On Fourier–Bessel matrix transforms and applications

2021 ◽  
Author(s):  
Mohamed Abdalla ◽  
Salah Boulaaras ◽  
Mohamed Akel
Keyword(s):  
Matrix Transforms

Summability of Matrix Transforms of Subsequences

1981 ◽  
Vol 24 (3) ◽  
pp. 359-364
Author(s):  
Thomas A. Keagy
Keyword(s):  
Limit Point ◽  
Regularity Condition ◽  
Summability Method ◽  
Finite Limit ◽  
Regular Matrix ◽  
Matrix Summability ◽  
Matrix Transforms

AbstractD. F. Dawson has considered several questions of the following nature. Suppose T is a regular matrix summability method. If A is a regular matrix and x is a sequence having a finite limit point, then there exists a subsequence y of x such that each finite limit point of x is a T-limit point of Ay. In the present paper, we show the regularity condition for A may be replaced by the requirement that A be a limit preserving bv to c map. This leads to summability characterizations for several classes of sequences.

Unified analysis of DOA estimation algorithms for covariance matrix transforms

1996 ◽  
Vol 55 (1) ◽  
pp. 107-115 ◽  
Author(s):  
A. Gorokhov ◽  
Yu. Abramovich ◽  
J.F. Bohme
Keyword(s):  
Covariance Matrix ◽  
Doa Estimation ◽  
Estimation Algorithms ◽  
Matrix Transforms

scholarly journals On the Dual Relationship Between Markov Chains of GI/M/1 and M/G/1 Type

2010 ◽  
Vol 42 (1) ◽  
pp. 210-225 ◽  
Author(s):  
P. G. Taylor ◽  
B. Van Houdt
Keyword(s):  
Markov Chains ◽  
Renewal Process ◽  
Markov Renewal Process ◽  
Dual Processes ◽  
Design Of Algorithms ◽  
Type Process ◽  
The Matrix ◽  
Positive Recurrent ◽  
Matrix Transforms ◽  
Phd Thesis

In 1990, Ramaswami proved that, given a Markov renewal process of M/G/1 type, it is possible to construct a Markov renewal process of GI/M/1 type such that the matrix transforms G(z, s) for the M/G/1-type process and R(z, s) for the GI/M/1-type process satisfy a duality relationship. In his 1996 PhD thesis, Bright used time reversal arguments to show that it is possible to define a different dual for positive-recurrent and transient processes of M/G/1 type and GI/M/1 type. Here we compare the properties of the Ramaswami and Bright dual processes and show that the Bright dual has desirable properties that can be exploited in the design of algorithms for the analysis of Markov chains of GI/M/1 type and M/G/1 type.

scholarly journals Matrix Fourier Transforms for Consistent Mathematical Models

2016 ◽  
Vol 2016 ◽  
pp. 1-10
Author(s):  
Oleg Yaremko ◽  
Natalia Yaremko
Keyword(s):  
Mathematical Models ◽  
Fourier Transforms ◽  
Integral Form ◽  
Integral Transforms ◽  
Mathematical Physics ◽  
Discontinuous Coefficients ◽  
Piecewise Homogeneous Media ◽  
Fourier Matrix ◽  
Matrix Transforms ◽  
Homogeneous Media

We create a matrix integral transforms method; it allows us to describe analytically the consistent mathematical models. An explicit constructions for direct and inverse Fourier matrix transforms with discontinuous coefficients are established. We introduce special types of Fourier matrix transforms: matrix cosine transforms, matrix sine transforms, and matrix transforms with piecewise trigonometric kernels. The integral transforms of such kinds are used for problems solving of mathematical physics in homogeneous and piecewise homogeneous media. Analytical solution of iterated heat conduction equation is obtained. Stress produced in the elastic semi-infinite solid by pressure is obtained in the integral form.

scholarly journals Non-Unit Bidiagonal Matrices for Factorization of Vandermonde Matrices

2015 ◽  
Vol 12 ◽  
pp. 1-13
Author(s):  
R. Purushothaman Nair
Keyword(s):  
Vandermonde Matrix ◽  
Inverse Matrix ◽  
Identity Matrix ◽  
Vandermonde Matrices ◽  
The Matrix ◽  
Matrix Transforms ◽  
The Given ◽  
Zero Vector

A non-unit bidiagonal matrix and its inverse with simple structures are introduced. These matrices can be constructed easily using the entries of a given non-zero vector without any computations among the entries. The matrix transforms the given vector to a column of the identity matrix. The given vector can be computed back without any round off error using the inverse matrix. Since a Vandermonde matrix can also be constructed using given n quantities, it is established in this paper that Vandermonde matrices can be factorized in a simple way by applying these bidiagonal matrices. Also it is demonstrated that factors of Vandermonde and inverse Vandermonde matrices can be conveniently presented using the matrices introduced here.

UV-induced hydrogen-atom transfer and hydrogen-atom detachment in monomeric 7-azaindole isolated in Ar and n-H2 matrices

2017 ◽  
Vol 19 (18) ◽  
pp. 11447-11454 ◽  
Author(s):  
Maciej J. Nowak ◽  
Igor Reva ◽  
Hanna Rostkowska ◽  
Leszek Lapinski
Keyword(s):  
Hydrogen Atom ◽  
Hydrogen Atom Transfer ◽  
Atom Transfer ◽  
Matrix Transforms ◽  
Uv Excitation

Upon UV excitation, the N1H form of 7-azaindole isolated in an Ar matrix transforms into N7H, C3H tautomers and the 7-azaindolyl radical; whereas only C3H and 7-azaindolyl radical products are photogenerated in solid H2 environment.

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