 Lecture 6: Resultants and Discriminants

Lecture note in Algebraic Techniques and Semidefinite Optimization, MIT 6.972, Spring 2006. The printed heading is Lecture 6; Resultants and Discriminants is a descriptive subject title. The heading credits Pablo A. Parrilo as lecturer and leaves the scribe unidentified. No individual authorship or editing credit is inferred. The Massachusetts Institute of Technology issues the course material; MIT OpenCourseWare hosts this copy.

Lecture PDF: ocw.mit.edu/courses/6-972-algebraic-techniques-and-semidefinite-optimization-spring-2006/46bf636ecc6195991e396703bfe1a1ae_lecture_06.pdf

Cited passages: printed pp. 6–1 to 6–2, §1 Resultants, Sylvester matrix and equation (1); printed p. 6–2, §2 Discriminants, Definition 2; printed p. 6–3, §3.1 Polynomial equations, elimination and backsubstitution. The printed date is the lecture date; no separate online publication or revision date is established.