Results 61 to 70 of about 966 (119)

On characteristic and permanent polynomials of a matrix

Special Matrices, 2017
There is a digraph corresponding to every square matrix over ℂ. We generate a recurrence relation using the Laplace expansion to calculate the characteristic and the permanent polynomials of a square matrix.
Singh Ranveer, Bapat R. B.
doaj   +1 more source

Another formulation of the Wick’s theorem. Farewell, pairing?

Special Matrices, 2015
The algebraic formulation of Wick’s theorem that allows one to present the vacuum or thermal averages of the chronological product of an arbitrary number of field operators as a determinant (permanent) of the matrix is proposed.
Beloussov Igor V.
doaj   +1 more source

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

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

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

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

Principal non-singularity of Fourier matrices on Zp×Zq ${\mathbb{Z}}_{p}{\times}{\mathbb{Z}}_{q}$ and Z2k×Zq ${\mathbb{Z}}_{2}^{k}{\times}{\mathbb{Z}}_{q}$

Demonstratio Mathematica
Let F n be the n × n Fourier matrix on the cyclic group Zn ${\mathbb{Z}}_{n}$ , a renowned theorem of Chebotarëv asserts that all minors in F n for prime n are non-zero.
Zhou Weiqi
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

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

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

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