Polynomial Root Finding

Related lectures (32)

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Covers the factorization of polynomials over a field, including division with remainder and common divisors.

Covers polynomial factorization, irreducible polynomials, ideal decomposition, and the theorem of Bézout.

Explores division polynomials, theorems, spectral values, and minimal polynomials in endomorphisms and vector spaces.

Covers the calculation of the greatest common divisor using polynomial methods and the Euclidean algorithm.

Explores the uniqueness of minimal polynomials and the division algorithm for polynomials.

Explores algebraic geometry, focusing on rings, bodies, quotient rings, and irreducible polynomials.

Introduces polynomial factorization over finite fields and efficient computation of greatest common divisors of polynomials.

Explains irreducibility in polynomial equations and the properties of primitive polynomials.

Explores polynomial factorization over a field, emphasizing eigenvalues and irreducible components.

Covers the normalization process of plane algebraic curves, focusing on irreducible polynomials and affine curves.