Inverse Complementary Error Function Matlab
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Trials Product Updates Documentation Home MATLAB Examples Functions inverse error function calculator Release Notes PDF Documentation Mathematics Elementary Math Special Functions MATLAB Functions erfcinv On this python inverse error function page Syntax Description Examples Find Inverse Complementary Error Function Avoid Roundoff Errors Using Inverse Complementary Error Function Input Arguments x More
Matlab Complementary Error Function
About Inverse Complementary Error Function Tall Array Support Tips See Also This 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
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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 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 erfcinvInverse complementary error functioncollapse all in page Syntaxerfcinv(x) exampleDescriptionexampleerfcinv(x
) returns the value of the Inverse Complementary Error Function for each element of x. For inputs outside the interval [0 2], erfcinv returns NaN. Use the erfcinv function to replace expressions containing erfinv(1-x) for greater accu
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PDF Documentation Mathematics Elementary Math Special Functions MATLAB Functions erfinv On this page Syntax Description complementary error function table Examples Find Inverse Error Function of Value Plot the Inverse Error Function Generate Gaussian Distributed Random Numbers Input Arguments x More About Inverse Error http://de.mathworks.com/help/matlab/ref/erfcinv.html Function Tall Array Support Tips See Also This 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 https://www.mathworks.com/help/matlab/ref/erfinv.html 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 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 th
= erfcinv(Y) Inverse complementary error function Definition The error function erf(X) is twice the integral of the Gaussian distribution with 0 mean http://www.obs.ujf-grenoble.fr/scci/logiciels/matlab61/help/techdoc/ref/erf.html and variance of . The 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 X. Y = erfc(X) computes the value of the complementary error function. Y = error function 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. Elements of Y must be in the interval [-1 1]. The function erfinv satisfies for and . X = erfcinv(Y) returns the value of the inverse of the complementary error function for complementary error function each element of Y. Elements of Y must be in the interval [0 2]. The function erfcinv satisfies for and . Remarks The relationship between the complementary error function erfc and the standard normal probability distribution returned by the Statistics Toolbox function normcdf is The relationship between the inverse complementary error function erfcinv and the inverse standard normal probability distribution returned by the Statistics Toolbox function norminv is Examples erfinv(1) is Inf erfinv(-1) is -Inf. For abs(Y) > 1, erfinv(Y) is NaN. 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 one step of Halley's method. References [1] Cody, W. J., "Rational Chebyshev Approximations for the Error Function," Math. Comp., pgs. 631-638, 1969 epserror