Block orthogonal systems for symmetric P-forms

Block preconditioners for symmetric indefinite linear systems

This paper presents a systematic theoretical and numerical evaluation of three common block preconditioners in a Krylov subspace method for solving symmetric indefinite linear systems. The focus is on large-scale real world problems where block approximations are a practical necessity. The main illustration is the performance of the block diagonal, constrained, and lower triangular precondition...

Orthogonal Decomposition Defined by a Pair of Skew-Symmetric Forms

Proof. We use induction on n. For n = 1, the result is immediate, First, observe there exist linear transformations Ui (i = 1, 2): X + X such that (U,x, y) = &(x, y). For define&: X -R by Liz(y) = #Q(x, y). Then L,, is a linear functional and since X is an inner product space, there exists Z< E X with L,,(y) = (zi, y) by the canonical isomorphism between X and its dual. Define the transformatio...

Normal forms for spiking neural P systems

1 Department of Computer Science University of California Santa Barbara, CA 93106, USA [email protected], [email protected] 2 Department of Computer Science, Louisiana Tech University, Ruston PO Box 10348, Louisiana, LA-71272 USA [email protected] 3 Universidad Politécnica de Madrid UPM, Faculdad de Informática Campus de Montegancedo s/n, Boadilla del Monte, 28660 Madrid, Spain [email protected]...

Two Normal Forms for Rewriting P Systems

Symmetric Nearly Orthogonal and Orthogonal Nearly Symmetric Wavelets

In this paper we discuss the designs of 2-channel orthogonal near symmetric wavelets on the one hand, and the symmetric near orthogonal wavelets on the other. In both types of wavelets we use the Gröbner bases design approach and present examples of both cases. ةــصلاخلا ةهج نم نيتانـق تاذ ةلـثامتملا هبش ةدماعتملا ةريّـغصلا تاجوملا ميمصت ثحبلا اذه يف شـقانـنُ فوس تاجوملا يعون لاك يف لمعتسن فوسو ....