Results 21 to 30 of about 1,052,390 (266)
Inversion of a block Löwner matrix
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
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On fast multiplication of a matrix by its transpose [PDF]
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
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Miscellaneous equalities for idempotent matrices with applications
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
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A particular block Vandermonde matrix [PDF]
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
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MATRIX SUBADDITIVITY INEQUALITIES AND BLOCK-MATRICES [PDF]
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 ...
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Identities and exponential bounds for transfer matrices [PDF]
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
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Algorithms for simultaneous block triangularization and block diagonalization of sets of matrices
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
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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
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Preconditioning of two-by-two block matrix systems with square matrix blocks, with applications [PDF]
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 ...
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Many-Body Density Matrices for Free Fermions [PDF]
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.
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