Results 21 to 30 of about 434,628 (281)

Transformations of ray transferences of optical systems to augmented Hamiltonian matrices and the problem of the average system

open access: yesAfrican Vision and Eye Health, 2007
The first-order optical nature of an optical system (including an eye) is completely characterized by a 55 ×  matrix called the ray transference.
J. R. Cardoso
doaj   +1 more source

ON THE COMMUTATION MATRIX

open access: yesBarekeng, 2023
The commutation matrix is a matrix that transforms any vec matrix , to vec transpose . In this article, three definitions of the commutation matrix are presented in different ways. It is shown that these three definitions are equivalent.
Yanita Yanita, Lyra Yulianti
doaj   +1 more source

Equiconvergence of matrix transformations [PDF]

open access: yesProceedings of the American Mathematical Society, 1978
Equiconvergence of matrix transformations is related to the existence of Tauberian constants. Agnew’s result on the equiconvergence of Cesàro and Riesz means is shown to be best possible. Finally, equiconvergence of equivalent arithmetical summation methods related to the prime number theorem is investigated.
openaire   +2 more sources

Application of wavelets to singular integral scattering equations [PDF]

open access: yes, 2004
The use of orthonormal wavelet basis functions for solving singular integral scattering equations is investigated. It is shown that these basis functions lead to sparse matrix equations which can be solved by iterative techniques.
B. M. Kessler   +10 more
core   +1 more source

On a Class of Parametric Transforms and Its Application to Image Compression

open access: yesEURASIP Journal on Advances in Signal Processing, 2007
A class of parametric transforms that are based on unified representation of transform matrices in the form of sparse matrix products is described. Different families of transforms are defined within the introduced class. All transforms of one family can
David Guevorkian   +2 more
doaj   +2 more sources

R-matrix theory of driven electromagnetic cavities [PDF]

open access: yes, 2003
Resonances of cylindrical symmetric microwave cavities are analyzed in R-matrix theory which transforms the input channel conditions to the output channels.
A. Heine   +21 more
core   +1 more source

Quaternion-Type Catalan Transforms of the ρ-Fibonacci and ρ-Lucas Numbers

open access: yesJournal of Mathematics, 2023
In this paper, we define a new sequence called the quaternion-type Catalan sequence and give generating function, exponential representation, quaternionic Catalan matrix and its some properties.
Kübra Gül
doaj   +1 more source

Fractional operators for the Wright hypergeometric matrix functions

open access: yesAdvances in Difference Equations, 2020
In this paper, we contribute to the results of Bakhet et al. (Integral Transforms Spec. Funct. 30:138–156, 2019) by applying fractional operators to the Wright hypergeometric matrix functions. We give matrix recurrence relations and integral formulas for
M. Abdalla
doaj   +1 more source

Matrix Transformations of Power Series [PDF]

open access: yesProceedings of the American Mathematical Society, 1994
We consider the sequence of transforms ( g n ) ({g_n}) of a power series ∑ n = 0 ∞ a n
Borwein, David, Jakimovski, Amnon
openaire   +1 more source

Binomial Transforms of the Padovan and Perrin Matrix Sequences

open access: yesAbstract and Applied Analysis, 2013
We apply the binomial transforms to Padovan and Perrin matrix sequences. Also, the Binet formulas, summations, and generating functions of these transforms are found by recurrence relations.
Nazmiye Yilmaz, Necati Taskara
doaj   +1 more source

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