MATLAB

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MATLAB

(mathematics, language, application)
A high-level language and interactive program from The MathWorks for numeric computation and visualisation. MATLAB supports numerical analysis, matrix computation, signal processing, linear algebra, statistics, Fourier analysis, filtering, optimisation and numerical integration. It can output two and three dimensional graphics and can be integrated with C, C++, Fortran, Java, COM and Microsoft Excel.

http://mathworks.com/products/matlab/.

MATLAB

(MATrix LABoratory) A programming language for technical computing from The MathWorks, Natick, MA (www.mathworks.com). Used for a wide variety of scientific and engineering calculations, especially for automatic control and signal processing, MATLAB runs on Windows, Mac and a variety of Unix-based systems. Developed by Cleve Moler in the late 1970s and based on the original LINPACK and EISPACK FORTRAN libraries, it was initially used for factoring matrices and solving linear equations. Moler commercialized the product with two colleagues in 1984. MATLAB is also noted for its extensive graphics capabilities. The following MATLAB commands generate the 3D graph below:

```     x=(0:2*pi/20:2*pi)';
y=(0:4*pi/40:4*pi)';
[X,Y] = meshgrid(x,y);
z= cos(X).*cos(2*Y);
surf (x,y,z);
```

The Resulting Graph This graph was computed from the lines of code above and is an example that might be used in multivariate calculus. (Image courtesy of Dr. Mark S. Gockenbach, Michigan Technological University, www.math.mtu.edu/~msgocken/intro/intro.html)
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The ANN analysis was applied by using the Matlab (2014) software, neural mounting tool (nntool) toolbox.
This predictor has been developed on Intel core 2 Duo CPU 2.10 GHz, 2GB RAM, Windows 7 32-bit OS using NNtool and GA Tool of MATLAB.
By varying the number of neurons at hidden layer of OHFNN architecture, the optimal neural architecture of OHFNN is 16-19-1 for traingdm and traingda training methods of NNtool. The performance graphs of OHFNN 16-19-1 with traingda and OHFNN 16-19-1 with traingdm are shown in Figures 1 and 2, respectively.
MATLAB 2012 has been used for simulations while nntool and optimtool, MATLAB toolboxes, are used for implementing memory and the GA based simulations, respectively.

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