Results 21 to 30 of about 1,052,390 (266)

Inversion of a block Löwner matrix

open access: yesJournal of Computational and Applied Mathematics, 1996
AbstractIn this paper, we give a fast algorithm to compute the parameters of an inversion formula for any nonsingular block Löwner matrix. The connection with matrix rational interpolation is given.
M. Van Barel, Zdeněk Vavřín
openaire   +2 more sources

On fast multiplication of a matrix by its transpose [PDF]

open access: yes, 2020
We present a non-commutative algorithm for the multiplication of a 2x2-block-matrix by its transpose using 5 block products (3 recursive calls and 2 general products) over C or any finite field.We use geometric considerations on the space of bilinear ...
Dumas, Jean-Guillaume   +2 more
core   +3 more sources

Miscellaneous equalities for idempotent matrices with applications

open access: yesOpen Mathematics, 2020
This article brings together miscellaneous formulas and facts on matrix expressions that are composed by idempotent matrices in one place with cogent introduction and references for further study.
Tian Yongge
doaj   +1 more source

A particular block Vandermonde matrix [PDF]

open access: yesITM Web of Conferences, 2019
The Vandermonde matrix is ubiquitous in mathematics and engineering. Both the Vandermonde matrix and its inverse are often encountered in control theory, in the derivation of numerical formulas, and in systems theory.
Yaici Malika, Hariche Kamel
doaj   +1 more source

MATRIX SUBADDITIVITY INEQUALITIES AND BLOCK-MATRICES [PDF]

open access: yesInternational Journal of Mathematics, 2009
We give a number of subadditivity results and conjectures for symmetric norms, matrices and block-matrices. Let A, B, Z be matrices of same size and suppose that A, B are normal and Z is expansive, i.e. Z*Z ≥ I. We conjecture that [Formula: see text] for all non-negative concave function f on [0,∞) and all symmetric norms ‖ · ‖ (in particular for all ...
openaire   +3 more sources

Identities and exponential bounds for transfer matrices [PDF]

open access: yes, 2012
This paper is about analytic properties of single transfer matrices originating from general block-tridiagonal or banded matrices. Such matrices occur in various applications in physics and numerical analysis.
Molinari, Luca G
core   +2 more sources

Algorithms for simultaneous block triangularization and block diagonalization of sets of matrices

open access: yesAIMS Mathematics, 2023
In a recent paper, a new method was proposed to find the common invariant subspaces of a set of matrices. This paper investigates the more general problem of putting a set of matrices into block triangular or block-diagonal form simultaneously.
Ahmad Y. Al-Dweik   +3 more
doaj   +1 more source

Optimization Algorithm for Kalman Filter Exploiting the Numerical Characteristics of SINS/GPS Integrated Navigation Systems

open access: yesSensors, 2015
Aiming at addressing the problem of high computational cost of the traditional Kalman filter in SINS/GPS, a practical optimization algorithm with offline-derivation and parallel processing methods based on the numerical characteristics of the system is ...
Shaoxing Hu   +3 more
doaj   +1 more source

Preconditioning of two-by-two block matrix systems with square matrix blocks, with applications [PDF]

open access: yesApplications of Mathematics, 2017
Two-by-two block matrices of special form with square matrix blocks arise in important applications, such as in optimal control of partial differential equations and in high order time integration methods. Two solution methods involving very efficient preconditioned matrices, one based on a Schur complement reduction of the given system and one based ...
openaire   +2 more sources

Many-Body Density Matrices for Free Fermions [PDF]

open access: yes, 2003
Building upon an analytical technique introduced by Chung and Peschel [M. Chung and I. Peschel, Phys. Rev. B 64, art. 064412 (2001)], we calculated the density matrix rho_B of a finite block of B sites within an infinite system of free spinless fermions.
Cheong, Siew-Ann, Henley, Christopher L.
core   +1 more source

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