ORIGINAL_ARTICLE
On the construction of symmetric nonnegative matrix with prescribed Ritz values
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.
http://jlta.iauctb.ac.ir/article_510034_517ebe681c6b757bb36fe9cb83632347.pdf
2014-09-25T11:23:20
2017-12-12T11:23:20
61
66
Ritz values
Nonnegative matrix
A. M.
Nazaria
a-nazari@araku.ac.ir
true
1
Department of Mathematics, Arak University, P.O. Box 38156-8-8349, Iran
Department of Mathematics, Arak University, P.O. Box 38156-8-8349, Iran
Department of Mathematics, Arak University, P.O. Box 38156-8-8349, Iran
LEAD_AUTHOR
E.
Afshari
true
2
Department of Mathematics, Khomein Branch, Islamic Azad University, Khomein, Iran
Department of Mathematics, Khomein Branch, Islamic Azad University, Khomein, Iran
Department of Mathematics, Khomein Branch, Islamic Azad University, Khomein, Iran
AUTHOR
[1] Bertram Kostant, Nolan Wallach, GelfandZeitlin theory from the perspective of classical mechanics I, Prog. Math. 243 (2006) 319-364.
1
[2] Bertram Kostant, Nolan Wallach, GelfandZeitlin theory from the perspective of classical mechanics II, Prog. Math. 244 (2006) 387-420.
2
[3] Beresford Parlett, Gilbert Strang, Matrices with prescribed Ritz values, Linear Algebra and its Applications 428 (2008) 1725-1739.
3
[4] A. M. Nazari, F. Sherafat, On the inverse eigenvalue problem for nonnegative matrices of order two to five, Linear Algebra Appl. 436 (2012) 1771-1790.
4
ORIGINAL_ARTICLE
Existence and uniqueness of solution of Schrodinger equation in extended Colombeau algebra
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
2014-10-01T11:23:20
2017-12-12T11:23:20
67
78
Colombeau algebra
Marchaud fractional differentiation
Schrodinger equation
M.
Alimohammady
amohsen@umz.ac.ir
true
1
Department of Mathematics, University of Mazandaran, Babolsar, Iran
Department of Mathematics, University of Mazandaran, Babolsar, Iran
Department of Mathematics, University of Mazandaran, Babolsar, Iran
LEAD_AUTHOR
F.
Fattahi
true
2
Department of Mathematics, University of Mazandaran, Babolsar, Iran
Department of Mathematics, University of Mazandaran, Babolsar, Iran
Department of Mathematics, University of Mazandaran, Babolsar, Iran
AUTHOR
[1] J. F. Colombeau, New generalized functions and Multiplication of distributions, North-Holland, Amsterdam, 1984.
1
[2] J. F. Colombeau and A. Y. L. Roux, Multiplications of distributions in elasticity and hydrodynamics, J. Math. Phys., 29 (1988), 315-319.
2
[3] J. F. Colombeau, Elementary Introduction to New Generalized Functions, North-Holland Math. Studies Vol. 113, North-Holland, Amsterdam 1985.
3
[4] I. M. Gel'fand and G. E. Shilov, Generalized functions, Academic press, New York, Vol. I, 1964.
4
[5] D. Rajter-Ciric, Fractional derivatives of Colombeau Generalized stochastic processes defined on R+, Appl. Anal. Discrete Math. 5 (2011), 283-297.
5
[6] M. Stojanovic , Extension of Colombeau algebra to derivatives of arbitrary order $D^{alpha}$, Application to ODEs and PDEs with entire and fractional derivatives, Nonlinear Analysis 5 (2009), 5458-5475.
6
ORIGINAL_ARTICLE
Product of normal edge-transitive Cayley graphs
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.
http://jlta.iauctb.ac.ir/article_510036_f4bda704af5dbd54e675114b68316877.pdf
2014-09-27T11:23:20
2017-12-12T11:23:20
79
85
Cayley graph
Normal edge-transitive
Product of graphs
A.
