Homepage of Julio Benítez López.

Publications.

Ph. Dr. Dissertation:

        Diferenciabilidad en espacios de Banach. (Spanish)
        (2000) Universidad Politécnica de Valencia. (Vicente Montesinos, Advisor)
        Abstract: The topological study of differents kinds of differentiability of convex functions defined in Banach spaces.
      Click here to obtain it.

1999

On restricted weak upper semicontinuous set valued mappings and reflexivity. Julio Benítez, Vicente Montesinos: Boll. Un. Mat. Italiana. (8), 2-B (1999), 577-583.

2001

A characterization of restricted w-upper semicontinous differentials of convex functions. Julio Benítez, Vicente Montesinos: Bull. Austral. Math. Soc. 63 (2001), 93-100.

2005

Idempotency of linear combinations of an idempotent matrix and a t-potent matrix that commute. Julio Benítez, Néstor Thome: Linear Algebra and its Applications, Volume 403, (2005), 414-418.
Characterizations and linear combinations of k-generalized projectors. Julio Benítez, Néstor Thome: Linear Algebra and its Applications, Volume 410, (2005), 150-159.

2006

{k}-group periodic matrices. Julio Benítez, Néstor Thome: SIAM Journal on Matrix Analysis and Applications, Volume 28, Issue 1, (2006), 9--25
Matrices whose powers approximate the identity. Julio Benítez: Applied Mathematics Letters, Volume 19, Issue 11, (2006), 1249-1254.
The generalized Schur complement in group inverses and (k+1)-potent matrices. Julio Benítez, Néstor Thome: Linear and Multilinear Algebra, Volume 54, Number 6, (2006), 405-413. (This is a preprint of an article whose final has been published in Linear and Multilinear algebra)

2007

Idempotency of linear combinations of three idempotent matrices, two of which are commuting. Oskar Maria Baksalary, Julio Benítez: Linear Algebra and its Applications , Volume 424, Issue 1, 1 (2007), 320-337.
A unified proof of Ceva and Menelaus' theorems using projective geometry. Julio Benítez: Journal for Geometry and Graphics, Volume 11, Number 1 (2007) 39-44.

2008

Idempotency of linear combinations of an idempotent matrix and a t-potent matrix that do not commute. Julio Benítez, Néstor Thome: Linear and Multilinear Algebra. Volume 56, Issue 6, (2008), 679-687. (0)
Moore--Penrose inverses and commuting elements of $C^*$-algebras. Julio Benítez: Journal of Mathematical Analysis and Applications. Volume 345, Issue 2, (2008), 766-770.
Applications of CS decomposition in linear combinations of two orthogonal projectors. Julio Benítez, Vladimir Rakocevic: Applied Mathematics and Computation. Volume 203, Issue 2, (2008), 761-769.
On Linear Combinations of Two Commuting Hypergeneralized Projectors. Julio Benítez, Oskar Maria Baksalary: Computers and Mathematics with Applications. Volume 56 (2008) 2481-2489.
Using the CS decomposition to study linear combinations of Moore-Penrose Hermitian matrices. Julio Benítez: Accepted for participation in 17th International Workshop in Matrices and Statistics, IWMS’08. Slides
On the spectrum of linear combinations of two projections in C* algebras. Julio Benítez, Vladimir Rakocevic: Accepted in Linear and Multilinear algebra. (This is a preprint of an article whose final form will be published in Linear and Multilinear algebra)

2010

On the spectrum of linear combinations of two projections in C* algebras. Julio Benítez, Vladimir Rakocevic: Linear and Multilinear algebra 58(06), 673 - 679. (This is a preprint of an article whose final form has been published in Linear and Multilinear algebra).
Some results on partial ordering and reverse order law of elements of C*-algebras. Xiaoji Liu, Julio Benítez, Jin Zhong . Journal of Mathematical Analysis and Applications. 370 (2010) 295–301.
A new decomposition for square matrices. Julio Benítez. Electronic Journal of Linear Algebra. 20 (2010) 207-225.
Some results on matrix partial orderings and reverse order law. Xiaoji Liu, Julio Benítez, Jin Zhong. Electronic Journal of Linear Algebra. 20 (2010) 254-273.
Invertibility of the commutator of an element C*-algebra and its Moore-Penrose inverse. Julio Benítez, Vladimir Rakocevic: Studia Mathematica. 200 (2) (2010) 163-174.
Nonsingularity and group invertibility of linear combinations of two k-potent matrices. Julio Benítez, Xiaoji Liu, Tongping Zhu: Linear and Multilinear algebra. 58 (8) (2010) 1023-1035.(This is a preprint of an article whose final has been published in Linear and Multilinear algebra).
Matrices A such that AA⁺ - A⁺ A are nonsingular. Julio Benítez, Vladimir Rakocevic: Applied Mathematics and Computation. 217 (7) (2010) 3493-3503.

2011

A projective invariant generalization of the de Casteljau algorithm. Julio Benítez: Computer-Aided Design. 43 (2011) 3-11.
Additive results for the group inverse in an algebra with applications to block operators. Julio Benítez, Xiaoji Liu, Tongping Zhu: Linear and Multilinear algebra. 59 (3) (2011) 279-289
Achieving matrix consistency in AHP through linearization J. Benítez, X. Delgado-Galván, J. Izquierdo, R. Pérez-García.
Applied Mathematical Modelling. 35 (9) (2011) 4449-4457
The spectrum of matrices depending on two idempotents. Xiaoji Liu, Julio Benítez: Applied Mathematics Letters. 24 (10) (2011) 1640-1646
On the group inverse of linear combinations of two group invertible matrices. Xiaoji Liu, Lingling Wu, Julio Benítez. Electronic Journal of Linear Algebra. 22 (2011) 490-503.
On linear combinations of generalized involutive matrices. Xiaoji Liu; Lingling Wu; Julio Benítez. Linear and Multilinear algebra. 59 (11) (2011) 1221-1236. (This is a preprint of an article whose final has been published in Linear and Multilinear algebra).
Balancing consistency and expert judgment in AHP. J. Benítez, X. Delgado-Galván, J.A. Gutiérrez, J. Izquierdo. Mathematical and Computer Modelling. 54 7-8: 1785-1790 (2011)
On nonsingularity of combinations of two group invertible matrices and two tripotent matrices. Xiaoji Liu; Shuxia Wu; Julio Benítez. Linear and Multilinear algebra. 59 (12) (2011) 1409-1417.

