About me

Professor of Applied Mathematics of the Valencia University of Technology (Univ. Politécnica de Valencia) and Adjunct Professor of Curtin Univ. of Technology. Former Director of Agricultural Engineering School of Valencia (1998---2004) (Escuela Técnica Superior de Ingenieros Agrónomos).  Visiting Associate Professor, University of Connecticut 1991. Long--time member of ILAS in which has served as   member of the Board of Directors (2003--2006)  and of the Institutional Membership Committee (2008--2010) of ILAS . Memberships include ILAS, SIAM and the Spanish Society of Applied Mathematics (SeMA) serving as member of the Board of Directors from 1997--1999 and 2005--. Chairman of the thematic network "Algebra Lineal Analisis Matricial y Aplicaciones from 2008-2010. President of the Spanish Society of Applied Mathematic, (SEMA).  Research interest in nonnegative matrices, numerical linear algebra and control theory.

Member of the Organizing Committee of ILAS Conferences  in  Barcelona (1999) and Cancun (2008). Member of Organizing Committee of some Conferences on Linear Algebra and and Summer-Schools on Parallel Numerical Algorithms in Spain. Active member of the "Instituto de Matematica Multidisciplinar" (IMM) of Valencia and member of the "Dept. Matematica Aplicada" (DMA). Chairman of the third Multidisciplinary International Symposium on Positive Systems: Theory and Applications (POSTA 2009).  Chairman of the conference: "ALAMA-2010 and member of the editorial board of The Seventh International Conference on Engineering Computational Technology (ECT 2010).

Curriculum  click for  pdf


Transparencies

Classificació pàgines web: Google. pdf.file


Recent papers

Luca Bergamaschi, Rafael Bru, Angeles Martínez and Mario Putti, "Quasi-Newton acceleration of ILU preconditioners for nonlinear two-phase equations in porous media", Advances in Engineering Software. On line publication: 4 December, 2010. Doi:10.1016/j.advengsoft.2010.10.011 pdf file
Rafael Bru, Rafael Cantó, Ricardo Soto, Ana M. Urbano, ``A Brauer’s theorem and related results'', Central European J. Mathematics, 10(1): 312-321, 2012. DOI: 10.2478/s11533-011-0113-0 pdf file