Assari
amirassari@jsu.ac.ir
true
1
Department of Basic Science, Jundi-Shapur University of Technology, Dezful, Iran
Department of Basic Science, Jundi-Shapur University of Technology, Dezful, Iran
Department of Basic Science, Jundi-Shapur University of Technology, Dezful, Iran
LEAD_AUTHOR
[1] M. Alaeiyan. On normal edge-transitive Cayley graphs of some abelian groups. Southeast Asian Bull. Math. 33 (2009), no. 1, 13-19.
1
[2] M. R. Darafsheh, A. Assari. Normal edge-transitive Cayley graphs on non-abelian groups of order 4p, where p is a prime number. Sci. China Math. 56 (2013), no. 1, 213-219.
2
[3] J. N. S. Bidwell, M. J. Curran, D. J. McCaughan. Automorphisms of direct products of nite groups. Arch. Math. (Basel) 86 (2006), no. 6, 481-489.
3
[4] G. B. Cagaanan, S. R. J. Canoy. On the hull sets and hull number of the Cartesian product of graphs. Discrete Math. 287 (2004), no. 1-3, 141-144.
4
[5] P. Dorbec, M. Mollard, S. Klavzar, S. Spacapan. Power domination in product graphs. SIAM J. Discrete Math. 22 (2008), no. 2, 554-567.
5
[6] X. G. Fang, C. H. Li, M. Y. Xu. On edge-transitive Cayley graphs of valency four. European J. Combin. 25 (2004), no. 7, 1107-1116.
6
[7] C. D. Godsil. On the full automorphism group of a graph. Combinatorica 1 (1981), no. 3, 243-256.
7
[8] C. Godsil, G. Royle. Algebraic graph theory. Graduate Texts in Mathematics, 207. Springer-Verlag, New York, 2001.
8
[9] P. C. Houlis. Quotients of normal edge-transitive Cayley graphs. University of Western Australia, 1998.
9
[10] N. Hosseinzadeh, A. Assari. Graph operations on Cayley graphs of semigroups. International Journal of Applied Mathematical Research, 3 (1) (2014) 54-57.
10
[11] C. H. Li, Z. P. Lu, H. Zhang. Tetravalent edge-transitive Cayley graphs with odd number of vertices. J. Combin. Theory Ser. B 96 (2006), no. 1, 164-181.
11
[12] D. Marusic, R. Nedela. Maps and half-transitive graphs of valency 4. European J. Combin. 19 (1998), no. 3, 345-354.
12
[13] C. E. Praeger. Finite normal edge-transitive Cayley graphs. Bull. Austral. Math. Soc. 60 (1999), no. 2, 207-220.
13
[14] C. Wang, D. Wang, M. Xu. Normal Cayley graphs of nite groups. Sci. China Ser. A 41 (1998), no. 3, 242-251.
14
[15] M. Y. Xu. Automorphism groups and isomorphisms of Cayley digraphs. Graph theory (Lake Bled, 1995). Discrete Math. 182 (1998), no. 1-3, 309-319.
15
[16] J. M. Xu, C. Yang. Connectivity and super-connectivity of Cartesian product graphs. Ars Combin. 95 (2010), 235-245.
16
[17] J. M. Xu, C. Yang. Connectivity of Cartesian product graphs. Discrete Math. 306 (2006), no. 1, 159-165.
17
ORIGINAL_ARTICLE
Compact composition operators on real Banach spaces of complex-valued bounded Lipschitz functions
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
2014-10-12T11:23:20
2017-12-12T11:23:20
87
105
Compact operator
composition operator
Lipschitz function
Lipschitz involution
spectrum of an operator
D.
Alimohammadi
d-alimohammadi@araku.ac.ir
true
1
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
Department of Mathematics, Faculty of Science, Arak University, Arak, 38156-8-8349, Iran
LEAD_AUTHOR
S.
Sefidgar
true
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
Department of Mathematics, Faculty of Science, Arak University, Arak, 38156-8-8349, Iran
AUTHOR
[1] D. Alimohammadi and A. Ebadian, Hedberg;s theorem in real Lipschitz algebras, Indian J. Pure Appl. Math. 32 (10)(2001), 1479-1493.
