Modular Analysis of Sequential Solution Methods for Almost Block Diagonal Systems of Equations | Zendy

Tarek M. A. El-Mistikawy | Zendy

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Modular Analysis of Sequential Solution Methods for Almost Block Diagonal Systems of Equations

Author(s) -

Tarek M. A. El-Mistikawy

Publication year - 2013

Publication title -

advances in numerical analysis

Language(s) - English

Resource type - Journals

eISSN - 1687-9570

pISSN - 1687-9562

DOI - 10.1155/2013/563872

Subject(s) - block (permutation group theory) , construct (python library) , diagonal , modular design , basis (linear algebra) , computer science , mathematics , algorithm , algebra over a field , mathematical optimization , pure mathematics , programming language , combinatorics , geometry

Almost block diagonal linear systems of equations can be exemplified by two modules. This makes it possible to construct all sequential forms of band and/or block elimination methods. It also allows easy assessment of the methods on the basis of their operation counts, storage needs, and admissibility of partial pivoting. The outcome of the analysis and implementation is to discover new methods that outperform a well-known method, a modification of which is, therefore, advocated

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