Rafael Bru, Isabel Gimenez and Apostolos Hadjidimos, ``Is $A\in \mathbb{C}^{n,n}$ a general H-matrix?'', Linear Algebra Appl., 436(2): 364-380, 2012. On line publication: 12 April 2011. Doi:10.1016/j.laa.2011.03.009 pdf file
Luca Bergamaschi, Rafael Bru and Angeles Martínez, "Low-rank update of preconditioners for the inexact Newton method with SPD Jacobian", Mathematical and Computer Modelling, 54: 1863–1873, 2011.  On line publication: 5 December, 2010. Doi: 10.1016/j.mcm.2010.11.064 pdf file
Rafael Bru, Ljiljana Cvetkovi\'c, Vladimir Kosti\'c and Francisco Pedroche, "A simple generalization of Gersgorin's theorem'', Advances in Computational Mathematics, 35(2-4): 271-280, 2011. On line publication 15 October, 2009.  DOI: 10.1007/s10444-009-9143-6 pdf file
Rafael Bru, José Marín, José Mas and Miroslav Tuma, "Improved balanced incomplete factorizations'', SIAM J. on Matrix Analysis, 31:2431-2452, 2010. Online publication: 12 August 2010. DOI: 10.1137/090747804 pdf file
Rafael Bru, Ljiljana Cvetkovi\'c, Vladimir Kosti\'c and Francisco Pedroche, "Characterization of alpha 1 and alpha 2-matrices'', Central European Journal of Mathematics, 8(1):32-40, 2010 pdf file
Rafael Bru, Cristina Corral, Isabel Gimenez and José Mas, "Schur complement of general H-matrices'', Numerical Linear Algebra and Applications, 16: 935–947, 2009. DOI: 10.1002/nla.668 pdf file
W.A. Contreras, A. Lidón, D. Ginestar and R. Bru, "Compartmental model for nitrogen dynamics in citrus orchards", 
Mathematical and Computer Modelling, 50: 794-805, 2009. Online publication: 12-August-2009. DOI: 10.1016/j.mcm.2009.05.008 pdf file
Rafael Bru, Ljiljana Cvetkovi\'c, Vladimir Kosti\'c and Francisco Pedroche, "Sums of $\sum$-strictly diagonally dominant matrices'', Linear and Multilinear Algebra, 58(1):75 - 78, 2010. DOI: 10.1080/03081080802379725 First Published on: 02 January 2009   pdf file
Rafael Bru, Sergio Romero and Elena Sánchez, "Reachability indices of periodic positive  systems via positive shift-similarity'',  Linear Algebra and its Applications, 429: 2358-2366, 2008. doi: 10.1016/j.laa.2008.01.033 pdf file
W.A. Contreras, D. Ginestar, L.C. Paraíba and R. Bru, "Modelling the pesticide concentration in rice field by level IV fugacity model coupled with a dispersion-advection equation", Computers & Mathematics with Applications, 56: 657–669, 2008. DOI: 10.1016/j.camwa.2008.01.009  pdf file
Rafael Bru, José Marín, José Mas and Miroslav Tuma, "Balanced incomplete factorizations'', SIAM J. on Scientific Computing, 30(5): 2302–2318, 2008. DOI: 10.1137/070696088.  pdf file
Rafael Bru, Cristina Corral, Isabel Gimenez and José Mas, "Classes of general H-matrices", Linear Algebra and its Applications, 429: 2358-2366, 2008. DOI: 10.1016/ j.laa.2007.10.030 pdf file
R. Bru, R. Canto, B. Ricarte and V. Rumchev, "A basic canonical form of discrete-time compartmental systems", Int. Journal of Contemp. Math. Sciences, Vol. 2 (5-8): 5-8, 261-273, 2007. pdf file
Estebán Bahilo, Rafael Bru,  Josep Gelonch and Sergio Romero,  "On the  Reachability index of positive 2-D systems'',   IEEE  Transactions on Circuits and Systems II,  Vol. 5 (10): 1--7, 2006. pdf file
Rafael Bru, Francisco Pedroche and Daniel B. Szyld, "Sub-direct sums of S--strictly diagonally dominant matrices", Electronic Journal of Linear Algebra,  15: 201--209, 2006. pdf file
Luca Bergamaschi, Rafael Bru, Angeles Martínez and Mario Putti, "Quasi-Newton preconditioners for the inexact Newton method", 23: 76--87, ETNA, 2006. pdf file
Lucinio Júdez, Carolina Chaya,  José María de Miguel and Rafael Bru, "Stratification snd sample size of data sources for the agricultural mathematical programming models",  Mathematical and Computer Modelling, 43: 530-535, 2006. pdf file
Rafael Bru, Francisco Pedroche and Daniel B. Szyld, "Sub-direct sums of nonsingular M-matrices and of their inverses", Electronic Journal of Linear Algebra,  13: 162--174, 2005. pdf file
Rafael Bru, Francisco Pedroche and Daniel B. Szyld, "Additive Schwarz iterations for Markov chains", SIAM J. on Matrix Analysis. Vol. 27 (2):. 445–458, 2005. pdf file
Rafael Bru, L. Caccetta and V. G. Rumchev, "Monomial subgraphs of reachable and controllable positive discrete--systems", International Journal of Applied Mathematics and Computer  Science, 15 (1): 159--166, 2005. pdf file 
Rafael Bru,  Francisco Pedroche and Daniel B. Szyld, "Overlapping Additive and Multiplicative Schwarz Iterations for H-matrices", Linear Algebra and its Applications, 393C: 91--105, 2004.  pdf file
Rafael Bru, Sergio Romero and Elena Sánchez,  "Structural properties of positive periodic discrete--time linear systems: canonical forms", Applied Mathematics and Computation, 153: 697--719, 2004. pdf file
Rafael Bru, Carmen Coll, Sergio Romero and Elena Sánchez, "Reachability indices of positive linear systems", Electronic Linear Algebra, 11: 88--102, 2004. pdf file 

Rafael Bru, Carmen Coll and Nestor Thome, "Gramian matrices and balanced model of generalized systems", Applied Mathematics  and Computation, 148(2): 341–350, 2004. pdf file

Rafael Bru, Rafael Cantó and Beatriz Ricarte, "Modelling nitrogen dynamics in citrus trees", Mathematical and  Computer Modelling, 38/10 pp. 975-987, 2003. pdf file    
R. Bru, "Métodos iterativos para resolver sistemas lineales",  Bol. Soc. Esp. Mat. Apl., 24: 9--30, 2003.  postcript file
R. Bru, J. Cerdán, J. Marín and J. Mas, "Preconditioning sparse nonsymmetric linear systems with the Sherman-Morrison formula",   SIAM J. on Scientific Computing, 25(2): 701--715, 2003.  pdf file
R. Bru, D. Ginestar, T. Manteuffel, J. Marín, J. Mas, and G. Verdú. "Iterative schemes for the neutron diffusion equation", Computers and Mathematics with Applications", Vol. 44, pp. 1307-1323, 2002. pdf file
Rafael Bru, Carmen Coll and Elena Sánchez, "Structural properties of positive linear time-invariant difference-algebraic equations", Linear Algebra and its Applications, 349: 1--10, 2002.  pdf file
Rafael Bru, Sergio Romero and Elena Sánchez, "Canonical forms of reachability and controllability of positive discrete-time control systems'',  Linear Algebra and its Applications, 310: 49--310, 2000. pdf file


