Results 231 to 240 of about 6,085 (261)

Numerical range and functional calculus in Hilbert space

Journal of Functional Analysis, 2007
International audienceWe prove an inequality related to polynomial functions of a square matrix, involving the numerical range of the matrix. We also show extensions valid for bounded and also unbounded operators in Hilbert spaces, which allow the ...
Michel Crouzeix
exaly   +2 more sources

A functional calculus based on the numerical range: applications

Linear and Multilinear Algebra, 2008
International audienceWe develop a functional calculus for both bounded and unbounded operators in Hilbert spaces based on a simple inequality related to polynomial functions of a square matrix and involving the numerical range.
Michel Crouzeix
exaly   +2 more sources

On the use of functional calculus for phase-type and related distributions [PDF]

Stochastic Models, 2016
The area of phase-type distributions is renowned for its ability to obtain closed form formulas or algorithmically exact solutions to many complex stochastic models.
Mogens Bladt, Bo Friis Nielsen
exaly   +2 more sources

Spectrum as the Support of Functional Calculus [PDF]

North-Holland Mathematics Studies, 2004
We investigate the new definition of analytic functional calculus in the terms of representation theory of SL (2, ℝ). We avoid any usage of its algebraic homomorphism property and replace it by the demand to be an intertwining operator.
Vladimir V Kisil
exaly   +2 more sources

Some of the next articles are maybe not open access.

Related searches:

On the Wright hypergeometric matrix functions and their fractional calculus

Integral Transforms and Special Functions, 2018
In this paper we focus on the Wright hypergeometric matrix functions and incomplete Wright Gauss hypergeometric matrix functions by using Pochhammer matrix symbol.
Ahmed Bakhet, Yong Jiao, Fuli He
openaire   +1 more source

Functions of matrices. Matrix calculus

2017
This chapter contains the basic properties of functions of matrices as well as new topics from matrix calculus.
Vasile Pop, Ovidiu Furdui
openaire   +1 more source

Matrix calculus and related hypergeometric functions

Integral Transforms and Special Functions, 2019
Using only simple tools of a version of matrix calculus we describe a way how to generate series expansions of hypergeometric functions of one (or two) matrix argument(s) in a straightforward manne...
openaire   +1 more source

CONSTRUCTION OF MATHEMATICAL MODELS USING POLYNOMIAL FUNCTIONS AND MATRIX CALCULUS USING SYSTEMS OF FUZZY LINEAR EQUATIONS IN SOLVING ECONOMIC PROBLEMS

SOFT MEASUREMENTS AND COMPUTING, 2023
A large number of tasks in the economy are aimed at processing little formalized data. These can be tasks of analysis, planning, forecasting in the economy. The solution of these problems is reduced to the formalization of the data flow into a functional dependence.
Zulfira F. Sadykova, Vladimir A. Abaev
openaire   +1 more source

An Approach to Isotropic Tensor Functions and Their Derivatives Via Omega Matrix Calculus

Journal of Elasticity, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Integrals and derivatives for correlated Gaussian functions using matrix differential calculus

International Journal of Quantum Chemistry, 1996
The matrix differential calculus is applied for the first time to a quantum chemical problem via new matrix derivations of integral formulas and gradients for Hamiltonian matrix elements in a basis of correlated Gaussian functions. Requisite mathematical background material on Kronecker products, Hadamard products, the vec and vech operators, linear ...
openaire   +1 more source