MaplePortal/ConnectingToMATLAB

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Connecting to MATLAB

The Matlab package provides users with commands to communicate with MATLAB directly from their Maple sessions, and to translate existing MATLAB routines to Maple code. The commands found in the Matlab package can be accessed by loading the package into the Maple workspace using the command.

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See Configuring a Computer for MATLAB for details on how to configure the Maple-MATLAB link.

	Opening a connection to MATLAB
	Communication between Maple and MATLAB is established through the call.

Evaluating MATLAB expressions in Maple

The Matlab package in Maple gives users the ability to evaluate expressions and perform Matrix operations on Matrices, defined and stored in Maple or MATLAB, directly in MATLAB. The package provides you with two methods to evaluate your expressions in MATLAB. These methods will be elaborated upon in the next two sections.

Evaluation in MATLAB using the , and commands

Maple expressions can be evaluated in MATLAB using the , and commands. More information about these commands can be found in the help system by typing the following commands into the worksheet: , and

The command evaluates the expression in MATLAB. The command assigns a value to a variable in MATLAB, while the command returns the result stored in a MATLAB variable. The next two examples illustrate how to use these commands.

Example 1

The version of MATLAB with which the Maple-MATLAB connection is established can be determined using the and commands:

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** Note: MATLAB returns the result of any expression in a variable called ans if no other variable has been specified by the user.

Example 2

The following example calculates the product of two Matrices, , in MATLAB and returns the result in Maple. The Matrices are defined in both Maple and MATLAB.

Matrix([[56, 12, 2], [4, 9, 2], [6, 2, 35]])

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Matrix([[23, 2, 5], [1, 84, 2], [7, 16, 4]])

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The Matrices defined in and are copied to the MATLAB variables and using the command.

The command can be used to ensure that the variables defined in and were actually stored

in the variable and . As expected, the command returns if a variable is defined in MATLAB, and otherwise.

The product of the two Matrices can now be calculated in MATLAB.

Matrix([[3.56840077071291, .834296724470135, -3.32562620423892], [.130539499036609, .132707129094412, -.313342967244701], [-5.26685934489403, -1.49084778420039, 15.8232177263969]])

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Evaluation in MATLAB using pre-defined commands in the Matlab package

The Matlab package also provides the users with the ability to perform several Matrix manipulation operations in MATLAB without the explicit use of the , and commands. These commands are listed in the table below:

	compute the Cholesky factorization of a Matrix (defined in Maple or MATLAB) using MATLAB
	compute the determinant of a Matrix (defined in Maple or MATLAB) using MATLAB
	compute the eigenvalues of a Matrix (defined in Maple or MATLAB) using MATLAB
	compute the discrete Fourier transform of a vector in MATLAB
	compute the inverse of a Matrix (defined in Maple or MATLAB) using MATLAB
	compute the LU decomposition of a Matrix (defined in Maple or MATLAB) using MATLAB
	compute the QR orthogonal-triangular decomposition of a Matrix (defined in Maple or MATLAB) using MATLAB
	compute the size of a Matrix (defined in Maple or MATLAB) using MATLAB
	compute the transpose of a (defined in Maple or MATLAB) using MATLAB

For instance, using the command, the determinant of a Matrix can be evaluated directly in MATLAB, and the result will be automatically returned in Maple. It is important to note, that all of the commands listed in the table above can be applied to Matrices defined in both Maple and MATLAB.

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It is important to remember, that the Matrix defined in the variable is stored in MATLAB and not in Maple.

Calling a MATLAB 'm file' into Maple

Another very useful feature of the Matlab package is the ability to use a pre-existing MATLAB functions in the Maple environment. The following example calculates the Fibonacci Sequence using a MATLAB function which generates the Fibonacci number for different values of .

The following command is used to change the MATLAB working directory to the location of the .m file.

C:\Program Files\Maple 13\data/134portal/134FibonacciNum.m

We can run the FibonacciNum function directly from Maple using the command.

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We can also write a Maple procedure that generates a Fibonacci Sequence based on the FibonacciNum MATLAB command.

Fibonacci := proc (n) local fib, i; fib := Vector(n); for i to n do setvar("n", i); evalM("x=FibonacciNum(n)"); fib(i) := getvar("x") end do; return fib end proc

Executing the procedure defined above, returns a vector which contains the Fibonacci numbers for

Matrix(%id = 151852136)

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Translating a MATLAB 'm file' into Maple code

The Matlab package in Maple also gives us the ability to translate an 'm file' into Maple code. Translation is achieved using the command. More information on this command and the options associated with it can be found in the help system by typing:

The following example illustrates how the FibonacciNum.m file which was discussed in the previous section can be translated in Maple code.

$"C:\Program Files\Maple 13\data/portal/FibonacciNum.m"$

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Warning, `k` is implicitly declared local to procedure `FibonacciNum`

The warning statements generated above act as a means of informing the user that the loop variable, , and the variable, , were converted to local variables by Maple.