Author: V.A. Barker
Publisher: Springer
ISBN: 9783540374305
Category: Mathematics
Page: 187
View: 817
which means that this matrix does not depend on the matrix Q (the matrix with orthonormal columns). ... The storage schemes used when sparse matrix techniques are applied with GE (which is a member of the general k-stage scheme) were ...
Author: Zahari Zlatev
Publisher: Springer Science & Business Media
ISBN: 9789401711166
Category: Computers
Page: 328
View: 331
'Et moi ... - si j'avait su comment en revenir, One service mathematics has rendered the je n 'y serais point aile.' human race. It has put common sense back where it belongs, on the topmost shelf next Jules Verne to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be sense'. able to do something with it. Eric T. Bell 0. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'elre of this series.It is interesting to note that our experiments indicated the above technique performs much less favorably on sparse matrices whose non - zeros have been generated in a random manner . Symbolic matrices of 5 % density and of orders 50 ...
Author: Stanford University. Department of Operations Research. Operations Research House
Publisher:
ISBN: STANFORD:36105046359902
Category:
Page: 44
View: 565
The authors empirically compared ten pivot selection rules for representing the inverse of a sparse basis in triangularized product form. On examples drawn from actual applications, one of the rules yield inverses that were only slightly less sparse than the original basis. The rule was used in the M5 mathematical programming system and has resulted in substantial reduction in running time.The book fills the gap between books on the design of computer algorithms and specialized literature on sparse matrix techniques, on the one side, and user needs and application oriented requirements on the other.
Author: Sergio Pissanetzky
Publisher: Academic Press
ISBN: 9781483270401
Category: Mathematics
Page: 336
View: 274
Sparse Matrix Technology presents the methods, concepts, ideas, and applications of sparse matrix technology. The text provides the fundamental methods, procedures, techniques, and applications of sparse matrix technology in software development. The book covers topics on storage schemes and computational techniques needed for sparse matrix technology; sparse matrix methods and algorithms for the direct solution of linear equations; and algorithms for different purposes connected with sparse matrix technology. Engineers, programmers, analysts, teachers, and students in the computer sciences will find the book interesting.Sparse. Matrix. Solution. Techniques. A sparse matrix is one that has “very few” non-zero elements. A sparse system is one in which its mathematical description gives rise to sparse matrices. Any large system that can be described by ...
Author: Mariesa L. Crow
Publisher: CRC Press
ISBN: 9781420086614
Category: Technology & Engineering
Page: 304
View: 424
Improve Compensation Strategies for Package ShortcomingsIn today's deregulated environment, the nation's electric power network is forced to operate in a manner for which it was not designed. As a result, precision system analysis is essential to predict and continually update network operating status, estimate current power flows and bus voltages,SPARSE MATRIX 1982 : SOFTWARE CATALOG In conjunction with the Sparse Matrix Symposium to be held at Fairfield Glade ... and differential equations ; and in application areas where the use of sparse matrix techniques is critical .
Author:
Publisher:
ISBN: UIUC:30112006241282
Category: Computer software
Page: 144
View: 394
This software catalog was prepared in conjunction with the Sparse Matrix Symposium in Fairfield Glade, Tennessee, October 25-27, 1982. It is intended to provide information on computer software for sparse matrix problems which should be useful to software developers and consumers alike. The information provided includes the problem domain to which the software is applicable, the method of solution, language and portability details, references to documentation, and a contact for further information or acquiring the software. This information is reported by means of a form which was filled out by each contributor for each item of software.Nowadays, the sparse matrix techniques are adopted to solve almost all large-scale power network problems. In this section, the sparse vector method, which can further improve the computation efficiency, will be introduced [3].
Author: Xi-Fan Wang
Publisher: Springer Science & Business Media
ISBN: 9780387728537
Category: Technology & Engineering
Page: 561
View: 222
The capability of effectively analyzing complex systems is fundamental to the operation, management and planning of power systems. This book offers broad coverage of essential power system concepts and features a complete and in-depth account of all the latest developments, including Power Flow Analysis in Market Environment; Power Flow Calculation of AC/DC Interconnected Systems and Power Flow Control and Calculation for Systems Having FACTS Devices and recent results in system stability.