Results 31 to 40 of about 1,099 (125)
Matrix Manipulations for Properties of Pell p-Numbers and their Generalizations
In this paper, we define the Pell-Pell p-sequence and then we discuss the connection of the Pell-Pell p-sequence with Pell and Pell p-sequences. Also, we provide a new Binet formula and a new combinatorial representation of the Pell-Pell p-numbers by the
Erdağ Özgür +2 more
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An extension and a generalization of Dedekind's theorem
For any given finite abelian group, we give factorizations of the group determinant in the group algebra of any subgroup. The factorizations are an extension of Dedekind's theorem.
Yamaguchi, Naoya
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Determinants of some special matrices over commutative finite chain rings
Circulant matrices over finite fields and over commutative finite chain rings have been of interest due to their nice algebraic structures and wide applications. In many cases, such matrices over rings have a closed connection with diagonal matrices over
Jitman Somphong
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Remarks on the $\alpha$--permanent
We recall Vere-Jones's definition of the $\alpha$--permanent and describe the connection between the (1/2)--permanent and the hafnian. We establish expansion formulae for the $\alpha$--permanent in terms of partitions of the index set, and we use these ...
Frenkel, Péter E.
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A two-dimensional numerical study has been conducted to analyze forced convective confined flow and heat transfer from a pair of side-by-side square cylinders with a transverse gap ratio (defined as the ratio of the distance between the obstacles to the ...
A. Sanyal, A. Dhiman
semanticscholar +1 more source
Characteristic polynomial, determinant and inverse of a Fibonacci-Sylvester-Kac matrix
In this paper, we consider a new Sylvester-Kac matrix, i.e., Fibonacci-Sylvester-Kac matrix. We discuss the eigenvalues, eigenvectors and characteristic polynomial of this matrix in two categories based on whether the Fibonacci-Sylvester-Kac matrix order
Jiang Zhaolin, Zheng Yanpeng, Li Tianzi
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On a recurrence for permanents of a sequence of 3-tridiagonal matrices
This is a corrigendum of the paper: Küçük, A. Z. & Düz, M. (2017). Relationships between the permanents of a certain type of k-tridiagonal symmetric Toeplitz and the Chebyshev polynomials.
P. Trojovský, Iva Zvoníková
semanticscholar +1 more source
Fuzzy Integral domains and Fuzzy regular sequences
In this paper, the notions of fuzzy zero-divisors and fuzzy integral domains are illustrated. Some fundamental properties of fuzzy integral domains are proved. Moreover, the notions of fuzzy regular element and fuzzy regular sequences are defined.
Saba Ayub, Waqas Mahmood
semanticscholar +1 more source
A determinant characterization of moment sequences with finitely many mass-points
To a sequence (s_n)_{n\ge 0} of real numbers we associate the sequence of Hankel matrices \mathcal H_n=(s_{i+j}),0\le i,j \le n. We prove that if the corresponding sequence of Hankel determinants D_n=\det\mathcal H_n satisfy D_n>0 for ...
Berg, Christian, Szwarc, Ryszard
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Generalized Gram–Hadamard inequality [PDF]
We generalize the classical Gram determinant inequality. Our generalization follows from the boundedness of the antisymmetric tensor product operator.
Constantinescu, Florin (Prof. Dr.) +1 more
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