Normal Forms and Algebraic Representations

K. O. Geddes, S. R. Czapor and G. Labahn
Additional contact information
K. O. Geddes: University of Waterloo
S. R. Czapor: Laurentian University
G. Labahn: University of Waterloo

Chapter Chapter 3 in Algorithms for Computer Algebra, 1992, pp 79-109 from Springer

Abstract: Abstract This chapter is concerned with the computer representation of the algebraic objects discussed in Chapter 2. The zero equivalence problem is introduced and the important concepts of normal form and canonical form are defined. Various normal forms are presented for polynomials, rational functions, and power series. Finally data structures are considered for the representation of multiprecision integers, rational numbers, polynomials, rational functions, and power series.

Keywords: Normal Form; Power Series; Canonical Function; Form Level; Multivariate Polynomial (search for similar items in EconPapers)
Date: 1992
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DOI: 10.1007/978-0-585-33247-5_3

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