1
[2] F. F. Bonsall and J. Duncan, Complete Normed Algebras, Springer- Verlag, 1973.
2
[3] A. Ebadian and S. Ostadbashi, Compact homomorphisms of real Lipschitz algebras, Southeast Asian Bull. Math. 30(4) (2006), 653-661.
3
[4] A. Jimenez-Vargas and M. Villegas-Vallecillos, Compact composition operators on noncompact Lipschitz spaces, J. Math. Anal. Appl. 398(2013), 221-229.
4
[5] H. Kamowitz and S. Scheinberg, Some properties of endomorphisms of Lipschitz algebras, Studia Math. 96 (1990), 61-67.
5
[6] S. H. Kulkarni and B. V. Limaye, Gleason parts of real function algebras, Canad. J. Math. (33) (1) (1981), 181-200.
6
[7] S. H. Kulkarni and B. V. Limaye, Real Function Algebras, Marcel Dekker, New Yorke, 1992.
7
[8] D. R. Sherbert, Banach algebras of Lipschitz functions, Pacic J. Math. 13(1963), 1387-1399.
8
[9] D. R. Sherbert, The structure of ideals and point derivations of Banach algebras of Lipschitz functions, Trans. Amer. Math. Soc. 111(1964). 240-272.
9
[10] N. Weaver, Lipschitz Algebras, World Scientic, New Jersey, 1999.
10
ORIGINAL_ARTICLE
Hereditary properties of amenability modulo an ideal of Banach algebras
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.
http://jlta.iauctb.ac.ir/article_510038_8025eb73aea7884a257164413c18764c.pdf
2014-10-04T11:23:20
2017-12-12T11:23:20
107
114
Amenability modulo an ideal
Neo-unital modulo an ideal
Approximate identity modulo an ideal
H.
Rahimi
rahimi@iauctb.ac.ir
true
1
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
Department of Mathematics, Islamic Azad University, Central Tehran Branch,
PO. Code 13185-768, Tehran, Iran
LEAD_AUTHOR
E.
Tahmasebi
true
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
Department of Mathematics, Islamic Azad University, Central Tehran Branch,
PO. Code 13185-768, Tehran, Iran
AUTHOR
[1] M. Amini and H. Rahimi, Amenability of semigroups and their algebras modulo a group congruence, Acta Mathematica Hungarica, Vol 144, Issue 2 , (2014), pp 407-415.
1
[2] G. K. Dales, A.T.M. Lau and D. Strauss, Banach Algebras on Semigroups and their Compactications, Memoirs American Mathematical Society, American Mathematical Society, Providence, (2010), Vol. 205, No. 9-66.
2
[3] M. Day, Amenable groups, Bull. Amer. Math, Soc, (1950), 56: 46-57.
3
[4] M. Day, Amenable semigroups, Illinois J. Math, (1957), 1: 509-544.
4
[5] J. Duncan and A. L. T Paterson, Amenability for discrete convolution semigroup algebras, Math. Scandinavica, (1990), 66: 141-146.
5
[6] J. Duncan and I. Namioka, Amenability of inverse semigroups and their semigroup algebras, Proc. Royal Soc. Edinburgh Sect, (1978), A 80: 309321.
6
[7] G. H. Eslamzadeh, Ideals and representations of certain semigroup algebras, Semigroup Forum 69 (2004), 51-62.
7
[8] N. Groenbaek, Amenability of discrete convolution algebras, the commutative case, Pacic J. Math, (1990), 143: 243-249.
8
[9] J. M. Howie, Fundamentals of Semigroup Theory, Clarendon Press, Oxford (1995).
9
[10] B. E. Johnson, Cohomology in Banach Algebras, American Mathematical Society, Providence, RI, 1972.
10
[11] H. Rahimi and E. Tahmasebi, Amenability and Contractibility modulo an ideal of Banach algebras, Abstract and Applied Analysis, (2014), 514761.
11
[12] H. Rahimi and E. Tahmasebi, A note on amenability modulo an ideal of unitial Banach algebras, J. Mathematical Extension, In press.
