluated for each element of x. For inputs outside the interval [-1 1], erfinv returns NaN. Examplescollapse allFind Inverse Error Function of ValueOpen Scripterfinv(0.25) ans = 0.2253 For inputs outside [-1,1], erfinv returns NaN. For -1 and 1, erfinv returns -Inf and Inf, respectively.erfinv([-2 -1 1 2]) ans = NaN -Inf Inf NaN Find the inverse error function of the elements of a matrix.M = [0 -0.5; 0.9 -0.2]; erfinv(M) ans = 0 -0.4769 1.1631 -0.1791 Plot the Inverse Error FunctionOpen ScriptPlot the inverse error function for -1 < x < 1.x = -1:0.01:1; y = erfinv(x); plot(x,y) grid on xlabel('x') ylabel('erfinv(x)') title('Inverse Error Function for -1 < x < 1') Generate Gaussian Distributed Random NumbersOpen ScriptGenerate Gaussian distributed random
Search All Support Resources Support Documentation MathWorks Search MathWorks.com MathWorks Documentation Support Documentation Toggle navigation Trial Software Product Updates inverse error function python Documentation Home MATLAB Examples Functions Release Notes PDF Documentation Mathematics Elementary converse error Math Special Functions MATLAB Functions erfinv On this page Syntax Description Examples Find Inverse Error Function
Erfinv C++
of Value Plot the Inverse Error Function Generate Gaussian Distributed Random Numbers Input Arguments x More About Inverse Error Function Tall Array Support Tips See Also This https://www.mathworks.com/help/matlab/ref/erfinv.html is machine translation Translated by Mouse over text to see original. Click the button below to return to the English verison of the page. Back to English × Translate This Page Select Language Bulgarian Catalan Chinese Simplified Chinese Traditional Czech Danish Dutch English Estonian Finnish French German Greek Haitian Creole Hindi Hmong Daw http://se.mathworks.com/help/matlab/ref/erfinv.html;jsessionid=da374a2093da350ad1921c98cd3b?action=changeCountry&s_tid=gn_loc_drop Hungarian Indonesian Italian Japanese Korean Latvian Lithuanian Malay Maltese Norwegian Polish Portuguese Romanian Russian Slovak Slovenian Spanish Swedish Thai Turkish Ukrainian Vietnamese Welsh MathWorks Machine Translation The automated translation of this page is provided by a general purpose third party translator tool. MathWorks does not warrant, and disclaims all liability for, the accuracy, suitability, or fitness for purpose of the translation. Translate erfinvInverse error functioncollapse all in page Syntaxerfinv(x) exampleDescriptionexampleerfinv(x
) returns the Inverse Error Function evaluated for each element of x. For inputs outside the interval [-1 1], erfinv returns NaN. Examplescollapse allFind Inverse Error Function of ValueOpen Scripterfinv(0.25) ans = 0.2253 For inputs outside [-1,1], erfinv returns NaN. For -1 and 1, erfinv returns -Inf and Inf, respectively.erfinv([-2 -1 1 2]) ans = NaN -Inf Inf NaN Find the inverse error function of the elements of a matrix.M = [0 -0.5; 0.9 -0.2]; erfinv(M) ans = 0 -0.4769 1.1631 -0.1791 Plot the Inverse Error FunctionOpen ScriptPlo
X = erfinv(Y) Inverse of the error function Definition The error function erf(X) is twice the integral of http://cens.ioc.ee/local/man/matlab/techdoc/ref/erf.html the Gaussian distribution with 0 mean and variance of:
The https://autarkaw.wordpress.com/tag/inverse-error-function/ complementary error function erfc(X) is defined as: The scaled complementary error function erfcx(X) is defined as: For large X, erfcx(X) is approximately . Description Y = erf(X) returns the value of the error function for each element of real array error function X. Y = erfc(X) computes the value of the complementary error function. Y = erfcx(X) computes the value of the scaled complementary error function. X = erfinv(Y) returns the value of the inverse error function for each element of Y. The elements of Y must fall within the domain Examples erfinv(1) inverse error function is Inf erfinv(-1) is -Inf. For abs(Y) > 1, erfinv(Y) is NaN. Remarks The relationship between the error function and the standard normal probability distribution is: x = -5:0.1:5; standard_normal_cdf = (1 + (erf(x/sqrt(2))))./2; Algorithms For the error functions, the MATLAB code is a translation of a Fortran program by W. J. Cody, Argonne National Laboratory, NETLIB/SPECFUN, March 19, 1990. The main computation evaluates near-minimax rational approximations from [1]. For the inverse of the error function, rational approximations accurate to approximately six significant digits are used to generate an initial approximation, which is then improved to full accuracy by two steps of Newton's method. The M-file is easily modified to eliminate the Newton improvement. The resulting code is about three times faster in execution, but is considerably less accurate. References [1] Cody, W. J., "Rational Chebyshev Approximations for the Error Function," Math. Comp., pgs. 631-638, 1969 [ Previous | Help Desk | Next ]04 Monday Oct 2010 Posted by Autar Kaw in Interpolation, Numerical Methods ≈ 1 Comment TagsInterpolation, inverse error function, matlab In the previous post, https://autarkaw.wordpress.com/2010/09/01/using-int-and-solve-to-find-inverse-error-function-in-matlab/, we found the inverse error function by using the integral and solve MATLAB functions. In this blog, we find the inverse error function by using interpolation. The value of erf(x) is given at discrete data points of x, and we use spline interpolation to find the value of x at a given value of erf(x). The given data points of (x,erf(x)) are (0,0), (0.1,0.1125), (0.25,0.2763), (0.75,0.7112), (1.0,0.8427), (1.5,0.9661), (2.0,0.9953), (5.0,1.000). It is better to download (right click and save target) the program as single quotes in the pasted version do not translate properly when pasted into a mfile editor of MATLAB or you can read the html version for clarity and sample output. %% FINDING INVERSE ERROR FUNCTION % In a previous blog at autarkaw.wordpress.com (Sep 1, 2010), we set up a % nonlinear equation to find the inverse error function. % In this blog, we will solve this equation % by using interpolation. % The problem is given at % http://numericalmethods.eng.usf.edu/blog/inverseerror.pdf % and we are solving Exercise 2 of the pdf file. %% TOPIC % Finding inverse error function %% SUMMARY % Language : Matlab 2008a; % Authors : Autar Kaw; % Mfile available at % http://numericalmethods.eng.usf.edu/blog/inverse_erf_interp_matlab.m; % Last Revised : October 4 2010 % Abstract: This program shows you how to find the inverse error function % using interpolation clc clear all %% INTRODUCTION disp(‘ABSTRACT') disp(‘ This program shows you how to') disp(‘ find the inverse error function') disp(‘ ‘) disp(‘AUTHOR') disp(‘ Autar K Kaw of https://autarkaw.wordpress.com') disp(‘ ‘) disp(‘MFILE SOURCE') disp(‘ http://numericalmethods.eng.usf.edu/blog/inverse_erf_interp_matlab.m') disp(‘ ‘) disp(‘PROBLEM STATEMENT') disp(‘ http://numericalmethods.eng.usf.edu/blog/inverseerror.pdf Exercise 2′) disp(‘ ‘) disp(‘LAST REVISED') disp(‘ October 4, 2010') disp(‘