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<html>
<head>
<title>
MATMAN - An Interactive Matrix Manipulator
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055" >
<h1 align = "center">
MATMAN <br> The Matrix Manipulator
</h1>
<hr>
<p>
<b>MATMAN</b>
is a FORTRAN90 program which
allows an interactive user to define a matrix and carry out
the individual steps of certain algorithms.
</p>
<p>
The program is intended to do the arithmetic correctly, while forcing
a student to specify the correct sequence of operations to transform
an arbitrary matrix into row echelon form.
</p>
<p>
<b>MATMAN</b> was developed by Professor Charles Cullen of the University
of Pittsburgh, and John Burkardt, itinerant programmer.
</p>
<p>
<b>MATMAN</b> features include:
<ul>
<li>
<i>Interactivity</i>: students prescribe each row operation;
</li>
<li>
<i>Accuracy</i>: <b>MATMAN</b> does the arithmetic operations;
</li>
<li>
<i>Flexibility</i>: rational, real or decimal arithmetic may be used;
</li>
<li>
<i>Affordability</i>: the price is right (it's freeware);
</li>
<li>
<i>Portability</i>: complete FORTRAN source code available, executes
on IBM (DOS or Windows), Mac (68K or PPC), UNIX, VMS.
</li>
<li>
<i>Repeatability</i>: A transcript file records all work;
</li>
<li>
<i>Improvability</i>: The developers are responsive to user requests.
</li>
</ul>
</p>
<p>
<b>MATMAN</b> allows the user to:
<ul>
<li>
Request a sample problem, or type in a new one;
</li>
<li>
Choose decimal, integer, rational or real arithmetic;
</li>
<li>
Specify row or column operations in a natural form: "R1 <= 3 R1 + R2";
</li>
<li>
Determine if the matrix is in row echelon form;
</li>
</ul>
</p>
<h3 align = "center">
Licensing:
</h3>
<p>
The computer code and data files described and made available on this web page
are distributed under
<a href = "../../txt/gnu_lgpl.txt">the GNU LGPL license.</a>
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<b>MATMAN</b> is available in
<a href = "../../f77_src/matman/matman.html">a FORTRAN77 version</a> and
<a href = "../../f_src/matman/matman.html">a FORTRAN90 version</a>.
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "matman.f90">matman.f90</a>, the source code;
</li>
<li>
<a href = "matman.sh">matman.sh</a>, commands to
compile and load the source code;
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
<ul>
<li>
<a href = "input.txt">input.txt</a>, a sample set of input;
</li>
<li>
<a href = "output_sgi.txt">output_sgi.txt</a>,
the output file.
</li>
</ul>
</p>
<h3 align = "center">
List of Routines:
</h3>
<p>
<ul>
<li>
<b>MAIN</b> is the main program for MATMAN.
</li>
<li>
<b>CH_CAP</b> capitalizes a single character.
</li>
<li>
<b>CH_EQI</b> is a case insensitive comparison of two characters for equality.
</li>
<li>
<b>CH_IS_ALPHA</b> returns TRUE if C is an alphabetic character.
</li>
<li>
<b>CH_IS_DIGIT</b> returns .TRUE. if a character is a decimal digit.
</li>
<li>
<b>CH_TO_DIGIT</b> returns the integer value of a base 10 digit.
</li>
<li>
<b>CHANGE</b> allows the user to change an entry in the array.
</li>
<li>
<b>CHRCTF</b> reads an integer or rational fraction from a string.
</li>
<li>
<b>CHRCTG</b> reads an integer, decimal fraction or a ratio from a string.
</li>
<li>
<b>CHRINP</b> requests new input if the LINE buffer is empty.
</li>
<li>
<b>COL_ADD</b> adds a multiple of one column to another.
</li>
<li>
<b>COL_ADD_PARAM</b> gets and checks the column add parameters.
</li>
<li>
<b>COL_APP</b> allows the user to append a column to the matrix.
</li>
<li>
<b>COL_AUTO</b> automatically column reduces the current matrix.
</li>
<li>
<b>COL_DIV</b> divides a column of the matrix by a scale factor.
</li>
<li>
<b>COL_DIV_PARAM</b> gets and checks the column divide parameters.
</li>
<li>
<b>COL_MUL</b> multiplies a column of the matrix by a scale factor.
</li>
<li>
<b>COL_MUL_PARAM</b> gets and checks the column multiply parameters.
</li>
<li>
<b>COL_OP_CHECK</b> checks for commands given in the form of ECO's.
</li>
<li>
<b>COL_SWAP</b> swaps two columns of a matrix.
</li>
<li>
<b>DEC_ADD</b> adds two decimal quantities.
</li>
<li>
<b>DEC_DIGIT_SET</b> allows the user to specify the number of decimal digits.
</li>
<li>
<b>DEC_DIV</b> divides two decimal values.
</li>
<li>
<b>DEC_MUL</b> multiplies two decimals.
</li>
<li>
<b>DEC_PRINT</b> prints out decimal vectors and matrices.
</li>
<li>
<b>DEC_READ</b> reads a decimal, rational or integer, and returns a decimal fraction.
</li>
<li>
<b>DEC_ROUND</b> rounds a decimal fraction to a given number of digits.
</li>
<li>
<b>DEC_TO_R4</b> converts a decimal ITOP * 10**IBOT to an R4.