12
[13] Yu. V. Selivanov, Banach algebras of small global dimension zero, Uspekhi Mat. Nauk, (1976), 31: 2 (188), 227228.
13
[14] J. Von Neumann, Zur allgemeinem Theorie des Mabes, J. Funct. Anal, (1929), 13: 73-116.
14
ORIGINAL_ARTICLE
A generalized cost Malmquist index to compare the productivities of units with negative data in DEA
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.
http://jlta.iauctb.ac.ir/article_510039_8dcc52652aa64f6e533c9e6440294fb1.pdf
2014-09-29T11:23:20
2017-12-12T11:23:20
115
120
Malmquist index
Circularity
Data envelopment analysis (DEA)
Cost efficiency
Returns to scale (VRS)
Negative data
G.
Tohidi
true
1
Department of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran, Iran
Department of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran, Iran
Department of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran, Iran
LEAD_AUTHOR
S.
Razavyan
true
2
Department of Mathematics, Islamic Azad University, South Tehran Branch, Tehran, Iran
Department of Mathematics, Islamic Azad University, South Tehran Branch, Tehran, Iran
Department of Mathematics, Islamic Azad University, South Tehran Branch, Tehran, Iran
AUTHOR
S.
Tohidnia
true
3
Department of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran, Iran
Department of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran, Iran
Department of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran, Iran
AUTHOR
[1] D. W. Caves, L. R. Christensen and W. E. Diewert, The economic theory of index numbers and the measurement of input, output and productivity, Econometrica, 50, (1982) 1393-1414.
1
[2] A. Charnes, W. W. Cooper and E. Rhodes, Measuring the efficiency of decision making units, European Journal of Operational Research, 2, (1978) 429-444.
2
[3] A. Emrouznejad, A. L. Anouze and E. Thanassoulis, A semi-oriented radial measure for measuring the efficiency of decision making units with negative data, using DEA, European Journal of Operational Research, 200, (2010) 297-304.
3
[4] R. Fare, S. Grosskopf, M. Norris and Z. Zhang, Productivity growth, technical progress and efficiency changes in industrialized countries, American Economic Review, 84, (1994) 66-83.
4
[5] N. Maniadakis and E. Thanassoulis, A cost Malmquist productivity index, European Journal of Operational Research, 154, (2004) 396-409.
5
[6] M. C. A. S. Portela, E. Thanassoulis and G. P. M. Simpson, Negative data in DEA: A directional distance approach applied to bank branches, Journal of the Operational Research Society, 55, (2004) 1111-1121.
6
[7] M. C. A. S. Portela and E. Thanassoulis, A circular Malmquist-type index for measuring productivity, Aston Working Paper RP08-02., Aston University Birmingham B47ET, UK, (2008).
7
[8] M. C. A. S. Portela and E. Thanassoulis, Malmquist-type indices in the presence of negative data: An application to bank branches, Journal of banking & Finance, 34, (2010) 1472-1483.
8
[9] J. A. Sharp, W. Meng and W. Liu, A modied slacks-based measure model for data envelopment analysis with natural negative outputs and inputs, Journal of the Operational Research Society, 58, (2007) 1672-1677.
9
[10] G. Tohidi, S. Razavyan and S. Tohidnia, A global cost Malmquist productivity index using data envelopment analysis, Journal of the Operational Research Society, 63 (2012) 72-78.
10
[11] G. Tohidi, S. Razavyan and S. Tohidnia, A prot Malmquist productivity index, Journal of Industrial En-
11
gineering International, 6, No. 10, (2010) 23-30.
12
[12] G. Tohidi, S. Razavyan, A circular global prot Malmquist productivity index in data Envelopment analysis,
13
Applied Mathematical Modelling, 37, (2013) 216-227.
14
[13] G. Tohidi, S. Razavyan and S. Tohidnia, Prot Malmquist index and its global form in the presence of the
15
negative data in DEA, Journal of Applied Mathematics, doi.org/10.1155/2014/276092.
16