Papers published in Journals:

Caraça-Valente, J.P., Morant, J.L., González, L., Pazos, J., “Knowledge-based Systems' Validation: When to Stop Running Test Cases”. International Journal of Human-Computer Studies, 51, pp. 757-781 (1999).
Pacheco, J.M., González, L., “Sobre los números primos”. Epsilon, 16, pp. 291-305 (2000).
Montero, G., González, L., Flórez, E., García, M.D., Suárez, A., “Approximate inverse computation using Frobenius inner product”. Numerical Linear Algebra with Applications, 9, pp. 239-247 (2002).
Falcón, S., González, L., “Los Problemas de un Daltónico”. Boletín de la Sociedad Puig Adam de Profesores de Matemáticas, 62, pp. 28-33 (2002).
Flórez, E., García, M.D., González, L., Montero, G., “Does the ordering affect to sparse approximate inverse preconditioners?”. Journal of Advancement of Modelling and Simulation Techniques in Enterprises, Special Issue The Best of MS’2000, pp. 43-52 (2002).
Flórez, E., García, M.D., González, L., Montero, G., “The effect of orderings on sparse approximate inverse preconditioners for nonsymmetric problems”. Advances in Engineering Software, 33, 7-10, pp. 611-619 (2002).
González, L., “A new method for ordering binary states probabilities in Reliability and Risk Analysis”. Lecture Notes in Computer Science, 2329, pp. 137-146 (2002).
González, L., “N-Tuples of 0s and 1s: Neccessary and sufficient conditions for intrinsic order”. Lecture Notes in Computer Science, 2667, pp. 937-946 (2003).
González, L., López, J.M., “Cúbica y Cuártica: Métodos de Tartaglia y Ferrari, Teoremas de Sturm y Hua”. Boletín de la Sociedad Puig Adam de Profesores de Matemáticas, 66, pp. 51-62 (2004).
González, L., García, D., Galván, B., “An Intrinsic Order Criterion to Evaluate Large, Complex Fault Trees”. IEEE Transactions on Reliability, 53 (3), pp. 297-305 (2004).
García, M. D., Flórez, E., Suárez, A., González, L., Montero, G., “New implementation of QMR-type algorithms”. Computers & Structures, 83, pp. 2414-2422 (2005).

González, L., “Una fórmula sencilla para demostrar o generar identidades combinatorias”. Boletín de la Sociedad Puig Adam de Profesores de Matemáticas, 72, pp. 54-63 (2006).
Fernández-Martínez,P., González, L., Romero, R., “The Gustavsson-Peetre method for several Banach spaces”. Mathematische Nachrichten, 279 (7) pp. 743-755 (2006).

González, L., “Orthogonal projections of the identity: Spectral analysis and applications to approximate inverse preconditioning”. SIAM Review, 48 (1) pp. 66-75 (2006).

González, L., “A new algorithm for complex stochastic Boolean systems”. Lecture Notes in Computer Science, 3980, pp. 633-643 (2006).

González, L., “A picture for complex stochastic Boolean systems: The intrinsic order graph”. Lecture Notes in Computer Science, 3993, pp. 305-312 (2006).

González, L., “Algorithm comparing binary string probabilities in complex stochastic Boolean systems using intrinsic order graph”. Advances in Complex Systems, 10 (Suppl. No. 1), pp. 111-143 (2007).

Submitted papers, preprints and current articles in elaboration:

González, L., "Cardinality of the sets of Top, bottom and jumping binary n-tuples".
González, L., "Top, bottom and jumping binary n-tuples of order k".

González, L., "Orthogonal complements with respect to the Frobenius inner product".
González, L., "Generalized Moore-Penrose inverse related to a matrix subspace".
González, L., "Simple derivation of some combinatorial identities".
González, L., Santana, A. "Recurrence relations for the binomial moments from a recursive combinatorial formula" .

González, L., "A simple proof of a combinatorial identity involving polynomials".

Book Chapters:

Flórez, E., García, M.D., González, L., Montero, G., “Effect of orderings on the performance of sparse approximate inverse preconditioners”. Finite Elements: Techniques and Developments, Ed. Civil-Comp Press, pp. 25-34 (2000).

