scholarly journals Powers of Complex Persymmetric Antitridiagonal Matrices with Constant Antidiagonals

2014 ◽  
Vol 2014 ◽  
pp. 1-5 ◽  
Author(s):  
Haibo Wang

We derive a general expression for the pth power (p∈N) of any complex persymmetric antitridiagonal Hankel (constant antidiagonals) matrices. Numerical examples are presented, which show that our results generalize the results in the related literature (Rimas 2008, Wu 2010, and Rimas 2009).

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Guimin Liu ◽  
Hongbin Lv

<p style='text-indent:20px;'>We obtain the improved results of the upper and lower bounds for the spectral radius of a nonnegative tensor by its majorization matrix's digraph. Numerical examples are also given to show that our results are significantly superior to the results of related literature.</p>


2011 ◽  
Vol 1 (2) ◽  
pp. 32-33
Author(s):  
Prakasha GS Prakasha GS ◽  
◽  
Dr. H R Jayamma Dr. H R Jayamma

Metahumaniora ◽  
2017 ◽  
Vol 7 (1) ◽  
pp. 128
Author(s):  
Dicky Rachmat Pauji

Amâlî (Imla) is a methodology used in studying Arabic language and literature that has a very wide scope. Amâlî (Imla) itself can be translated as: to dictate, to add, to fill in and etc. Amâlî (Imla) may also be interpreted further by the following narration: A teacher (ustadz) comes to a place like a mosque, an Islamic school or any learning space in general. In the process of teaching and learning, all that are spoken by the teacher is written down by the students on pieces of paper they had prepared earlier then be compiled into a book which will be preserved. This paper presents a brief summary of Amâlî (Imla) as a methodology which is discussed in many Amâlî (Imla) related literature works written from the beginning of 7th century until the 14th century. The subject Amâlî (Imla) is written in exceedingly diverse manner, unique to each of numerous known authors. This paper also discusses about various meaning of the word Amâlî (Imla) that has been interpreted differently among authors. In addition, the method of separating chapters and other minor distinct writing style that each of various groups of Amâlî (Imla) authors had developed was presented in this work. And lastly, this paper discusses the fact that Amâlî (Imla) related textbook authors were not only originated from the Middle East, but also from regions such as Iran (Huzistan) and Andalusia


2014 ◽  
Vol 6 (1) ◽  
pp. 1024-1031
Author(s):  
R R Yadav ◽  
Gulrana Gulrana ◽  
Dilip Kumar Jaiswal

The present paper has been focused mainly towards understanding of the various parameters affecting the transport of conservative solutes in horizontally semi-infinite porous media. A model is presented for simulating one-dimensional transport of solute considering the porous medium to be homogeneous, isotropic and adsorbing nature under the influence of periodic seepage velocity. Initially the porous domain is not solute free. The solute is initially introduced from a sinusoidal point source. The transport equation is solved analytically by using Laplace Transformation Technique. Alternate as an illustration; solutions for the present problem are illustrated by numerical examples and graphs.


2007 ◽  
Vol 7 (1) ◽  
pp. 68-82
Author(s):  
K. Kropielnicka

AbstractA general class of implicit difference methods for nonlinear parabolic functional differential equations with initial boundary conditions of the Neumann type is constructed. Convergence results are proved by means of consistency and stability arguments. It is assumed that given functions satisfy nonlinear estimates of Perron type with respect to functional variables. Differential equations with deviated variables and differential integral problems can be obtained from a general model by specializing given operators. The results are illustrated by numerical examples.


2007 ◽  
Vol 7 (1) ◽  
pp. 25-47 ◽  
Author(s):  
I.P. Gavrilyuk ◽  
M. Hermann ◽  
M.V. Kutniv ◽  
V.L. Makarov

Abstract The scalar boundary value problem (BVP) for a nonlinear second order differential equation on the semiaxis is considered. Under some natural assumptions it is shown that on an arbitrary finite grid there exists a unique three-point exact difference scheme (EDS), i.e., a difference scheme whose solution coincides with the projection of the exact solution of the given differential equation onto the underlying grid. A constructive method is proposed to derive from the EDS a so-called truncated difference scheme (n-TDS) of rank n, where n is a freely selectable natural number. The n-TDS is the basis for a new adaptive algorithm which has all the advantages known from the modern IVP-solvers. Numerical examples are given which illustrate the theorems presented in the paper and demonstrate the reliability of the new algorithm.


Author(s):  
Boris N. Rakhmanov ◽  
Vladimir I. Kezik ◽  
Vladimir T. Kibovsky ◽  
Valentin M. Ponomarev

Introduction.Evidences prove falseness of formula determining maximal allowable level of total energy of laser irradiation in case when eyes or skin are simultaneously exposed to several irradiation sources with various wavelengths. The formula was mentioned in actual «Sanitary rules and regulations for lasers construction and exploitation» Nо 5804–91 and in SanPiN 2.2.4.3359–16, that in a part of VIII section «Laser irradiation atworkplace» are latest acting regulation document on laser safety. SanPiN 2.2.4.13–2–2006 of Belarus Republic and regulation document Nо 299 of Customs Union Commission of Eurasia Economic Community on 28/05/2010 appeared to contain other, more correct formula determining the same maximal allowable level.Objectivewas to improve regulation basis in laser safety by correcting mistakes made previously in regulation documents.Deducing formulae.The article presents thorough and consistent deducing a formula to determine total energy of laser irradiation in case when eyes or skin are simultaneously and jointly exposed to several irradiation sources with various wavelengths. The efforts resulted in the formula that agreed with formulae presented in the regulation document on laser safety of Belarus Republic and in the regulation document Nо 299 of Customs Union Commission of Eurasia Economic Community on 28/05/2010.Discussion.Correctness of the obtained formula is supported by numerical examples and by comparison with other formulae used in regulation documents on hygienic regulation of other acting factors.Conclusion.Results of the work are summarized, and emphasis is made on its value for solving problems of improving regulation basis for laser safety.


2018 ◽  
Vol 1 (1) ◽  
pp. 128-133
Author(s):  
Selvi Selvi

Economic globalization between countries becomes commonplace. Differences in financial rules are used for many parties to practice the Basic Erosion and Shifting Profit (BEPS) which leads to state losses. In tackling it has been agreed to implement Automatic Exchange of Information (AEoI), which automatically converts data into large data in the field of taxation.The research method of this paper is a literature study which combines several related literature and global and national implications using secondary data.Drawing up the conclusion that AEoI challenges have been theoretically overcome by Indonesia as a developing country. However, practically mash has not been able to find out whether it can be overcome or not because Indonesia still has not implemented AEoI


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