Editorial work

Editor of Proyecciones, 2011--.
Editor of Advances in Computational Mathematics, 2011--.
Editor of Advances in Computational Mathematics, special volume, 2009.
Editor of Advances Engineering Software,  2009--2012.
Editor of Advances Engineering Software, Vol.
, 2009.
Editor of Proceedings of the third Multidisciplinary International Symposium on Positive Systems: Theory and Applications (POSTA 09) Valencia, Spain, September 2-4, 2009. Lecture Notes in Control and Information Sciences, Vol. 389, 2009.
Editor of proceedings of The Linear Algebra Conference held in Valencia and  published in the journal Linear Algebra and Applications, Vol. 170, 1992.
Editor of proceedings of International Linear Algebra Conference held in Valencia and  published in the journal Linear Algebra and Applications, Vol. 121, 1989.


Upcoming conferences I will attend

Year 2012

SIAM Conf. on Applied Linear Algebra, June 18-22, 2012, Valencia, Spain.

Year 2011


Year 2010

The Seventh International Conference on Engineering Computational Technology, 14-17 September, 2010, Valencia, Spain
ALAMA Conference, June 2-3, 2010, Valencia, Spain.
Eleventh Copper Mountain Conference on Iterative Methods, 4-9 April, 2010, Copper, Colorado, USA.
ALA 2008 Conference, in honor of Hans Schneider , May 24-28, 2010, Novi Sad, Serbia.

Year 2009

SIAM Conf. on Applied Linear Algebra, 26-29, October, 2009, Monterey, California.
CEDYA 2009, 21-25 September, Ciudad Real, Spain.
POSTA09, 2-4 September, Valencia, Spain.

Year 2008

The Second International Conference on Numerical Algebra and Scientific Computing (NASC08),  2-5 November, 2008, Nanjing, China.
ALAMA Conference , 24-25 September, 2008, Vitoria, Spain.
The Sixfth International Conference on Engineering Computational Technology, 2-5 September, 2008, Athens, Greece.
Fifteenth ILAS Conference , 16-20 June, 2007, Cancún, México.
ALA 2008 Conference, in honor to Ivo Marek , 28-30 April, 2008, Novi Sad, Serbia.
Tenth Copper Mountain Conference on Iterative Methods, 6-11 April, 2008, Copper, Colorado, USA.

Year 2007

XX CEDYA Conference , 24-28 September, 2007, Sevilla, Spain.
Computational Methods with Applications , 19-25 August, 2007, Harrachov, Czech Republic.
14-TH ILAS Conference , 16-20 July, 2007, Shanghai, P.R. China.
Mat-Triad 2007, 22-24 March , 2007, Bedlewo, Poland.

Year 2006

Vigésimo quinto aniversario del grupo de Álgebra lineal de la UPV-EHU (1981-2006), 21 and 22 September, 2006, Vitoria, Spain.
The Fifth International Conference on Engineering Computational Technology, 12-15 September, 2006, Las Palmas de Gran Canaria, Spain.
Second conference on Positive Systems: Theory and Applications (POSTA) , 31 August- 1 September, 2006, Grenoble, France.
13-TH ILAS Conference , 18-21 July, 2006, Amsterdam, Netherlands.
Nifth Copper Mountain Conference on Iterative Methods, 2-7 April, 2006, Copper, Colorado, USA.
 

Year 2005

Dept. di Metodi e Modelli Matematici per le Scienze Applicate, Univ. of Padova , 20-November-14 of December, 2005, Padova, Italy.
ALA 2005 Conference, in honor to Richard Varga , 13-15 October, 2005, Palic, Yugoslavia.
CEDYA 2005 Conference , 19-23 September, 2005, Leganés, Spain.
12th International Linear Algebra Society (ILAS) Conference, 26-29 June, 2005, Regina, Canada.
2005 International Conference on Preconditioning Techniques for Large Sparse Matrix Problems in Scientific and Industrial Applications, 19-21 May, 2005, Emory University, Atlanta, Georgia.
Algoritmy 2005, 13-18 March, 2005, Podbanske, Eslovaquia.
Mat-Triad 2005, 2-5 March, 2005, Bedlewo, Poland.
 



Web pages


of some of my colleagues  in Valencia
Rafael Cantó
Damián Ginestar
José Marín
José Mas
Francisco Pedroche

other links
Pedal Cycling Group
The mathematics genealogy project;

in other countries and universities 
Michele Benzi at Emory university
Luca Bergamaschi at University of Padova
Joan Josep Climent  at Universitat d'Alacant
Ljiljana Cvetkovic  at University of Novi Sad
Violeta Migallón  at Universitat d'Alacant
Ludwig Elsner at University of Bielefeld
Ángeles Martínez at University of Padova
Michael Neumann at University of Connecticut
José Penadés at Universitat d'Alacant
Ventsi Rumchev at Curtin University of Technology
Mirek Tůma at Academy of Sciences of Czech Republic
Daniel B. Szyld at Temple University in Philadelphia.