Results 21 to 30 of about 5,169 (253)

Some new identities for the sum of generalized Fibonacci numbers and generalized Lucas numbers [PDF]

Mathematica Moravica
Let UN and Vn denote the n-th generalized Fibonacci and generalized Lucas numbers, respectively. In this paper, we calculate the n-th powers of some square matrices by diagonalizing them with their eigenvalues and eigenvectors.
Lıman Gülsüm, Keskın Refık, Güney Merve   +2 more
doaj   +1 more source

Exact solution of matricial Φ23 quantum field theory

Nuclear Physics B, 2017
We apply a recently developed method to exactly solve the Φ3 matrix model with covariance of a two-dimensional theory, also known as regularised Kontsevich model. Its correlation functions collectively describe graphs on a multi-punctured 2-sphere.
Harald Grosse, Akifumi Sako, Raimar Wulkenhaar   +2 more
doaj   +1 more source

Generalized Pseudospectral Method and Zeros of Orthogonal Polynomials

Advances in Mathematical Physics, 2018
Via a generalization of the pseudospectral method for numerical solution of differential equations, a family of nonlinear algebraic identities satisfied by the zeros of a wide class of orthogonal polynomials is derived.
Oksana Bihun, Clark Mourning
doaj   +1 more source

Rainbow tensor model with enhanced symmetry and extreme melonic dominance

Physics Letters B, 2017
We introduce and briefly analyze the rainbow tensor model where all planar diagrams are melonic. This leads to considerable simplification of the large N limit as compared to that of the matrix model: in particular, what are dressed in this limit are ...
H. Itoyama, A. Mironov, A. Morozov
doaj   +1 more source

On the commuting solutions to the Yang-Baxter-like matrix equation for identity matrix minus special rank-two matrices

Filomat, 2018
Let A=I-PQT, where P and Q are two n x 2 complex matrices of full column rank such that det(QTP)=0. We find all the commuting solutions of the quadratic matrix equation AXA = XAX.
Yin, Hui-Hui, Wang, Xiang, Tang, Xiao-Bin, Chen, Lei   +3 more
openaire   +3 more sources

Maximal cuts in arbitrary dimension

Journal of High Energy Physics, 2017
We develop a systematic procedure for computing maximal unitarity cuts of multiloop Feynman integrals in arbitrary dimension. Our approach is based on the Baikov representation in which the structure of the cuts is particularly simple. We examine several
Jorrit Bosma, Mads Sogaard, Yang Zhang
doaj   +1 more source

Exact solution of the trigonometric SU(3) spin chain with generic off-diagonal boundary reflections

Nuclear Physics B, 2016
The nested off-diagonal Bethe ansatz is generalized to study the quantum spin chain associated with the SUq(3) R-matrix and generic integrable non-diagonal boundary conditions.
Guang-Liang Li, Junpeng Cao, Kun Hao, Fakai Wen, Wen-Li Yang, Kangjie Shi   +5 more
doaj   +1 more source

Scaling of general quadratic matrix equations

, 2016
A scaling framework for general quadratic algebraic matrix equations is presented. All algebraic quadratic equations can be considered as special cases of a single generalized algebraic quadratic matrix equation (GQME). Hence, the paper is focused on the

core   +1 more source

An algebraic approach to the scattering equations [PDF]

, 2015
We employ the so-called companion matrix method from computational algebraic geometry, tailored for zero-dimensional ideals, to study the scattering equations.
Junjie Rao, Yang-Hui He, Bo Feng, Feng, B., He, Y., Huang, R., Rijun Huang, Rao, J.   +7 more
core   +1 more source

Some identities deriving from the nth power of a special matrix

, 2012
In this paper, we consider the Horadam sequence and some summation formulas involving the terms of the Horadam sequence. We derive combinatorial identities by using the trace, the determinant and the nth power of a special ...
Halıcı, Serpil
core   +1 more source