Mathematics, MATLAB Version 7.4 (R2007a) :: Version 7.4 (R2007a) MATLAB Software (MATLAB®)

Function	Description
`bsxfun`	Applies an element-by-element binary operation to two full arrays with singleton expansion enabled
`ilu`	Performs the sparse incomplete LU factorization

More Efficient Matrix Multiplication for Sparse Matrices

Matrix multiplication for A'*b now handles sparse matrices more efficiently.

rand Function Uses the Mersenne Twister Algorithm as Default

The rand function now uses the Mersenne Twister algorithm as default generator algorithm. This method generates double precision values in the closed interval [2^(-53), 1-2^(-53)], with a period of (2^19937-1)/2. Prior to this release, MATLAB used an algorithm known as the Subtract-with-Borrow (SWB) algorithm.

The rand function now produces different results than in previous releases. However, the results returned are still pseudorandom values drawn from a standard uniform distribution. Because the values returned by rand are intended to be random, this change should not affect your code.

Compatibility Considerations

There are several things to keep in mind regarding this change:

If your code requires the exact values returned by rand in previous releases, you should use the statement
```
 rand('state',0);
```
to reset rand to use the SWB algorithm. The new default algorithm's internal state at startup is equivalent to using the statement
```
rand('twister',5489);
```
Note that the 'state' keyword corresponds specifically to the SWB algorithm; it cannot be used generally to refer to the internal state of the currently active algorithm.
Existing code that uses the 'state' keyword to reinitialize rand in a statement such as
```
rand('state',sum(100*clock))
```
causes rand to switch to using the SWB algorithm. You may want to use the 'twister' keyword, which resets rand but does not switch algorithms.
Existing code that uses the 'state' keyword to save and restore the internal state of rand in statements such as
```
   savedState = rand('state');
    ...                            % code that uses rand
   rand('state',savedState);
```
may no longer work as intended. Specifically, the first line of code saves the state of the SWB generator algorithm (see the rand documentation for details). If the default Mersenne Twister algorithm was the active one at that time, then using the saved state in the last line does not restore the rand internal state to its original conditions. Instead, it switches the rand algorithm to SWB. To save and restore the internal state of the Mersenne Twister algorithm, use the 'twister' keyword.

Upgrade to BLAS Libraries

MATLAB now uses new versions of the Basic Linear Algebra Subroutine (BLAS) libraries. For Windows, Intel Mac, and Intel processors on Linux platforms, MATLAB supports the Intel Math Kernel Library (MKL) version 9.0. For AMD processors on Linux platforms, MATLAB uses the AMD Core Math Library (ACML) version 3.5. For the Solaris platform, MATLAB uses the Sun Performance Library from Sun Studio 11.

mode of Empty Array Now Returns NaN

The mode function, when operating on an empty array ([]), returns a 1-by-0 array in previous releases, while related functions mean, median, std, and var return NaN when given the same input. In this release, mode returns NaN for an empty array input.

Compatibility Considerations

Existing program code that relies on mode of an empty array to return an empty array should be modified.

Change to Syntax for Setting BLAS Library Version on Linux

If you change the BLAS library used by MATLAB on Linux platforms, MATLAB now loads libraries in the left-to-right order specified in the syntax. For example, to load the Intel MKL BLAS, from a system prompt, run