matrix functions
Certain generating matrix functions of Charlier matrix polynomials using Weisner’s group theoretic method
... Charlier matrix polynomials and its gen- eralized ...generating matrix functions, recurrence matrix relations, matrix differential equation, summation formulas and many new results have ...
13
Taylor's theorem for matrix functions with applications to condition number estimation
... In this section we show how our pseudospectral bounds on the condition number, (12) and (13), can be used to estimate the condition number of matrix functions in practice. We also find that they are cheaper ...
18
Centrality Measures Based on Matrix Functions
... Network is considered naturally as a wide range of different contexts, such as biological systems, social relationships as well as various technological scena- rios. Investigation of the dynamic phenomena taking place in ...
37
On the stability of network indices defined by means of matrix functions
... on matrix functions with respect to edge ...on functions of banded matrices [44, 42, 9, 8, 6], we propose a number of bounds showing that the magnitude of the variation of the centrality of node k or ...
20
Hermitean Téodorescu Transform Decomposition of Continuous Matrix Functions on Fractal Hypersurfaces
... H-monogenic functions in the interior and the exterior of Ω, ...H-monogenic functions then are the null solutions of a 2 × 2 matrix Dirac operator, having these Hermitean Dirac operators as its ...
15
A rich structure related to the construction of analytic matrix functions
... analytic matrix functions on D ...constructing functions in the space Hol( D , X ) of analytic maps from D to X , and thereby of obtaining solvability criteria for two cases of the μ-synthesis ...
51
ON THE HYPERBOLIC FIBONACCI MATRIX FUNCTIONS
... define matrix power of the golden ratio and give some of its ...Fibonacci functions in section ...hyperbolic matrix functions are given in section ...
12
Ranking hubs and authorities using matrix functions
... certain matrix functions, including the exponential and the resolvent, these quadrature rules can be used to obtain lower and upper bounds on the quantities of interest; prescribing additional quadrature ...
30
Matrix Functions of Exponential Order
... For many theoretical and practical applications one needs to extend the definitions of functions defined on the real axis to the set of matrices. The history of the subject goes back to the second half of the ...
9
Africans, Cherokees, and the ABCFM Missionaries in the Nineteenth Century: An Unusual Story of Redemption
... The matrix exponential is a very important subclass of functions of matrices that has been studied extensively in the last 50 ...common matrix functions and their general properties, and we ...
49
Super optimal approximation by meromorphic functions
... It should be mentioned that in the case of rational matrix functions G there is a well known parametrization of all optimal solutions of the matrix Nehari-Takagi problem in state space t[r] ...
15
On Humbert Matrix Polynomials of Two Variables
... special matrix functions appear in statistics, lie group theory and number theory [1-4] and the matrix polyno- mials have become more important and some results in the theory of classical orthogonal ...
5
11. On the Hypergeometric Matrix $k$-Functions
... these matrix arguments satisfy the matrix differential equation in terms of the new parameter k > 0 which is the improved version of generalization of classical hypergeometric matrix ...
14
Hermitean Cauchy Integral Decomposition of Continuous Functions on Hypersurfaces
... a matrix approach had to be followed in order to obtain the desired result, leading to the concept of left or right H-monogenic functions, introduced as circulant 2 × 2 matrix functions, which ...
16
Analytical finite element matrix elements and global matrix assembly for hierarchical 3-D vector basis functions within the hybrid finite element boundary integral method
... and numerical method verifies the efficacy of FE-BI. As a more complicated testing case, a second sphere is displayed. With higher frequency and finer mesh, more unknowns are handled. Moreover, an example of FE-BI ...
11
Degree of Approximation of Functions in Lipschitz Class with Muckenhoupt Weights by Matrix Means
... periodic functions in generalized H¨older metric space through matrix means of Fourier series, where matrix T ≡ (a n,k ) has almost monotone ...
5
COVARIANCE MATRIX OF MULTIVARIATE REWARD PROCESSES WITH NONLINEAR REWARD FUNCTIONS
... where g in , i = 1 , L , m i are given functions, m i p ∞ an explicit formula for the mean vector E Z ( ) t , t ≥ 0 is given in [10]. Khorshidian and Soltani have treated the asymptotic behavior of mean, variance ...
11
Dual Szegö pairs of sequences of rational matrix valued functions
... Borel measure F on T , meets some specific recurrence relations. An essential characteris- tic of these recurrence relations is marked by an intensive interplay between the elements of the left and the right orthonormal ...
37
Generalized Laplace transform with matrix variables
... Integral transforms, Laplace transform, Hankel transform of Herz, functions of matrix argument.. 29B0 AMS SUBJECT CASSIFICATION CODES.[r] ...
9
A Stone Weierstrass theorem for group representations
... be a faithful unitary representation whose matrix coefficient functions vanish at infinity and satisfy an.. isomorphism, the regular.[r] ...
10