[ scientific interests/teaching ]
[ publications ]
[ research colaboration ]
[ math stuff ]
[ non-math stuff ]
[ linux links ]
[ blog ]
my scientific interests are in the area of generalized inverses, thru
an algebraic approach. this includes g.i. of matrices over rings,
partial orderings, g.i. on rings and semigroups...
i did my PhD under supervision of Roland Puystjens, from the RUG, Gent,
Belgium. until he retired, we
continued to do some joint work. part of this work was jointly with R.E.
Hartwig, from NCSU, USA, with whom i have been
working. more recently, two colleagues from my department started to be
interested on generalized inverses, and eventually we submitted and got our papers accepted. one of these
results led to recent research collaboration with nieves castro-gonzalez.
in the meanwhile, among the several courses i taught, some caught my
real interest either by the way
they were taught, or by the course itself. these, occasionally, led to
some course notes.
other math interests include algebraic coding theory (block codes and
convolutional codes) and cryptography.
SOME courses i taught RECENTLY (and enjoyed)
- teoria de codigos - coding theory (with mupad) (2005/06)
- matematica discreta - discrete mathematics (2005/06)
- algebra linear (para engenheiros) - linear algebra (with octave)
- teoria de numeros computacional - computational number theory (with
pari/gp) (2006/07, 2008/09)
Make the Move!
Windows to Linux
list of publications
- roland puystjens, universiteit gent, belgium
- robert e.
hartwig, ncsu, usa
- jerry koliha, university of melbourne, australia
castro-gonzalez, departamento de matematica aplicada, universidad
politecnica de madrid
- claudia mendes araujo, universidade do minho
- antonio veloso da costa, universidade do minho
- xavier mary, universite' paris-ouest
- nestor thome', universitat politecnica de valencia
- leila lebtahi, universitat politecnica de valencia
- huihui zhu, (PhD student, co-supervised with Jianlong Chen), southeast university, nanjing, pr china
- honglin zou, (visiting PhD student), southeast university, nanjing, pr china
- antonio carlos garcia
- yuefeng gao, (PhD student, co-supervised with Jianlong Chen), southeast university, nanjing, pr china
member of the centro de
matematica - cmat, SPM and ILAS
my Erdos numer is 4.
the Erdos number of a person is the length of a shortest chain of joint
mathematical publications leading to the famous mathematician Paul Erdos
(see all about that here). My
(Rodl, Muller), (Muller, Koliha),
P. Erdos and V.
Rodl, Coverings of r-graphs by complete r-partite subgraphs, Random
Structures Algorithms 6 (1995), 2-3.
V. Muller and
V. Rodl, Monotone paths in ordered graphs, Combinatorica
2 (1982), 193-201.
J. J. Koliha,
M. Mbekhta, V. Muller and P. W. Poon, Corigendum and addendum:
"On the axiomatic theory of the spectrum II", Studia
Mathematica 130 (1998), 193-198.
another path (from the mathscinet):
Pedro Patricio coauthored with Robert E. Hartwig
Robert E. Hartwig coauthored with Frank J. Hall
MR0404288 (53 #8090)
Frank J. Hall coauthored with Guantao Chen MR1821633
Guantao Chen coauthored with Paul Erdos MR1215330
Referee for several scientific journals, including ELA-Electronic Linear Algebra, Linear and Multilinear Algebra, Journal of Algebra and Applications, Applied Mathematics Letters, Applied Math and Computation, Journal of the Australian Mathematical Society, Journal of Mathematical Analysis and Applications, and Linear Algebra and Its Applications.
Reviewer for MathSciNet.
i am interested by everything concerning hi-fi, but i am far from being
an audiophile. in any case, i have as an universal digital source a
denon 2900 (super-audio CD, DVD-audio) and a denon 3803 as a receiver.
visonik was the choice for
loudspeakers: two pairs of evolution 6 for front+surround and one
evolution center as central channel. interconnects include nordost, qed
an important source of reviews and news is the home cinema choice site,
with lots of tests and comparisons. discussion foruns i try to follow
include dvdmania, forum hi-fi, avforum, avforums. PT source of news and
NOTICE: this is quite old; i'll update it whenever i find the time and mood :-)
i have been using linux since 2000. i have used mandrake (now mandriva)
and suse (which i really recommed, namely the 10.0). at home i have and
old compaq armada E700 laptop (more like a brick, nowadays), with a
pentium II @ astonishing ;-) 400MHz, together with 128Mb ram and 20G
hard drive. it drags quite a bit, and some patience is required. it is
running mepis, a former debian based
distro, and since 2006 a ubuntu based distro (screenshot here). at my office, i was fortunate enough
to receive a 3.0GHz dual core pentium, with 512Mb ram. after using
mepis, i experienced and was delighted to use kororaa, a gentoo based distro, with XGL support
(see screenshots here and here). i have, in october '06, upgraded to
Kororaa AIGLXgl (v 0.3), running on AIXGL (screenshot here and here).
in the labs i use fedora-core, and centOS in our server (where this page
preferred software: the firefox family, kile+latex,
octave/pari-gp/mupad, emacs, vi ;-) and kwrite, gimp (!), openoffice for
received (M$)office documents.
info on this subject can be found at /., and it's portuguese version gildot. i also check for news and
discussions in the spanish barrapunto and in the brazilian vivaolinux. i keep track on the
distro's update by checking (RSS feeds!!!) distrowatch.com, osnews.com and desktoplinux.com.