2012

Invertibility in rings of the commutator ab-ba, where aba=a and bab=b. Julio Benítez, X. Liu, V. Rakocevic. Linear and Multilinear algebra. 60 (4) (2012) 449-463.
Canonical angles and limits of sequences of EP and co-EP matrices. Julio Benítez, V. Rakocevic. Applied Mathematics and Computation. 218 (2012) 8503-8512.
An approach to AHP decision in a dynamic context. J. Benítez, X. Delgado-Galván, J. Izquierdo, R. Pérez-García, Decision Support Systems. 53 (2012) 499-506.
On the continuity of the group inverse. J. Benítez, X. Liu, Operators and Matrices. 6 (2012) 859-868.
Improving consistency in AHP decision-making processes. Benítez, J.; Delgado-Galván, X.; Izquierdo, J.; Pérez-García, R. Appl. Math. Comput. 219 (2012), no. 5, 2432–2441.

2013

A short proof of a matrix decomposition with applications. J. Benítez, X. Liu, Linear Algebra and its applications. 438 (2013) 1398-1414.
On nonsingularity of combinations of three group invertible matrices and three tripotent matrices. Benítez, Julio; Sarduvan, Murat; Ülker, Sedat; Özdemir, Halim Linear Multilinear Algebra 61 (2013), no. 4, 463–481.
Representations for the generalized Drazin inverse in a Banach Algebra. J. Benítez, X. Liu, Y. Qin. Bulletin of Mathematical Analysis and Applications.
URL: http://www.bmathaa.org. Volume 5 Issue 1 (2013), Pages 53-64.
Some learning objects to explain Kepler's laws. Julio Benítez, Marcos H. Giménez, José L. Hueso, Eulalia Martínez, Jaime Riera. Computer Applications in Engineering Education. Volume 21, Issue 1, 1-7 (2013)
On the elements aa+ and a+a in a ring. J. Benítez; D. Cvetkovic-Ilic. Applied Mathematics and Computation 222 (2013) 478–489.
Slides of Characterization of consistent completion of reciprocal comparison matrices. J. Benítez, L. Carrión, J. Izquierdo, R. Pérez-García. Mathematical Modelling in Engineering & Human Behaviour 2013 (Valencia)

2014

Characterization of Consistent Completion of Reciprocal Comparison Matrices. J. Benítez; L. Carrión; J. Izquierdo; R. Pérez-García. Abstract and Applied Analysis. 2014.
On the continuity of the group inverse in C*-algebras. J. Benítez; D. Cvetkovic-Ilic; X. Liu; 8 (2014) 204-213.
Joint stakeholder decision-making on the management of the Silao-Romita aquifer using AHP. X. Delgado-Galván, J. Izquierdo, J. Benítez, R. Pérez-García.
Environmental Modelling & Software. Volume 51, January 2014, Pages 310–322
Further results on the reverse order law for the group inverse in rings. X. Liu, M. Zhang, and J. Benítez, Applied Mathematics and Computation. 2014, 316-326.
Transparencias de Consistent completion of incomplete judgments in decision making using AHP. J. Benítez, X. Delgado-Galván, J. Izquierdo, R. Pérez-García.
Instituto de Matemática Multidisciplinar — FluIng. Mathematical Modelling in Engineering & Human Behaviour 2014.
Simultaneous decomposition of two EP matrices with applications. Electronic Journal Linear Algebra. Volumen 27. Julio Benitez and Xiaoji Liu, , pp. 407-425.
A simple formula to find the closest consistent matrix to a reciprocal matrix. J. Benítez, J. Izquierdo, R. Pérez-García, E. Ramos-Martínez.Applied Mathematical Modelling. Volume 38, Issues 15–16, 1 August 2014, Pages 3968–3974.

2015

Co-EP Banach algebra elements. Julio Benítez, E. Boasso, V. Rakocevic. Banach J. Math. Anal. 9 (2015), no. 1, 27-41

Teaching papers:

Una aplicación geométrica del método de mínimos cuadrados. Julio Benítez. Boletín de la sociedad Puig Adam de profesores de Matemáticas. 44 (1996), 45 - 54. (In Spanish)
Sobre el wronskiano e independencia lineal. Un ejemplo de abstracción en álgebra lineal. Julio Benítez. Boletín de la sociedad Puig Adam de profesores de Matemáticas. 59 (2001), 68 - 73. (In Spanish)
Applications of differential geometry to cartography. Julio Benítez, Néstor Thome. International Journal of Mathematical Education in Science and Technology, Volume 35, Issue 1 (2004), 29 - 38. (This is a preprint of an article whose final form has been published in International Journal of Mathematical Education in Science and Technology)
Why can we not make a perfect map? Julio Benítez: International Journal of Mathematical Education in Science and Technology, Volume 36, Issue 8 (2005), 944 - 946. (This is a preprint of an article whose final form has been published in International Journal of Mathematical Education in Science and Technology)

Back to Homepage

Homepage of Julio Benítez López.

Publications.

Back to Homepage