Exact Inverse Matrices of Fermat and Mersenne Circulant Matrix
نویسندگان
چکیده
منابع مشابه
On the Norms and Spreads of Fermat, Mersenne and Gaussian Fibonacci RFMLR Circulant Matrices
Abstract: In this paper, we consider norms and spreads of RFMLR circulant matrices involving the Fermat, Mersenne sequences and Gaussian Fibonacci number, respectively. Firstly, we reviewed some properties of the Fermat, Mersenne sequences, Gaussian Fibonacci number and RFMLR circulant matrices. Furthermore, we give lower and upper bounds for the spectral norms and spread of these special matri...
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The first seventeen even perfect numbers are therefore obtained by substituting these values of ra in the expression 2n_1(2n —1). The first twelve of the Mersenne primes have been known since 1914; the twelfth, 2127 —1, was indeed found by Lucas as early as 1876, and for the next seventy-five years was the largest known prime. More details on the history of the Mersenne numbers may be found in ...
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Introduced the notion of symmetric circulant matrix on skew field, an easy method is given to determine the inverse of symmetric circulant matrix on skew field , with this method , we derived the formula of determine inverse about several special type of symmetric circulant matrix. Mathematics Subject Classification: 05A19, 15A15
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Given g ∈ N, what is the number of numerical semigroups S = 〈a, b〉 in N of genus |N \ S| = g? After settling the case g = 2 for all k, we show that attempting to extend the result to g = p for all odd primes p is linked, quite surprisingly, to the factorization of Fermat and Mersenne numbers.
متن کاملOn the Inverse Eigenvalue Problem for Real Circulant Matrices
The necessary condition for eigenvalue values of a circulant matrix is studied It is then proved that the necessary condition also su ces the existence of a circulant matrix with the prescribed eigenvalue values Introduction An n n matrix C of the form C c c cn cn c c cn cn cn c cn c c cn c is called a circulant matrix As each row of a circulant matrix is just the previous row cycled forward on...
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ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 2015
ISSN: 1085-3375,1687-0409
DOI: 10.1155/2015/760823