betaln

Logarithm of beta function

Syntax

L = betaln(Z,W)


Description

L = betaln(Z,W) computes the natural logarithm of the beta function log(beta(Z,W)), for corresponding elements of arrays Z and W, without computing beta(Z,W). Since the beta function can range over very large or very small values, its logarithm is sometimes more useful.

Z and W must be real and nonnegative. They must be the same size, or either can be scalar.

Examples

Compute Natural Log of Beta Function

Compute the natural logarithm of the beta function according to the value of X without directly computing the beta function. beta(X,X) results in floating point arithmetic underflow.

X = 510;
betaln(X,X)

ans = 
-708.8616

Algorithms

betaln(z,w) = gammaln(z)+gammaln(w)-gammaln(z+w)

Extended Capabilities

Tall Arrays

Calculate with arrays that have more rows than fit in memory.

The betaln function fully supports tall arrays. For more information, see Tall Arrays.

C/C++ Code Generation
Generate C and C++ code using MATLAB® Coder™.

Thread-Based Environment

Run code in the background using MATLAB® backgroundPool or accelerate code with Parallel Computing Toolbox™ ThreadPool.

This function fully supports thread-based environments. For more information, see Run MATLAB Functions in Thread-Based Environment.

GPU Arrays

Accelerate code by running on a graphics processing unit (GPU) using Parallel Computing Toolbox™.

The betaln function fully supports GPU arrays. To run the function on a GPU, specify the input data as a gpuArray (Parallel Computing Toolbox). For more information, see Run MATLAB Functions on a GPU (Parallel Computing Toolbox).

Distributed Arrays

Partition large arrays across the combined memory of your cluster using Parallel Computing Toolbox™.

This function fully supports distributed arrays. For more information, see Run MATLAB Functions with Distributed Arrays (Parallel Computing Toolbox).

Version History

Introduced before R2006a