Transcription of 11 Multivariate Polynomials
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11 Multivariate Polynomials
CS 487: Intro. to Symbolic Computation Winter 2009: M. Giesbrecht Script 11 Page 1. (These lecture notes were prepared and presented by Dan Roche.). 11 multivariate polynomials References: MCA: Section and Chapter 21. Algorithms for Computer Algebra (Geddes, Czapor, Labahn): Section and Chapter 10. Ideals, Varieties, and Algorithms (Cox, Little, O'Shea): Chapters 1 & 2. Solving a linear system is the same as finding a solution to a system of degree-1 Multivariate polynomial equations . That is, given an n n matrix A and a n 1 vector b, solving Ax = b for x is the same as finding a set of values for the variables x1 , x2.
Solving a linear system is the same as nding a solution to a system of degree-1 multivariate polynomial equations. That is, given an n n matrix A and a n 1 vector b, solving Ax = b for x ... If we set the dimensions high enough to make room for the result, converting from multivariate
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