منابع مشابه
The spectral norms of geometric circulant matrices with the generalized k-Horadam numbers
In this paper, we use the algebra methods, the properties of the r-circulant matrix and the geometric circulant matrix to study the upper and lower bound estimate problems for the spectral norms of a geometric circulant matrix involving the generalized k-Horadam numbers, and we obtain some sharp estimations for them. We can also give a new estimation for the norms of a r-circulant matrix involv...
متن کاملKathy Horadam: sixty
Kathy Horadam was born in 1951 in Armidale, Australia. Her BSc and PhD degrees, both in pure mathematics, are from the Australian National University. The major part of Kathy’s career has been at RMIT University, where she has been a professor of mathematics since 1995. Even though Kathy has worked in academia for 30 years, she has also undertaken defence research, working for three years in th...
متن کاملOn the Basic Properties of g-Circulant Matrix via Generalized k-Horadam Numbers
In this paper, by considering the g-circulant matrix Cn,g(H) = gcirc(Hk,1,Hk,2, . . . ,Hk,n) whose entries are the generalized k-Horadam numbers, we present a new generalization to compute spectral norm, determinant and inverse of Cn,g(H). In fact the results in here are the most general statements to obtain the inverses and determinants in such matrices having the elements of all second order ...
متن کاملInverse and Moore–penrose Inverse of Toeplitz Matrices with Classical Horadam Numbers
For integers s,k with s 0 and k 0 , we define a class of lower triangular Toeplitz matrices U (s,k) n of type (s,k) , whose non-zero entries are the classical Horadam numbers U (a,b) i . In this paper, we derive a convolution formula containing the Horadam numbers. Using this formula, we obtain several combinatorial identities involving the Horadam numbers and the generalized Fibonacci numbers....
متن کاملOn the Characterization of Periodic Generalized Horadam Sequences
The Horadam sequence is a direct generalization of the Fibonacci numbers in the complex plane, which depends on a family of four complex parameters: two recurrence coefficients and two initial conditions. In this article a computational matrix-based method is developed to formulate necessary and sufficient conditions for the periodicity of generalized complex Horadam sequences, which are genera...
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ژورنال
عنوان ژورنال: Discussiones Mathematicae - General Algebra and Applications
سال: 2018
ISSN: 1509-9415,2084-0373
DOI: 10.7151/dmgaa.1287