Copyright 2010,2011,2013,2017,2018,2020,2021,2023,2024
Igor Zhuravlov
See the accompanying file COPYING.LESSER, version 2007-Jun-29
or later for terms of use. If, for some reason it is missing,
the mt license also may be found at:
<http://www.gnu.org/licenses/>
'Matrix toolbox' addon for J language
mt is a set of routines for solving some problems in matrix
algebra: transforming, decomposing, reducing to condensed
form, factorization, equation solving, function applying,
condition number estimating. Its algorithms are based on
those from LAPACK [1], RRQR [2, 3] and SLICOT [4] libraries.
Project homepage:
http://code.jsoftware.com/wiki/Addons/math/mt
Authors:
see AUTHORS file
TODO:
see TODO file
References:
[1] Anderson, E. and Bai, Z. and Bischof, C. and Blackford,
S. and Demmel, J. and Dongarra, J. and Du Croz, J. and
Greenbaum, A. and Hammarling, S. and McKenney, A. and
Sorensen, D. (1999). LAPACK Users' Guide. (3rd).
Philadelphia, PA: Society for Industrial and Applied
Mathematics.
http://www.netlib.org/lapack
[2] C. H. Bischof, G. Quintana-Ortí. Computing Rank-Revealing
QR Factorizations of Dense Matrices. ACM Transactions on
Mathematical Software, June 1998, Vol. 24, No. 2, pp.
226-253.
https://doi.org/10.1145/290200.287637
[3] C. H. Bischof, G. Quintana-Ortí. Algorithm 782: Codes for
Rank-Revealing QR Factorizations of Dense Matrices. ACM
Transactions on Mathematical Software, June 1998, Vol.
24, No. 2, pp. 254-257.
http://www.netlib.org/toms/782
[4] Benner, P., Mehrmann, V., Sima, V., Van Huffel, S., and
A. Varga: "SLICOT - A Subroutine Library in Systems and
Control Theory", June 1997, NICONET Report 97-3; also
in "Applied and Computational Control, Signal and
Circuits" (Biswa N. Datta, Ed.), Birkauser, vol. 1, ch.
10, pp. 499-539, 1999, ISBN 0-8176-3954-2,
3-7643-3954-3, ISSN 1522-8363.
http://www.slicot.org/