Conference Proceedings:

González, L., Galván, B., García, D., Sobre el Análisis Computacional de Funciones Booleanas Estocásticas de muchas variables. Primer Encuentro de Álgebra Computacional y Aplicaciones (EACA - 95); 45-55. Santander, 1995.
Galván, B., García, D., González, L., Un Método Determinista para la Evaluación de Funciones Booleanas Estocásticas: Análisis Comparativo. XIV CEDYA - IV CMA; 257-258. Vic (Barcelona), 1995.
González, L., Montero, G., Flórez, E., Approximate Inverse Preconditioners Using Frobenius Inner Product. Part I: Theoretical Results. I.L.A.S.´99; 129. Barcelona, 1999.
Montero, G., González, L., Suárez, A., García, M.D., Approximate Inverse Preconditioners Using Frobenius Inner Product. Part II: Computational Aspects. I.L.A.S.´99; 133. Barcelona, 1999.
González, L., Montero, G., Flórez, E., Suárez, A., García, M.D., Aproximada inversa y producto escalar de Frobenius. XVI C.E.D.Y.A./VI C.M.A.; 1141-1148. Las Palmas de G.C., 1999.
Montero, G., González, L., García, M.D., Flórez, E., Suárez, A., Un Algoritmo simple para mejorar inversas aproximadas y resolver sistemas de ecuaciones. XVI C.E.D.Y.A./VI C.M.A; 1237-1243. Las Palmas de G.C., 1999.
González, L., Montero, G., Flórez, E., Suárez, A., Valores propios y valores singulares de la proyección ortogonal de Frobenius. C.O.M.A.T.'99. Matanzas (Cuba), 1999.
García, M.D., Montero, G., Suárez, A., Flórez, E., González, L., Aplicación de métodos basados en subespacios de Krylov para sistemas lineales sparse no simétricos. XVI C.E.D.Y.A./VI C.M.A.; 1123-1131. Las Palmas de G.C., 1999.
Flórez, E., García, M.D., González, L., Montero, G., Effect of ordering on the performance of sparse approximate inverse preconditioners. Fifth International Conference on Computational Structures Technology and Second International Conference on Engineering Computational Technology; 25-34. Leuven (Bélgica), 2000.
Flórez, E., García, M.D., González, L., Montero, G., Does the ordering affect to sparse approximate inverse preconditioners? The Best of 2000 Conferences. A.M.S.E. (2002); 43-52. Las Palmas de G.C., 2000.
González, L., Interpolación de Operadores en Espacios de Banach. I Seminario de Análisis Matemático U.L.L.-U.L.P.G.C. La Laguna (Tenerife), 2000.
González, L., Particiones en partes distintas en la Teoría Aditiva de Números. II Seminario de Análisis Matemático U.L.L.-U.L.P.G.C. Las Palmas de G.C., 2001.
González, L., S- inversa generalizada y valores singulares (Poster). RSME-2002. Tenerife, 2002.
González, L., A new method for ordering binary states probabilities in Reliability and Risk Analysis. ICCS-2002. Amsterdam, 2002
Montero, G., González, L., Flórez, A simple algorithm to improve approximate inverses and to solve linear equations systems. MS´2002 International Conference on Modelling and Simulation in Technical and Social Sciences; 875-883. Girona, 2002.
González, L., N-úplas Top, Bottom y Jumping. III Seminario de Análisis Matemático U.L.L.-U.L.P.G.C. La Laguna (Tenerife), 2002.
González, L., Espectro y proyección ortogonal de Frobenius. XVIII C.E.D.Y.A. / V III C.M.A; ACTAS: XVIII CEDYA - VIII CMA.,. Tarragona, 2003.
García, M.D., Flórez, E., Suárez, A., González, L., Montero, G., Modified versions of QMR-type methods. Ninth International Conference on Civil and Structural Engineering Computing., Paper 23, 61-62, Egmond-aan-Zee (Holanda), 2003.
Flórez, E., García, M. D., González L., Montero, G., Inversas aproximadas usando el producto escalar de Frobenius. VI Congresso de Métodos Computacionais em Engenharia, 272-272, Lisboa, 2004.

González, L., "The posets I(n) and M(n): Probabilities of binary strings and partitions into distinct parts" (Poster), The International Conference of Mathematicians (ICM 2006), Abstracts ICM 2006, Section 14: Combinatorics, 122-123, Madrid, 22-30 August, 2006.

González, L., "A mathematical model to evaluate the unavailability of a thecnical system", The Fifth International Conference on Enginnering Computational Technology and The Eighth International Conference on Computational Structures Technology (ECT 2006 & CST 2006), Abstracts ECT 2006, Paper 210, 493-494. Full paper 210 (14 pages) in CD-ROM ISBN 1-905088-10-8, Las Palmas de Gran Canaria, 12-15 September, 2006.

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