eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2014-06-01
03
02
61
66
510034
On the construction of symmetric nonnegative matrix with prescribed Ritz values
A. M. Nazaria
a-nazari@araku.ac.ir
1
E Afshari
2
Department of Mathematics, Arak University, P.O. Box 38156-8-8349, Iran.
Department of Mathematics, Khomein Branch, Islamic Azad University, Khomein, Iran.
In this paper for a given prescribed Ritz values that satisfy in the some special
conditions, we nd a symmetric nonnegative matrix, such that the given set be its Ritz values.
http://jlta.iauctb.ac.ir/article_510034_517ebe681c6b757bb36fe9cb83632347.pdf
Ritz values
Nonnegative matrix
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2014-06-01
03
02
67
78
510035
Existence and uniqueness of solution of Schrodinger equation in extended Colombeau algebra
M Alimohammady
amohsen@umz.ac.ir
1
F Fattahi
2
Department of Mathematics, University of Mazandaran, Babolsar, Iran.
Department of Mathematics, University of Mazandaran, Babolsar, Iran.
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.
http://jlta.iauctb.ac.ir/article_510035_c42bfbefe2796bde0219537ed06d07d8.pdf
Colombeau algebra
Marchaud fractional dierentiation
Schrodinger equation
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2014-06-01
03
02
79
85
510036
Product of normal edge-transitive Cayley graphs
A Assari
amirassari@jsu.ac.ir
1
Department of Basic Science, Jundi-Shapur University of Technology, Dezful, Iran.
For two normal edge-transitive Cayley graphs on groups H and K which have no
common direct factor and gcd(jH=H
′j; jZ(K)j) = 1 = gcd(jK=K
′j; jZ(H)j), we consider four
standard products of them and it is proved that only tensor product of factors can be normal
edge-transitive.
http://jlta.iauctb.ac.ir/article_510036_f4bda704af5dbd54e675114b68316877.pdf
Cayley graph
Normal edge-transitive
Product of graphs
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2014-06-01
03
02
87
105
510037
Compact composition operators on real Banach spaces of complex-valued bounded Lipschitz functions
D Alimohammadi
d-alimohammadi@araku.ac.ir
1
S Sedgar
2
Department of Mathematics, Faculty of Science, Arak University, Arak, 38156-8-8349, Iran.
Department of Mathematics, Faculty of Science, Arak University, Arak, 38156-8-8349, Iran.
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.
http://jlta.iauctb.ac.ir/article_510037_f2807132f12a90eefbbe6c9c8d6fd72c.pdf
Compact operator
composition operator
Lipschitz function
Lipschitz
involution
spectrum of an operator
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2014-06-01
03
02
107
114
510038
Hereditary properties of amenability modulo an ideal of Banach algebras
H Rahimi
rahimi@iauctb.ac.ir
1
E Tahmasebi
2
Department of Mathematics, Islamic Azad University, Central Tehran Branch, PO. Code 13185-768, Tehran, Iran.
Department of Mathematics, Islamic Azad University, Central Tehran Branch, PO. Code 13185-768, Tehran, Iran.
In this paper we investigate some hereditary properties of amenability modulo an
ideal of Banach algebras. We show that if (e) is a bounded approximate identity modulo I
of a Banach algebra A and X is a neo-unital modulo I, then (e) 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.
http://jlta.iauctb.ac.ir/article_510038_8025eb73aea7884a257164413c18764c.pdf
Amenability modulo an ideal
Neo-unital modulo an ideal
Approximate
identity modulo an ideal
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2014-06-01
03
02
115
120
510039
A generalized cost Malmquist index to compare the productivities of units with negative data in DEA
G Tohidi
gh tohidi@iauctb.ac.ir
1
S Razavyan
2
S Tohidnia
3
Department of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran, Iran.
Department of Mathematics, Islamic Azad University, South Tehran Branch, Tehran, Iran.
Department of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran, Iran.
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 com-
puted 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.
http://jlta.iauctb.ac.ir/article_510039_8dcc52652aa64f6e533c9e6440294fb1.pdf
Malmquist index
Circularity
Data Envelopment Analysis (DEA)
Cost
eciency
Returns to scale (VRS)
Negative data