The aim of this paper is to construct two functors, called the derived functors of anchored modules which allow linear connections. Some applications are given in the cases of vector bundles with differentials and Lie algebras. It is also shown that a linear connection and a skew-symmetric form on a preinfinitesimal module lift on the derived Lie pseudoalgebra to a null curvature connection and...

Zang, T.A., On the rotation and skew-symmetric forms for incompressible flow simulations, Applied Numerical Mathematics 7 (1991) 27-40. A variety of numerical simulations of transition and turbulence in incompressible flow are presented to compare the commonly used rotation form with the skew-symmetric (and other) forms of the nonlinear terms. The results indicate that the rotation form is much...

A new implicitly-restarted Krylov subspace method for real symmetric/skew-symme– tric generalized eigenvalue problems is presented. The new method improves and generalizes the SHIRA method of [37] to the case where the skew symmetric matrix is singular. It computes a few eigenvalues and eigenvectors of the matrix pencil close to a given target point. Several applications from control theory are...

Our purpose in this article is to investigate the order complex of inclusion poset PFn of Borel orbit closures in skew-symmetric matrices. We prove that PFn is an EL-shellable poset and furthermore its order complex triangulates a ball. We investigate (rook-theoretic) combinatorial properties of the rank-generating function of PFn in contrast with the zeta function of the variety of skew-symmet...