Hermitian, hermitian R-symmetric, and hermitian R-skew symmetric Procrustes problems

Convergence Properties of Hermitian and Skew Hermitian Splitting Methods

In this paper we consider the solutions of linear systems of saddle point problems‎. ‎By using the spectrum of a quadratic matrix polynomial‎, ‎we study the eigenvalues of the iterative matrix of the Hermitian and skew Hermitian splitting method‎.

Hermitian Symmetric Domains

Then the V pq are obviously disjoint, and V pq = V . Further, the complex characters of S are exactly the z 7→ z−pz−qv, and any representation of S on a complex vector space has to break up into such characters, so V has to be the direct sum of the V . Conversely, if the V pq are given, then it is easy to define h : S → GL(V ) in terms of the above formula. We remark that V is homogeneous of we...

Homogeneous holomorphic hermitian principal bundles over hermitian symmetric spaces

We give a complete characterization of invariant integrable complex structures on principal bundles defined over hermitian symmetric spaces, using the Jordan algebraic approach for the curvature computations. In view of possible generalizations, the general setup of invariant holomorphic principal fibre bundles is described in a systematic way.

On Modified Hermitian and Skew - Hermitian Splitting

Minimal Residual Methods for Complex Symmetric, Skew Symmetric, and Skew Hermitian Systems

While there is no lack of efficient Krylov subspace solvers for Hermitian systems, few exist for complex symmetric, skew symmetric, or skew Hermitian systems, which are increasingly important in modern applications including quantum dynamics, electromagnetics, and power systems. For a large, consistent, complex symmetric system, one may apply a non-Hermitian Krylov subspace method disregarding ...