Which MATLAB functions benefit from multithreaded computation?
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MathWorks Support Team 2013-6-26
As of MATLAB 7.4 (R2007a), MATLAB supports multithreaded computation for a number of functions and expressions that are combinations of element-wise functions (e.g. y=4*x*(sin(x) + x^3)). These functions automatically execute on multiple threads and you do not need to explicitly specify commands to create threads in your code.
For a function or expression to execute faster (speed up) on multiple cores, the following conditions must be true:
1) The operations in the algorithm carried out by the function are easily partitioned into sections that can be executed concurrently, and with little communication or few sequential operations required. This is the case for all element-wise operations.
2) The data size is large enough so that any advantages of concurrent execution outweigh the time required to partition the data and manage separate execution threads. For example, most functions speed up only when the array is greater than several thousand elements.
3) The operation is not memory-bound where the processing time is dominated by memory access time, as is the case for simple operations such as element-wise addition. As a general rule, more complex functions speed up better than simple functions.
The following functions include multithreaded implementations as of MATLAB 7.14 (R2012a); this list is not exhaustive, and other MATLAB functions may be multithreaded by virtue of being implemented atop the functions listed below. Also note that multithread implementations may not apply to all arguments combinations and data types/shapes/sizes. Functions are listed here in the order they appear in the MATLAB documentation.
Arrays and matrices
•Basic information: ISFINITE, ISINF, ISNAN, MAX, MIN
•Operators: +, -, .*, ./, .\, .^, *, ^, \ (MLDIVIDE), / (MRDIVIDE)
•Array operations: PROD, SUM
•Array manipulation: BSXFUN, SORT
•Matrix Analysis: DET, RCOND
•Linear Equations: CHOL, INV, LDL, LINSOLVE, LU, QR
•Eigenvalues and singular values: EIG, HESS, SCHUR, SVD, QZ
•Trigonometric: ATAN2, COS, CSC, HYPOT, SEC, SIN, TAN, including variants for radians, degrees, hyperbolics, and inverses.
•Exponential: EXP, POW2, SQRT
•Rounding and remainder: CEIL, FIX, FLOOR, MOD, REM, ROUND
•LOG, LOG2, LOG10, LOG1P, EXPM1, SIGN, BITAND, BITOR, BITXOR
•ERF, ERFC, ERFCINV, ERFCX, ERFINV, GAMMA, GAMMALN
•CONV2, FILTER, FFT and IFFT of multiple columns or long vectors, FFTN, IFFTN