On the construction of symmetric nonnegative matrix with prescribed Ritz values
A. M.
Nazaria
Department of Mathematics, Arak University, P.O. Box 38156-8-8349, Iran
author
E.
Afshari
Department of Mathematics, Khomein Branch, Islamic Azad University, Khomein, Iran
author
text
article
2014
eng
In this paper for a given prescribed Ritz values that satisfy in the some special conditions, we find a symmetric nonnegative matrix, such that the given set be its Ritz values.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
2252-0201
03
v.
02
no.
2014
61
66
http://jlta.iauctb.ac.ir/article_510034_517ebe681c6b757bb36fe9cb83632347.pdf
Existence and uniqueness of solution of Schrodinger equation in extended Colombeau algebra
M.
Alimohammady
Department of Mathematics, University of Mazandaran, Babolsar, Iran
author
F.
Fattahi
Department of Mathematics, University of Mazandaran, Babolsar, Iran
author
text
article
2014
eng
In this paper, we establish the existence and uniqueness result of the linear Schrodinger equation with Marchaud fractional derivative in Colombeau generalized algebra. The purpose of introducing Marchaud fractional derivative is regularizing it in Colombeau sense.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
2252-0201
03
v.
02
no.
2014
67
78
http://jlta.iauctb.ac.ir/article_510035_c42bfbefe2796bde0219537ed06d07d8.pdf
Product of normal edge-transitive Cayley graphs
A.
Assari
Department of Basic Science, Jundi-Shapur University of Technology, Dezful, Iran
author
text
article
2014
eng
For two normal edge-transitive Cayley graphs on groups H and K which have no common direct factor and $\gcd(|H/H^\prime|,|Z(K)|)=1=\gcd(|K/K^\prime|,|Z(H)|)$, we consider four standard products of them and it is proved that only tensor product of factors can be normal edge-transitive.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
2252-0201
03
v.
02
no.
2014
79
85
http://jlta.iauctb.ac.ir/article_510036_f4bda704af5dbd54e675114b68316877.pdf
Compact composition operators on real Banach spaces of complex-valued bounded Lipschitz functions
D.
Alimohammadi
Department of Mathematics, Faculty of Science, Arak University, Arak, 38156-8-8349, Iran
author
S.
Sefidgar
Department of Mathematics, Faculty of Science, Arak University, Arak, 38156-8-8349, Iran
author
text
article
2014
eng
We characterize compact composition operators on real Banach spaces of complex-valued bounded Lipschitz functions on metric spaces, not necessarily compact, with Lipschitz involutions and determine their spectra.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
2252-0201
03
v.
02
no.
2014
87
105
http://jlta.iauctb.ac.ir/article_510037_f2807132f12a90eefbbe6c9c8d6fd72c.pdf
Hereditary properties of amenability modulo an ideal of Banach algebras
H.
Rahimi
Department of Mathematics, Islamic Azad University, Central Tehran Branch,
PO. Code 13185-768, Tehran, Iran
author
E.
Tahmasebi
Department of Mathematics, Islamic Azad University, Central Tehran Branch,
PO. Code 13185-768, Tehran, Iran
author
text
article
2014
eng
In this paper we investigate some hereditary properties of amenability modulo an ideal of Banach algebras. We show that if $(e_\alpha)_\alpha$ is a bounded approximate identity modulo I of a Banach algebra A and X is a neo-unital modulo I, then $(e_\alpha)_\alpha$ is a bounded approximate identity for X. Moreover we show that amenability modulo an ideal of a Banach algebra A can be only considered by the neo-unital modulo I Banach algebra over A.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
2252-0201
03
v.
02
no.
2014
107
114
http://jlta.iauctb.ac.ir/article_510038_8025eb73aea7884a257164413c18764c.pdf
A generalized cost Malmquist index to compare the productivities of units with negative data in DEA
G.
Tohidi
Department of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran, Iran
author
S.
Razavyan
Department of Mathematics, Islamic Azad University, South Tehran Branch, Tehran, Iran
author
S.
Tohidnia
Department of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran, Iran
author
text
article
2014
eng
In some data envelopment analysis (DEA) applications, some inputs of DMUs have negative values with positive cost. This paper generalizes the global cost Malmquist productivity index to compare the productivity of dierent DMUs with negative inputs in any two periods of times under variable returns to scale (VRS) technology, and then the generalized index is decomposed to several components. The obtained components are computed using the nonparametric linear programming models, known as DEA. To illustrate the generalized index and its components, a numerical example at three successive periods of time is given.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
2252-0201
03
v.
02
no.
2014
115
120
http://jlta.iauctb.ac.ir/article_510039_8dcc52652aa64f6e533c9e6440294fb1.pdf