Results 291 to 300 of about 4,444,439 (338)

Matrix Functions

2008
Teoria ed applicazione di funzioni di matrici nell'ambito della Model Order Reduction.
Frommer A, Simoncini V
  +7 more sources

Matrix Christoffel Functions

Constructive Approximation, 2004
This paper extends to a matrix setting many classical results from the scalar theory of orthogonal polynomials and Christoffel functions. Namely, the authors consider an \(N\times N\) matrix weight \(W\) (that is, a positive definite matrix of measures supported on \(\mathbb R\)), for which they define the sequence of matrix-valued orthonormal ...
Durán, Antonio J., Polo, Beatriz
openaire   +2 more sources

Semismooth Matrix-Valued Functions

Mathematics of Operations Research, 2002
Matrix-valued functions play an important role in the development of algorithms for semidefinite programming problems. This paper studies generalized differential properties of such functions related to nonsmooth-smoothing Newton methods. The first part of this paper discusses basic properties such as the generalized derivative, Rademacher's theorem ...
Sun, D., Sun, J.
openaire   +1 more source

Matrix Structures and Matrix Functions

Proceedings of the 2023 International Symposium on Symbolic and Algebraic Computation, 2023
Structured matrices play a relevant role in symbolic and numerical computations. In the literature and in applications we encounter several types of structure, which are typically related to the properties of the problems they stem from: banded structure is often associated with locality of functions or operators, Toeplitz structure arises from shift ...
openaire   +2 more sources

Positivity Preserving Hadamard Matrix Functions

Positivity, 2007
The authors prove that for every positive real number \(p\) that lies between even integers \(2(m-2)\) and \(2(m-1)\), there exists a matrix \(A=(a_{ij})\) of order \(2m\) such that \(A\) is positive definite, but the matrix with entries \(| a_{ij}| ^p\) is not.
Bhatia, Rajendra, Elsner, Ludwig
openaire   +2 more sources

On certain properties and expansions of zeta matrix function, digamma matrix function and polygamma matrix function

Quaestiones Mathematicae, 2019
We introduce the generalized zeta matrix function, digamma matrix function and polygamma matrix function. We obtain the regions of convergence of these matrix functions, some recurrence relations and their integral representations. An identity involving hypergeometric matrix function 3F2 in the form of digamma matrix function is also given.Mathematics ...
Ravi Dwivedi, Vivek Sahai
openaire   +2 more sources

Matrix functions

1990
Abstract So far in this book we have mainly been concerned with algebraic manipulations of matrices, and have encountered limiting processes only in relation to iterative methods in Section 6.7. We now give an introduction to what can be called ‘matrix analysis’, where the idea of convergence plays a fundamental role.
openaire   +1 more source

Matrix Functions and Matrix Equations

2015
Matrix functions and matrix equations are widely used in science, engineering and social sciences due to the succinct and insightful way in which they allow problems to be formulated and solutions to be expressed.
Zhaojun Bai, Weiguo Gao, Yangfeng Su
openaire   +1 more source

Deflated Restarting for Matrix Functions

SIAM Journal on Matrix Analysis and Applications, 2011
We investigate an acceleration technique for restarted Krylov subspace methods for computing the action of a function of a large sparse matrix on a vector. Its effect is to ultimately deflate a specific invariant subspace of the matrix which most impedes the convergence of the restarted approximation process.
Eiermann, M., Ernst, O. G., Güttel, S.
openaire   +2 more sources

Rational Matrix Functions

1995
Abstract In this chapter we study r x n matrices W(A.) whose elements are rational functions of a complex variable λ.
Peter Lancaster, Leiba Rodman
openaire   +1 more source