Results 241 to 250 of about 4,454,720 (286)

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 ...
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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
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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
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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.
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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
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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.
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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
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Matrix-convex functions

Cybernetics and Systems Analysis, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Riemann zeta matrix function

2015
In this study, obtaining the matrix analog of the Euler's reflection formula for the classical gamma function we expand the domain of the gamma matrix function and give a infinite product expansion of sin pi xP. Furthermore we define Riemann zeta matrix function and evaluate some other matrix integrals.
KARGIN, Levent, KURT, Veli
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Rational Matrix Functions

1990
This chapter contains a specification in detailed form of the results of Chapter 3 for rational matrix functions, and the solution of the next interpolation problem, namely to build a rational matrix function with a given null and pole structure. Unlike the scalar case, it turns out that even when the solution exists and the value at infinity is ...
Joseph A. Ball, Israel Gohberg, Leiba Rodman   +2 more
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