In this paper, we determine the total Stiefel-Whitney classes of vector bundles over the product of the complex projective space CP (j) with the quaternionic projective space HP (k). Moreover, we show that every involution fixing CP (2m+1)×HP (k) bounds. AMS subject classifications: 57R85, 57S17, 55N22

In this paper, we present a retraction-based Riemannian BFGS approach (RBFGS). Of particular interest is the choice of transport used to move information between tangent spaces and the different ways of implementing the RBFGS algorithm. We consider parallel translation along a geodesic and vector transport by projection on the unit sphere and the compact Stiefel manifold.

In the present paper we investigate iterative minor subspace analysis computation by describing a neural approach based on weight flow on Stiefel manifold and by discussing four neural algorithms and a purely algebraic algorithm known from the scientific literature. A comparison of numerical experimental results and computational complexity estimates confirms the effectiveness and efficiency of...