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llsq.html
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<html>
<head>
<title>
LLSQ - Linear Least Squares Problem for Y = A*X+B
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
LLSQ <br> Linear Least Squares Problem for Y = A*X+B
</h1>
<hr>
<p>
<b>LLSQ</b>
is a FORTRAN90 library which
solves the simple linear least squares problem of finding the formula
of a straight line y=a*x+b which minimizes the root-mean-square error
to a set of N data points.
</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">
Languages:
</h3>
<p>
<b>LLSQ</b> is available in
<a href = "../../c_src/llsq/llsq.html">a C version</a> and
<a href = "../../cpp_src/llsq/llsq.html">a C++ version</a> and
<a href = "../../f77_src/llsq/llsq.html">a FORTRAN77 version</a> and
<a href = "../../f_src/llsq/llsq.html">a FORTRAN90 version</a> and
<a href = "../../m_src/llsq/llsq.html">a MATLAB version</a>.
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../f_src/bvls/bvls.html">
BVLS</a>,
a FORTRAN90 library which
applies least squares methods to solve a linear system for which
lower and upper constraints may have been placed on every variable,
by Charles Lawson and Richard Hanson.
</p>
<p>
<a href = "../../f_src/dqed/dqed.html">
DQED</a>,
a FORTRAN90 library which
solves constrained least squares problems,
by Richard Hanson and Fred Krogh.
</p>
<p>
<a href = "../../f_src/lawson/lawson.html">
LAWSON</a>,
a FORTRAN90 library which
contains routines for solving least squares problems and singular value
decompositions (SVD),
by Charles Lawson, Richard Hanson.
</p>
<p>
<a href = "../../f_src/minpack/minpack.html">
MINPACK</a>,
a FORTRAN90 library which
solves systems of nonlinear equations, or the least squares minimization of the
residual of a set of linear or nonlinear equations.
</p>
<p>
<a href = "../../f_src/nms/nms.html">
NMS</a>,
a FORTRAN90 library which
includes a wide variety of numerical software, including
solvers for linear systems of equations, interpolation of data,
numerical quadrature, linear least squares data fitting,
the solution of nonlinear equations, ordinary differential equations,
optimization and nonlinear least squares, simulation and random numbers,
trigonometric approximation and Fast Fourier Transforms.
</p>
<p>
<a href = "../../f_src/qr_solve/qr_solve.html">
QR_SOLVE</a>,
a FORTRAN90 library which
computes the least squares solution of a linear system A*x=b.
</p>
<p>
<a href = "../../f_src/test_approx/test_approx.html">
TEST_APPROX</a>,
a FORTRAN90 library which
defines test problems for approximation,
provided as a set of (x,y) data.
</p>
<p>
<a href = "../../f_src/test_ls/test_ls.html">
TEST_LS</a>,
a FORTRAN90 library which
implements linear least squares test problems of the form A*x=b.
</p>
<h3 align = "center">
Reference:
</h3>
<p>
<ol>
<li>
David Kahaner, Cleve Moler, Steven Nash,<br>
Numerical Methods and Software,<br>
Prentice Hall, 1989,<br>
ISBN: 0-13-627258-4,<br>
LC: TA345.K34.
</li>
</ol>
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "llsq.f90">llsq.f90</a>, the source code.
</li>
<li>
<a href = "llsq.sh">llsq.sh</a>,
BASH commands to compile the source code.
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
<ul>
<li>
<a href = "llsq_prb.f90">llsq_prb.f90</a>,
a sample calling program.
</li>
<li>
<a href = "llsq_prb.sh">llsq_prb.sh</a>,
BASH commands to compile and run the sample program.
</li>
<li>
<a href = "llsq_prb_output.txt">llsq_prb_output.txt</a>,
the output file.
</li>
</ul>
</p>
<h3 align = "center">
List of Routines:
</h3>
<p>
<ul>
<li>
<b>LLSQ</b> solves a linear least squares problem matching a line to data.
</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 07 March 2012.
</i>
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