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» The Calculus of Algebraic Constructions
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COMPUTING
2007
103views more  COMPUTING 2007»
15 years 6 months ago
An algebraic approach for H-matrix preconditioners
Hierarchical matrices (H-matrices) approximate matrices in a data-sparse way, and the approximate arithmetic for H-matrices is almost optimal. In this paper we present an algebrai...
S. Oliveira, F. Yang
FAC
2010
259views more  FAC 2010»
15 years 4 months ago
An algebraic approach to the design of compilers for object-oriented languages
Here we describe an algebraic approach to constructing a provably correct compiler for an object-oriented language called ROOL. We tackle the problem of compiler correctness by red...
Adolfo Duran, Ana Cavalcanti, Augusto Sampaio
ACS
2011
15 years 23 days ago
Algebras of Higher Operads as Enriched Categories
Abstract. One of the open problems in higher category theory is the systematic construction of the higher dimensional analogues of the Gray tensor product. In this paper we begin t...
Michael Batanin, Mark Weber
JSA
2000
116views more  JSA 2000»
15 years 6 months ago
A fault tolerant routing algorithm based on cube algebra for hypercube systems
We propose an approach to determine the shortest path between the source and the destination nodes in a faulty or a nonfaulty hypercube. The number of faulty nodes and links may b...
Novruz M. Allahverdi, Sirzad S. Kahramanli, Kayhan...
FFA
2011
90views more  FFA 2011»
15 years 1 months ago
Finite group algebras of nilpotent groups: A complete set of orthogonal primitive idempotents
We provide an explicit construction for a complete set of orthogonal primitive idempotents of finite group algebras over nilpotent groups. Furthermore, we give a complete set of ...
Inneke Van Gelder, Gabriela Olteanu