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Normal Forms and Algebraic Representations

In: Algorithms for Computer Algebra

Author

Listed:
  • K. O. Geddes

    (University of Waterloo)

  • S. R. Czapor

    (Laurentian University)

  • G. Labahn

    (University of Waterloo)

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.

Suggested Citation

  • K. O. Geddes & S. R. Czapor & G. Labahn, 1992. "Normal Forms and Algebraic Representations," Springer Books, in: Algorithms for Computer Algebra, chapter 0, pages 79-109, Springer.
    • Handle: RePEc:spr:sprchp:978-0-585-33247-5_3
    DOI: 10.1007/978-0-585-33247-5_3
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