biconjugate decomposition using abs algorithms

Biconjugate Decomposition Using ABS Algorithms

biconjugate decomposition using abs algorithms

Abs Algorithms for Linear Equations and Abspack

We present the main results obtained during a research on ABS methods in the framework of the project Analisi Numerica e Matematica Computazionale. 1. – The ABS algorithms. ABS algorithms were introduced by Abaffy, Broyden and Spedicato (1984), to solve linear equations first in the form of the basic ABS class, later generalized as the scaled ABS class and applied to linear least squares, nonli...

Exact and approximate solutions of fuzzy LR linear systems: New algorithms using a least squares model and the ABS approach

We present a methodology for characterization and an approach for computing the solutions of fuzzy linear systems with LR fuzzy variables. As solutions, notions of exact and approximate solutions are considered. We transform the fuzzy linear system into a corresponding linear crisp system and a constrained least squares problem. If the corresponding crisp system is incompatible, then the fuzzy ...

Exploiting Model Variability in ABS to Verify Distributed Algorithms

We show a way to evaluate functional properties of distributed algorithms by the example of the AODV algorithm in sensor networks, Creol and ABS models, and component testing. We present a new method to structure the evaluation work into the categories of techniques, perspectives, arrangements, and properties using executable models. We demonstrate how to use this structure for network simulati...

Adaptation of hybrid five-phase ABS algorithms for experimental validation

Anti-lock Braking System (ABS) is the most important active safety system for passenger cars, but unfortunately the literature is not really precise about its description, stability and performance. This research improves a five-phase hybrid algorithm based on wheel deceleration and validate it on a tyre-in-the-loop laboratory facility. Five relevant effects are modelled so that the simulation ...