A Setting for Generalized Orthogonalization
نویسندگان
چکیده
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 address: [email protected] E-mail address: [email protected] Date: Received: 1 July 2013; Accepted: 18 September 2013. ∗ Corresponding author. 2010 Mathematics Subject Classification. Primary 46C50; Secondary 46C05, 47A62.
منابع مشابه
Accurate solution of the Helmholtz equation by Lanczos orthogonalization for media with loss or gain.
The numerical scheme for solving the Helmholtz equation, based on the Lanczos orthogonalization scheme, is generalized so that it can be applied to media with space-dependent absorption or gain profiles.
متن کاملOrthogonalization-based Iterative Solvers for Generalized Stokes Problems
Two methods for solving the generalized Stokes problems that occur in viscous, incompressible ows are described and tested. Both are based on some type of linear algebraic orthogonaliza-tion process. The rst, EMGS, is a preconditioner derived from an incomplete Gram{Schmidt factorization, and it is proven to exist whenever the matrix being preconditioned can be factored using Gaussian eliminati...
متن کاملFixed point theorems for generalized quasi-contractions in cone $b$-metric spaces over Banach algebras without the assumption of normality with applications
In this paper, we introduce the concept of generalized quasi-contractions in the setting of cone $b$-metric spaces over Banach algebras. By omitting the assumption of normality we establish common fixed point theorems for the generalized quasi-contractions with the spectral radius $r(lambda)$ of the quasi-contractive constant vector $lambda$ satisfying $r(lambda)in [0,frac{1}{s})$ in the set...
متن کاملOn Orthogonalization Approach to Construct a Multiple Input Transfer Function Model
In this article, a special type of orthogonalization is obtained to construct a multiple input transfer function model. By using this technique, construction of a transfer function model is divided to sequential construction of transfer function models with less input time series. Furthermore, based on real and simulated time series we provide an instruction to adequately perform the stages of ...
متن کاملA Flexible Generalized Conjugate Residual Method with Inner Orthogonalization and Deflated Restarting
This work is concerned with the development and study of a minimum residual norm subspace method based on the generalized conjugate residual method with inner orthogonalization (GCRO) method that allows flexible preconditioning and deflated restarting for the solution of nonsymmetric or non-Hermitian linear systems. First we recall the main features of flexible generalized minimum residual with...
متن کامل