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Name: |
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José da
Silva Lourenço Vitória |
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Position: |
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Full Professor (Retired) |
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Current Address: |
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Universidade de Coimbra 3001—454 Coimbra-PORTUGAL |
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E-mail: |
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Phone: |
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351
239 791150 |
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Fax: |
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351 239 832568 |
Education
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Habilitation |
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in Pure
Mathematics, |
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Ph.
D. |
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in
Mathematics, |
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B. Sc. |
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in Mathematical
Sciences, |
Professional Experience
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1988 –2003 |
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Full Professor,
Department of Mathematics, |
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1979 – 1988 |
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Associate
Professor, Department of Mathematics, |
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1977 – 1979 |
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Assistant
Professor, Department of Mathematics, |
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1975 – 1977 |
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Assistant Professor,University of Lourenço Marques/Maputo – Mozambique |
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1968 – 1975 |
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AssistantLecturer, University of Lourenço Marques/Maputo – Mozambique |
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1966 – 1968 |
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Teaching
Assistant, |
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1964–1965 |
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Portuguese
Army Under-Lieutenant( |
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1962–1963 |
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Portuguese Army Junior Officer (Portugal) |
Research Interests
Matrix Analysis in Control Theory, Didactics of
Mathematics.
Publications
1. Vitória,J; Tadeu,P; Costa,C, Martins, Serôdio,R,” Points on a Plane
Closest to a Point, when Measuring with
1-Norm and Infinity-Norm”, Proceedings of the International
Conference in Mathematics, Sciences and Science Education,Aveiro,pp :29--31. 2006
2. Martins,F;
Pereira,E ;
Vitória,J,”Matrix Deflation”, Proceedings of the
International Conference in
Mathematics, Sciences and Science Education, Aveiro, pp:147--151. 2006
3.Pereira,E;Serôdio,R;Vitória,J “
Newton’s Method for Matrix Polynomials”,in Differential Equations and Applications
,Volume 5,Chapter11, edited by Yeol Je Cho,Jong Kyu
Kim and Ki Sik Ha ,Nova Science
Publishers, New York,2006
4. Costa,C ; Vitória,J “Bounds for the Eigenvalues and the Singular
Values of Block-Schwarz Matrix”, em Inequality
Theory and Applications ,Volume
5,Chapter4, edited
by Yeol
J. Cho, Jong K. Kim andSever
S. Dragomir,, Nova Science Publishers , New York,
2006.
5.Martins, Fernando; Pereira, Edgar; Vitória, José Block
compound matrices and differential matrix equations. Far East J. Appl. Math. 17 (2004),
no.
2, 221--242. (Reviewer: Vladimir P. Kostov) MR2134348 (2006c:15018)
6.Pereira,
Edgar; Vitória, José On difference matrix equations. Proceedings
of the Sixth International Conference on Difference Equations, 515--522, CRC,
7.On a Block Singular Value Problem Acta Technica Acad. Sci. Hung., 108(1-2) (1997-1999),[2001] 27–40,(with Cecília Costa, T. Pedroso de Lima)
8.Computing
the Zeros of Quaternion Polynomials, Computers and Mathematics with Applications
42(2001)1229-1237, (with Edgar Pereira, Rogério Serôdio)
9.Deflation
for Block Eigenvalues of Block Partitioned Matrices
with an Application to Matrix Polynomials of Commuting Matrices,Computers and Mathematics with Applications 42 (2001) 1177-1188, (with
Edgar Pereira)
10.On the
Newton’s Method to Solve Matrix Polynomial Equations, CD-ROM Proc. 4th
Portuguese Conference on Automatic Control, pp. 625-629, University of
Minho-Guimarães, 4-6 October 2000. (with
11.Números: dos Inteiros aos Octoniões, Millenium, Ano 5, N. 19, June 2000, 253-261.
12.The Quaternions in the Teaching of an Astronomy Course Survey
Engineers: a First Approach, Proceedings of the 2nd Conference of Cathography and Geodesy ,Lisbon(2000),49-60 ( with J.C.
Aleixo,J. Fernandes,C. Macedo,P. Saraiva A.J.Soares,R. Serôdio)
13.Block Singular Values: Which applications?, Proceedings of the ”Jornadas de Aplicações da Matemática”, p. 203-206, Instituto Superior de Engenharia de Lisboa, Portugal, 15-16,October 1998 ( with T. Pedroso de Lima,Cecília Costa and Manuela S.Silva)
14.On
Block Singular Values of Block Companion Matrices, Proceedings of the 3rd
Portuguese Conference on Automatic Control (Controlo
98), 9-11 September 1998, Coimbra, Portugal (with Cecília
Costa,T. Pedroso de Lima).
15.Álgebra Linear, Universidade Aberta, 1998 (with Teresa Pedroso de Lima).
16.Nótula sobre zeros de polinómios Bol. Soc. Port. Mat., 37, 21-34 (1997) (with Cecília Costa).