</li>
<li>
<b>DEC_TO_RAT</b> converts a decimal to a rational representation.
</li>
<li>
<b>DEC_TO_S_LEFT</b> returns a left-justified representation of IVAL * 10**JVAL.
</li>
<li>
<b>DIGIT_TO_CH</b> returns the character representation of a decimal digit.
</li>
<li>
<b>FORM</b> converts from one arithmetic form to another.
</li>
<li>
<b>HELLO</b> greets the user on startup.
</li>
<li>
<b>HELP</b> prints out a brief list of the available commands.
</li>
<li>
<b>I4_DATA</b> stores and retrieves common data items.
</li>
<li>
<b>I4_GCD</b> finds the greatest common divisor of I and J.
</li>
<li>
<b>I4_PRINT</b> prints out integer vectors and matrices.
</li>
<li>
<b>I4_RANDOM</b> returns a random integer in a given range.
</li>
<li>
<b>I4_READ</b> reads an integer from the input buffer.
</li>
<li>
<b>I4_SWAP</b> switches two integer values.
</li>
<li>
<b>I4_TO_S_LEFT</b> converts an integer to a left-justified string.
</li>
<li>
<b>INIT</b> initializes the data.
</li>
<li>
<b>LA_INP1</b> accepts the values of the entries of a matrix from the user.
</li>
<li>
<b>LA_OPT</b> checks for row echelon or reduced row echelon form.
</li>
<li>
<b>MAT_APPEND_IDENTITY</b> appends the identity matrix.
</li>
<li>
<b>MAT_PRINT</b> prints out the matrix.
</li>
<li>
<b>R4_PRINT</b> prints out real vectors and matrices.
</li>
<li>
<b>R4_READ</b> "reads" a real value from a line of text.
</li>
<li>
<b>R4_SWAP</b> switches two real values.
</li>
<li>
<b>R4_TO_DEC</b> converts a real value to a decimal fraction form.
</li>
<li>
<b>R4_TO_RAT</b> converts a real value to a rational value.
</li>
<li>
<b>R4_TO_S_LEFT</b> represents a real using 14 left_justified characters.
</li>
<li>
<b>R8_TO_DEC</b> converts an R8 to a decimal representation.
</li>
<li>
<b>RAT_ADD</b> adds two rational values.
</li>
<li>
<b>RAT_MUL</b> multiplies two fractions.
</li>
<li>
<b>RAT_PRINT</b> prints out rational vectors or matrices.
</li>
<li>
<b>RAT_READ</b> reads a rational value, expressed as integer, decimal or fraction.
</li>
<li>
<b>RAT_TO_DEC</b> converts a rational value to a decimal value.
</li>
<li>
<b>RAT_TO_R4</b> converts rational values to R4s.
</li>
<li>
<b>RAT_TO_S_LEFT</b> returns a left-justified representation of IVAL/JVAL.
</li>
<li>
<b>ROW_ADD</b> adds a multiple of one row to another.
</li>
<li>
<b>ROW_ADD_PARAM</b> gets and checks the row add parameters.
</li>
<li>
<b>ROW_AUTO</b> automatically row reduces the current matrix.
</li>
<li>
<b>ROW_DIV</b> divides row IROW of the A matrix by a scale factor.
</li>
<li>
<b>ROW_DIV_PARAM</b> gets and checks the row divide parameters.
</li>
<li>
<b>ROW_MUL</b> multiplies a row of the matrix by a scale factor.
</li>
<li>
<b>ROW_MUL_PARAM</b> gets and checks the row multiply parameters.
</li>
<li>
<b>ROW_OP_CHECK</b> checks for commands given in the form of ERO's.
</li>
<li>
<b>ROW_SWAP</b> swaps two rows of a matrix.
</li>
<li>
<b>S_BLANK_DELETE</b> removes blanks from a string, left justifying the remainder.
</li>
<li>
<b>S_BLANKS_DELETE</b> replaces consecutive blanks by one blank.
</li>
<li>
<b>S_CAP</b> replaces any lowercase letters by uppercase ones in a string.
</li>
<li>
<b>S_CHOP</b> "chops out" a portion of a string, and closes up the hole.
</li>
<li>
<b>S_EQI</b> is a case insensitive comparison of two strings for equality.
</li>
<li>
<b>S_READ</b> extracts a character string from the input buffer.
</li>
<li>
<b>S_TO_DEC</b> reads a number from a string, returning a decimal result.
</li>
<li>
<b>S_TO_I4</b> reads an I4 from a string.
</li>
<li>
<b>S_TO_R4</b> reads an R4 from a string.
</li>
<li>
<b>PROBLEM_SOLVE_RANDOM</b> sets up a random linear system problem.
</li>
<li>
<b>SIZE_SET</b> allows the user to specify the size of a new problem.
</li>
<li>
<b>MAT_RANDOM</b> sets up a random problem.
</li>
<li>
<b>VALUE_READ</b> allows the user to specify one entry in the array.
</li>
<li>
<b>TIMESTAMP</b> prints the current YMDHMS date as a time stamp.
</li>
</ul>
</p>
<p>
You can go up one level to <a href = "../f_src.html">
the FORTRAN90 source codes</a>.
</p>
<hr>
<i>
Last revised on 12 November 2006.
</i>
<!-- John Burkardt -->
</body>
</html>