Results 61 to 70 of about 962 (116)

On the arrowhead-Fibonacci numbers

Open Mathematics, 2016
In this paper, we define the arrowhead-Fibonacci numbers by using the arrowhead matrix of the characteristic polynomial of the k-step Fibonacci sequence and then we give some of their properties.
Gültekin Inci, Deveci Ömür
doaj   +1 more source

Monotonicity, convexity, and Maclaurin series expansion of Qi's normalized remainder of Maclaurin series expansion with relation to cosine

Open Mathematics
In this article, the authors introduce Qi’s normalized remainder of the Maclaurin series expansion of Qi’s normalized remainder for the cosine function.
Pei Wei-Juan, Guo Bai-Ni
doaj   +1 more source

M-matrices satisfy Newton's inequalities

, 2005
Newton's inequalities $c_n^2 \ge c_{n-1}c_{n+1}$ are shown to hold for the normalized coefficients $c_n$ of the characteristic polynomial of any $M$- or inverse $M$-matrix.
Holtz, Olga
core   +1 more source

Determinant evaluations for binary circulant matrices

Special Matrices, 2014
Determinant formulas for special binary circulant matrices are derived and a new open problemregarding the possible determinant values of these specific circulant matrices is stated. The ideas used forthe proofs can be utilized to obtain more determinant
Kravvaritis Christos
doaj   +1 more source

Sylvester Hadamard matrices revisited

Special Matrices, 2014
In this work we revisited some properties of Sylvester Hadamard matrices of order 2k. Based onlyon the existence of a base from which any Sylvester Hadamard matrix can be constructed, we prove that theirrows (columns) are closed under addition and that ...
Mitrouli M.
doaj   +1 more source

On the enumeration of symmetric tridiagonal matrices with prescribed determinant over commutative finite chain rings

Special Matrices
Determinants of structured matrices play a fundamental role in both pure and applied mathematics, with wide-ranging applications in linear algebra, combinatorics, coding theory, and numerical analysis.
Martinez-Moro Edgar, Rodnit Neennara, Jitman Somphong   +2 more
doaj   +1 more source

Lih Wang's and Dittert's conjectures on permanents

Special Matrices
Let Ωn{\Omega }_{n} denote the set of all doubly stochastic matrices of order nn. Lih and Wang conjectured that for n≥3n\ge 3, per(tJn+(1−t)A)≤t\left(t{J}_{n}+\left(1-t)A)\le tperJn+(1−t){J}_{n}+\left(1-t)perAA, for all A∈ΩnA\in {\Omega }_{n} and all t ...
Udayan Divya K., Somasundaram Kanagasabapathi   +1 more
doaj   +1 more source

On the exact decryption range for Gentry–Halevi's implementation of fully homomorphic encryption

Journal of Mathematical Cryptology, 2014
In this paper, we revisit the fully homomorphic encryption (FHE) scheme implemented by Gentry and Halevi, which is just an instantiation of Gentry's original scheme based on ideal lattices.
Yasuda Masaya, Yokoyama Kazuhiro, Shimoyama Takeshi, Kogure Jun, Koshiba Takeshi   +4 more
doaj   +1 more source

Computing the sequence of k-cardinality assignments. [PDF]

J Comb Optim, 2022
Rosenmann A.
europepmc   +1 more source

On the spectrum of tridiagonal matrices with two-periodic main diagonal

Special Matrices
We find the spectrum and eigenvectors of an arbitrary irreducible complex tridiagonal matrix with two-periodic main diagonal. This is expressed in terms of the spectrum and eigenvectors of the matrix with the same sub- and superdiagonals and zero main ...
Dyachenko Alexander, Tyaglov Mikhail
doaj   +1 more source