17.Deflation
for block eigenvalues of block partitioned matrices
with applications to block singular values, Proceedings of the Proceedings
of the 2nd Portuguese Conference on Automatic Control, Vol.II,
435-439, 11–13 September, Porto (1996). (with
18.Polinómios
Matriciais, Proceedings of the Proceedings of the
1st Portuguese Conference on Automatic Control (Controlo
94) Vol.II, pp.41-46, 14-16 September 1994, IST, Lisboa, Portugal. (with Teresa Pedroso de Lima and Edgar Pereira).
19.Report of the Meeting of Matrix Analysis and Applications.
Abstracts from the meeting held at the Universidad Politécnica
de Valencia, Valencia, October 3–5, 1989, Linear Algebra Appl.
170 (1992), 147–280 ,(with Rafael Brú and Graciano de Oliveira).
20.Report of the International Conference on Linear Algebra
and Applications, Universidad Politecnica de
Valencia/Spain, 28-30 September 1987, Linear Algebra Appl.,
121, 537-710 (1989). (with Rafael Brú).
21.Singular
and Singularizable higher-order Differential Matrix
Equations, Linear Algebra Appl., 121, 686-691
(1989).
22.On the study of Differential and Difference Equations using
Lambda-Matrices, Linear Algebra and its Applications, vol.121,
pp.639-643, August 1989 (with Teresa Pedroso de Lima
and J. Clímaco).
23.On Difference Equations Having Matrix Coefficients, documento nº58, CEMAPRE, I.S. Economia, Universidade Técnica de Lisboa, 23-24 November 1988.(with Teresa Pedroso de Lima)
24.Some questions of numerical algebra related to differential
equations. Numerical methods, Colloq. Math.
Soc. János Bolyai, 50,
127-140, North-Holland,
25.Vectorial Norms of Vector and Minima of Pareto, documento de trabalho 59 do CEMAPRE I.S. Economia/U.T.L., Lisboa, 1988 (with A. Gonçalves).
26.Hypercomplex numbers and rotations, Proceedings of the
XII Portuguese-Spanish Conference on Mathematics, Vol. II (Portuguese) (
27.Teacher education at
28.Pedagogia na universidade, Boletim da Sociedade Portuguesa de Matemática, 9, pp. 11-12 (1986). (with J. Silva).
29.Bounds for the spectral radius of the inverse of a
partitioned matrix Proceedings of the Meeting on Linear algebra and
applications, (Vitoria-Gasteiz, 1983), 425–431,
Univ. País Vasco-Euskal Herriko
Unib.,
30.Block eigenvalues of block
compound matrices, Linear Algebra Appl., 47
(1982), 23–34.[M.R. 84d:15010]
31.A block-Cayley-Hamilton theorem, Bull.
Math. Soc. Sci. Math. R. S. Roumanie, 26(74) (1982), nº 1, 93–97.[M.R.
83 h:15
32.A note on quasi-tridiagonal block matrices, Revista Universidade de Coimbra, 29, pp. 179-184 (1981) [1982].
33.A
survey on vectorial norms of matrices and some open
questions, Revista Universidade
de Coimbra, 29, pp. 185-193 (1981) [1982].
34.Upper bounds for the latent roots of lambda-matrices, Proc.
Anal. Numér. Théor. Approx., 9 (1980), nº 2, 289–292 (1981).[M.R. 83 c:15017]
35.Matricial norms: some applications and open questions, Proceedings
of the seventh Spanish-Portuguese conference on mathematics, Part III (Sant Feliu de Guíxois,
1980), Publ. Sec. Mat. Univ. Autònoma
Barcelona nº 22 (1980), 317–321.[M.R. 86 g:00012c]
36.On block-quasitridiagonal
matrices, Proceedings of the seventh Spanish-Portuguese conference on
mathematics, Part I (Sant Feliu
de Guíxois, 1980), Publ.
Sec. Mat. Univ.Autonoma Barcelona nº 20 (1980),
227–230.[M.R. 86 g:00012c]
37.Latent roots of lambda-matrices, Kronecker
sums and matricial norms, Apl.
Mat. 25 (1980), nº 6, 395–399.[M.R. 82 a:15019]
38.Matricial norms and the difference between the zeros of
determinants with polynomial elements, Linear Algebra Appl.,
28 (1979), 279–283.[M.R. 80 k:15014]
39.Generalization of inequalities by Carmichael and Mason and
by Parodi, Computing, 22 (1979), nº 4,
363–365.[M.R. 82 g:15013]
40.Sistemas vibratórios, matrizes-lambda e normas
vectoriais, Actas do Primeiro Encontro de Física Matemática,
Universidade de Coimbra, 1979, pp. 53-70 (1984). (with J. Clímaco).
