Results 1  10
of
200
Almost skewsymmetric matrices
 Rocky Mountain Journal of Mathematics
"... ABSTRACT. Almost skewsymmetric matrices are real matrices whose symmetric parts have rank one. Using the notion of the numerical range, we obtain eigenvalue inequalities and a localization of the spectrum of an almost skewsymmetric matrix. We show that almost skewsymmetry is invariant under princ ..."
Abstract

Cited by 9 (6 self)
 Add to MetaCart
ABSTRACT. Almost skewsymmetric matrices are real matrices whose symmetric parts have rank one. Using the notion of the numerical range, we obtain eigenvalue inequalities and a localization of the spectrum of an almost skewsymmetric matrix. We show that almost skewsymmetry is invariant under
OF SKEWSYMMETRIC MATRICES ∗
"... Abstract. Every real skewsymmetric matrix B admits Choleskylike factorizations B = R T JR, where ..."
Abstract
 Add to MetaCart
Abstract. Every real skewsymmetric matrix B admits Choleskylike factorizations B = R T JR, where
On skewsymmetric differentiation matrices
, 2013
"... The theme of this paper is the construction of finitedifference approximations to the first derivative in the presence of Dirichlet boundary conditions. Stable implementation of splittingbased discretisation methods for the convectiondiffusion equation requires the underlying matrix to be skew sym ..."
Abstract

Cited by 1 (1 self)
 Add to MetaCart
The theme of this paper is the construction of finitedifference approximations to the first derivative in the presence of Dirichlet boundary conditions. Stable implementation of splittingbased discretisation methods for the convectiondiffusion equation requires the underlying matrix to be skew
Shifted SkewSymmetric Systems
"... We describe the MRS 3 solver, a Minimal Residual method based on the Lanczos algorithm that solves problems from the important class of linear systems with a shifted skewsymmetric coefficient matrix using short vector recurrences. The MRS 3 solver is theoretically compared with other Krylov solvers ..."
Abstract
 Add to MetaCart
We describe the MRS 3 solver, a Minimal Residual method based on the Lanczos algorithm that solves problems from the important class of linear systems with a shifted skewsymmetric coefficient matrix using short vector recurrences. The MRS 3 solver is theoretically compared with other Krylov
Commutators of SkewSymmetric Matrices
, 2004
"... In this paper we develop a theory for analysing the size of a Lie bracket or commutator in a matrix Lie algebra. Complete details are given for the Lie algebra so(n) of skew symmetric matrices. 1 Norms and commutators in M n [R] and so(n) This paper is concerned with the following question. Let g b ..."
Abstract

Cited by 2 (0 self)
 Add to MetaCart
In this paper we develop a theory for analysing the size of a Lie bracket or commutator in a matrix Lie algebra. Complete details are given for the Lie algebra so(n) of skew symmetric matrices. 1 Norms and commutators in M n [R] and so(n) This paper is concerned with the following question. Let g
SkewSymmetric Matrix Polynomials and their Smith Forms
, 2012
"... We characterize the Smith form of skewsymmetric matrix polynomials over an arbitrary field F, showing that all elementary divisors occur with even multiplicity. Restricting the class of equivalence transformations to unimodular congruences, a Smithlike skewsymmetric canonical form for skewsymm ..."
Abstract

Cited by 8 (2 self)
 Add to MetaCart
We characterize the Smith form of skewsymmetric matrix polynomials over an arbitrary field F, showing that all elementary divisors occur with even multiplicity. Restricting the class of equivalence transformations to unimodular congruences, a Smithlike skewsymmetric canonical form for skewsymmetric
Orbit closure hierarchies of skewsymmetric matrix pencils
, 2014
"... Abstract. We study how small perturbations of a skewsymmetric matrix pencil may change its canonical form under congruence. This problem is also known as the stratification problem of skewsymmetric matrix pencil orbits and bundles. In other words, we investigate when the closure of the congruence ..."
Abstract

Cited by 1 (1 self)
 Add to MetaCart
Abstract. We study how small perturbations of a skewsymmetric matrix pencil may change its canonical form under congruence. This problem is also known as the stratification problem of skewsymmetric matrix pencil orbits and bundles. In other words, we investigate when the closure of the congruence
SkewSymmetric Matrix Pencils: Stratification Theory and Tools
, 2014
"... Investigating the properties, explaining, and predicting the behaviour of a physical system described by a system (matrix) pencil often require the understanding of how canonical structure information of the system pencil may change, e.g., how eigenvalues coalesce or split apart, due to perturbation ..."
Abstract
 Add to MetaCart
to perturbations in the matrix pencil elements. Often these system pencils have different blockpartitioning and / or symmetries. We study changes of the congruence canonical form of a complex skewsymmetric matrix pencil under small perturbations. The problem of computing the congruence canonical form is known
The convention for the entries of the skewsymmetric matrix Ω ̂ is such that
, 2010
"... which appear in the Euler equations when viewed from a body fixed 3D moving frame, are presented. A moving frame has been widely used in the study of sloshing [4, 3]. However, there are small subtleties that have been overlooked in the derivation, and therefore a detailed derivation is presented he ..."
Abstract
 Add to MetaCart
which appear in the Euler equations when viewed from a body fixed 3D moving frame, are presented. A moving frame has been widely used in the study of sloshing [4, 3]. However, there are small subtleties that have been overlooked in the derivation, and therefore a detailed derivation is presented here. Let X = (X, Y, Z) be the spatial frame. This frame is fixed in space. Let x = (x, y, z) be the body frame. It is attached to the moving vessel. For Newton’s law the acceleration in the spatial frame is required, but the analysis of the fluid motion is carried out in the body frame. The relationship between the two accelerations is developed using the kinetic theory of rigid bodies [6, 5]. X Y
Results 1  10
of
200