Effectiveness of Sparse Data Structure for Double-Double and Quad-Double Arithmetics

Author(s):  
Tsubasa Saito ◽  
Satoko Kikkawa ◽  
Emiko Ishiwata ◽  
Hidehiko Hasegawa
Keyword(s):  
2006 ◽  
Vol 14 (7) ◽  
pp. 1189-1195 ◽  
Author(s):  
J Gruber ◽  
N Ma ◽  
Y Wang ◽  
A D Rollett ◽  
G S Rohrer

MACRo 2015 ◽  
2015 ◽  
Vol 1 (1) ◽  
pp. 283-292
Author(s):  
Péter Böröcz ◽  
Péter Tar ◽  
István Maros

AbstractSparse linear algebraic data structures are widely used during the solution of large scale linear optimization problems. The efficiency of the solver is significantly influenced by the used data structures. The implementations of such data structures are not trivial. A performance analysis of the available data structures can provide valuable information to improve efficiency. In the talk we present our software that supports this task as well as our new, special vector representation. We also report results covering the solution for numerical issues affecting the performance of sparse linear algebraic operations.


This article describes the proposed approaches to creating distributed models that can, with given accuracy under given restrictions, replace classical physical models for construction objects. The ability to implement the proposed approaches is a consequence of the cyber-physical integration of building systems. The principles of forming the data structure of designed objects and distributed models, which make it possible to uniquely identify the elements and increase the level of detail of such a model, are presented. The data structure diagram of distributed modeling includes, among other things, the level of formation and transmission of signals about physical processes inside cyber-physical building systems. An enlarged algorithm for creating the structure of the distributed model which describes the process of developing a data structure, formalizing requirements for the parameters of a design object and its operating modes (including normal operating conditions and extreme conditions, including natural disasters) and selecting objects for a complete group that provides distributed modeling is presented. The article formulates the main approaches to the implementation of an important practical application of the cyber-physical integration of building systems - the possibility of forming distributed physical models of designed construction objects and the directions of further research are outlined.


2019 ◽  
Author(s):  
Javier E. Baez ◽  
Varun Kshirsagar ◽  
Emmanuel Skoufias
Keyword(s):  

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