Let H be a complex Hilbert space. We study the geometry of the space of pairs (A,E), for A a (semidefinite bounded linear) positive operator on H and E a (bounded linear) projection on H such that AE = E∗A. Departamento de Matemática, Facultad de Ingenieŕıa,UBA, Buenos Aires(C1063ACV), Argentina; Instituto Argentino de Matemática CONICET, Saavedra 15, Buenos Aires (1083), Argentina. E-mail addr...

Mixed precision hardware has recently become commercially available, and more than 25% of the supercomputers in TOP500 list now have mixed capabilities. Using lower algorithms can be beneficial terms reducing both computation communication costs. There are many current efforts towards developing numerical linear algebra algorithms, which lead to speedups real applications. Motivated by this, we...

For nonselfadjoint elliptic boundary value problem which are preconditioned by a sub-structuring method, i.e., nonoverlapping domain decomposition, we introduce and study the concept of subspace orthogonalization. In subspace orthogonalization variants of Krylov methods the computation of inner products and vector updates, and the storage of basis elements is restricted to a (presumably small) ...

This report presents a faster version of the polynomial recursive orthogonalization (PRO) algorithm, which is used in segmented image coding to generate orthonormal base functions on a non-rectangular discrete image. It shows that up to 25% of the oating point operations can be eliminated by using previously computed results; also, some orthogonalizations can be avoided altogether, because they...

Empirical mode decomposition (EMD) and Empirical wavelet transform (EWT) are recently developed adaptive signal processing tools. These techniques decompose a signal accordingly to its contained information. The main issue with EMD is its lack of theory and in case of EWT a prior knowledge of the signal is required. IMF’s obtained as a result of applying EMD are quasi-orthogonal .This paper sug...

A monocular visual servoing scheme for constrained robots is considered in this chapter. Inspired by the Orthogonalization Principle (OP) introduced by Suguru Arimoto in the context of robot force control, a Visual Orthogonalization Principle (VOP) is proposed and a novel control scheme for adaptive image-based visual servoing is presented. The scheme guarantees a global exponential convergence...

We introduce a computationally efficient FFT-based algorithm for the design of OFDM/ OQAM pulse shaping filters of arbitrary length and with arbitrary overlapping factors. The basic idea of our approach is to start from an arbitrary initial (nonorthogonal) filter and to perform an orthogonalization which yields an ISIand ICI-free pulse shaping filter. The orthogonalization is performed in the d...