𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Further analysis of the iterative hypervirial-scaling method

✍ Scribed by Francisco M. Fernández; Eduardo A. Castro


Publisher
John Wiley and Sons
Year
1980
Tongue
English
Weight
429 KB
Volume
17
Category
Article
ISSN
0020-7608

No coin nor oath required. For personal study only.

✦ Synopsis


Abstract

A previously given iterative procedure to improve wave functions is analyzed. Its relationship with other well‐known approximation methods is investigated. Hypervirial operators depending on a real parameter are proposed and their connection with the employment of an infinite number of hypervirial relations is analyzed. A way to use formulas that are valid for exact eigenfunctions in the case of approximate functions is presented. Formal results are applied to the harmonic oscillator and hydrogen atom models in order to show their practical utilization.


📜 SIMILAR VOLUMES


Iterative hypervirial-scaling method for
✍ Eduardo A. Castro 📂 Article 📅 1978 🏛 John Wiley and Sons 🌐 English ⚖ 373 KB

## Abstract A procedure to improve trial wave functions is given in terms of the off‐diagonal hypervirial theorem. This procedure is closely related to the optimum scaling method which is valid for the diagonal hypervirial theorem. The second excited state of the one‐dimensional oscillator model is

Hypervirial analysis of enclosed quantum
✍ Francisco M. Ferńndez; Eduardo A. Castro 📂 Article 📅 1982 🏛 John Wiley and Sons 🌐 English ⚖ 399 KB

## Abstract New formal results regarding the hypervirial analysis of enclosed systems are given. Novel applications are presented and several previous equations are reformulated in a more appropriate form.

Further analysis of minimum residual ite
✍ Yousef Saad 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 143 KB

The convergence behaviour of a number of algorithms based on minimizing residual norms over Krylov subspaces is not well understood. Residual or error bounds currently available are either too loose or depend on unknown constants that can be very large. In this paper we take another look at traditio

Scale-Space Properties of Nonstationary
✍ Esther Radmoser; Otmar Scherzer; Joachim Weicker 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 324 KB

Most scale-space concepts have been expressed as parabolic or hyperbolic partial differential equations (PDEs). In this paper we extend our work on scale-space properties of elliptic PDEs arising from regularization methods: we study linear and nonlinear regularization methods that are applied itera

Analysis of DGS structures by using the
✍ M. Yeddes; M. Kaddour; A. Gharsallah; A. Gharbi 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 312 KB 👁 1 views

## Abstract An iterative method based on the wave concept is used to analyse a defect ground structure (DGS). In this case two applications are given. Firstly, we studied a __λ__/4 bias transmission line maintaining high impedance that is added dumbbell‐shaped DGS on ground plane of the conventiona

Applying iterative methods to the analys
✍ Paolo Maffezzoni 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 77 KB 👁 1 views

## Abstract This letter proposes a method to properly formulate the analysis of VLSI circuits through a set of well‐conditioned equations. This system of equations can then be efficiently solved by means of an iterative solution method. Copyright 2004 © John Wiley & Sons, Ltd.