Description
TomSym is complete modeling environment in Matlab with support for most built-in mathematical operators in Matlab. It is a combined modeling, compilation and interface to the TOMLAB solvers. The matrix derivative of a matrix function is a fourth rank tensor - that is, a matrix each of whose entries is a matrix. Rather than using four-dimensional matrices to represent this, TomSym continues to work in two dimensions. This makes it possible to take advantage of the very efficient handling of sparse matrices in Matlab, which is not available for higher-dimensional matrices.
TomSym has a variety of functions, among them:
- Ability to transform expressions and generate analytical first and second order derivatives, including sparsity patterns.
- Interfaced and compatible with MAD, i.e. MAD can be used when symbolic modeling is not suitable.
- Numerical differentiation can be used to parts of the model.
- Functionality for plotting and computing a variety of information for the solution to the problem.
- Support for if, then, else statements.
- Ability to analyze p-coded Matlab files.
- Automated code simplification for generated models, for example.
- Multiplication by 1 or the identity matrix is eliminated: 1*A = A
- Addition/subtraction of 0 is eliminated: 0+A = A
- All-same matrices are reduced to scalars: +x = 3+x
- Scalars are moved to the left in addition/subtraction: A-y = -y+A
- Inverse operations cancel: sqrt(x)^2 = x
Read more about this topic: Tom Sym
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