41.Matricial norms and the roots of polynomials, Rev. Ci. Mat. Univ. Lourenço Marques, 5 (1974/75), 51–56.[M.R. 56# 15672 ]
42.Matricial norms and lambda-matrices, Rev. Ci. Mat. Univ. Lourenço Marques, 5 (1974/75), 11–30.[M.R.56 #15671] 43.Inversion of a matrix partitioned in commuting blocks, Rev. Ci. Mat. Univ. Lourenço Marques, Sér. A 4 (1973), 29–37.[M.R. 52#3187]
44.Matrices partitionnées en blocs commutatifs, Gaz. Mat. (Lisboa), 31 (1970), no. 117-120, 49–57.[M.R. 49# 328]
45.On certain systems of matricial linear equations, II. Rev. Ci. Mat. Univ. Lourenço Marques, Sr. A 1 (1969), 9–14.[M.R.47# 1818 ]
46.On certain systems of matricial linear equations, Rev. Estud. Gerais Univ. Moçambique, Sér. I 4 (1967) 25–35.[M.R. 42# 7674]
Scientific
Coordination of the following projects:
Projecto MATH/JNICT A Matemática em Teoria dos Sistemas e Controlo, 1988-1991.
Acção Integrada Luso-Espanhola, Coimbra/Valência, 1985-1986.
Participation
in the following projects:
Control
and systems engineering, under the EC EUROFORM Program,
Coimbra/Salford, 1993-1994.
Acção Integrada Luso-Espanhola, Coimbra/Vitoria-Gasteiz, 1982-1983.
Research visits
and stays at several foreign universities, including:
Grenoble
(France), Salford and Reading (England), Valência,
Madrid, Vitoria-Gasteiz, Bilbao and Barcelona(Spain),
Bergen (Norway), Prague (Check Republic), Budapest (Hungary), Manaus, Juiz de
Fora, Bahia and Rio de Janeiro (Brasil),
Pyongyang (North-Korea).
Meeting
Organization:
Computational
Methods and Function Theory – CMFT 2001 – Aveiro,25-29 June, 2001 (Organizing Committee).
3rd
Portuguese Meeting on Control ”CONTROLO 98”,
2nd
Portuguese Meeting on Control ”CONTROLO 96”,
Meeting
on Matrix Analysis and Applications,
1st
Portuguese Meeting on Control ”CONTROLO 94”,
Workshop
on Multilinear Algebra,
Meeting
on Matrix Analysis and Applications,
International
Conference on Linear Algebra and Applications,
VII
GMEL Meeting—Groupement des Mathematiciens
d’Expression Latine,
International
Meeting on Linear Algebra and Applications,
VIII
Portuguese-Spanish Meeting on Mathematics,
M. Sc. thesis
supervised:
Cristina Andrade, Scalar and Matricial
Polynomials with low Degree (Portuguese), Univ.Coimbra
(2004)
Pedro Tadeu,
Moore-Penrose Inverse,Circulant
Matrices and Applications to Geometry (Portuguese), Univ.
Ricardo
Bichinho ,Algorithms of Sebastião e Silva:Extension to Complex and
Quaternionic Polynomials(Portuguese) , Univ.
Fernando Martins, Multiplicative and Additive Block
Compound Matrices
with Circulant Blocks(Portuguese), Univ.
J.
C. Aleixo, Linear Quaternionic
Systems, Univ.
Helena
France, Computing the GCD of Two Polynomials Using Their Associated Matrices,
Univ.
Rogério
Serôdio, Polynomials and Matrices of Quaternions, Univ.
Isabel
Mendes, Teaching Geometry in High School, Univ.
Adelaide
Patacão, Algebraic and Geometric Questions in
Polynomial matrices and Partitioned Matrices, Univ. Coimbra (1997).
Alcina
Faria, Mathematics: its Vitality and Progress,
Univ.
Edgar
Pereira, Computing Block Eigenvalues of Block
Matrices, Univ.
Cecília
Costa, Teaching Geometry in Elementary School, Univ.
Anabela
Borges, On The Resolution of Linear Invariant Systems In Descriptor Form,Univ.
Helena Seabra, Cones and Matricial Norms, Univ. Coimbra (1985).
Margarida Saraiva, Kronecker Poduct and the Adjoint Operator AdA=AX-XA, Univ. Coimbra (1985).
Teresa P.Lima, Linear Difference Equations Having
Matrix Coeffcients, Univ.
Armando
Gonçalves, Compacity
and Convexity of the Set of Best Approximation using Vectorial
Norms, Univ. Coimbra (1985).
M.Madalena
Martins, Convergence of Iterative Methods for Solving Systems, Univ.
Ph. D. thesis supervised:
Pedro Tadeu,Geometry in Normed Spaces,Univ.Tras-os-Montes
e Alto Douro,in progress, [co-Adviser Cecilia Costa ]
Celino Miguel ,Foundations of a Block Linear Algebra
(Portuguese),
Univ. Beira Interior (2007).[Co-Adviser; Adviser:Edgar Pereira]
Fernando Martins,Block Matrices and
Differential Matrix Equations,Univ. Beira Interior,2007 [co-Adviser
Edgar Pereira]
Rogério
Serôdio, On Polynomials and Matrices over the Hypercomplexes,Univ.
Edgar
Pereira, On Solvents of Polynomial Matrices, Univ.
Cecília
Costa, José Vicente Gonçalves:[He
was a] Mathematician ... because [he was a] Professor! (Intertwinning Mathematics, its History and Teaching), Univ. Trás-os-Montes e
Alto
Professional Memberships
SPM, APCA.