MATSYM - symbolic matrix processor

Author: Filaretov V.V.

User's manual for MATSYM program

MATSYM.exe will allow you to solve linear algebraic systems AX=B in the form of a ratio of two nested determinant expressions. All matrix parameters have been presented in a symbolic form. Currently only order of matrix is less than 190. A computational complexity expressions is minimized to include optimal of operations and characters.

To use the program you will need a MAT file (liked CIR file: "User manual for CIRSYM program") of your system. MAT file examples have been enclosured: !.mat, !!.mat, fad4.mat, las5.mat, las6.mat, las7.mat, hil8.mat, anal9.mat, gin40.mat.

SYSTEM DATA ENTRY

In first string of MAT file enter any text you want to be the title of your system. Both Rows and columns of matrix should be arbitrary numbered by integers. Maximum row (column) number is 190. Starting from string 2 (if is not comments - "*") enter the system element name, incident row and column and, optionally, its value. The first letter of the name indicates the element type: "A", if this is matrix element, or "B", if this is vector element. The last case omits column number. Element values are not used directly by MATSYM, but these values will be written to a file "out" or "*.out" for CALCSYM program.

```*    The following elements are accepted by MATSYM-2000:
*
* Matrix element
*
Aname n1 n2 value
*
* Vector element
*
Bname n1 value
*
* Command of X vector calculation
*
.Xname n1
*
* Command of matrix determinant calculation
*
.DET
*
*      In order to calculate cofactor and multiple cofactor, ideal
* (invinite) matrix element must be specified. This is done
* by placing the following line at the element list:
*
* Ideal N-element
*
Nname n1 n2
*
* Ideal (invinite) matrix element will allow you to solve linear
* algebraic systems AX=B with infinite matrix element (without a
* passage to the limit)
*
*                      End of MAT file
.END
*
*
*      The file "system_file_name.MAT" or symply "MAT"  can be
* created, viewed and modified with any text editor.
*```

EXECUTION

To generate a solution, run MATSYM.exe and enter "system_file_name.CIR" or click on the "ENTER" (in "MAT" case).
In the first option can generate system_file_name.OUT file or in the last option (by default) can generate OUT file. These files can use for investigations and numeric calculations by means of CALCSYM program.

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