Polynomial Division & Observer/Controller Approach

Related lectures (30)

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

Explains the Euclidean algorithm for polynomials over a field K, illustrating its application with examples.

Explores ideals in K[X], including PGCD, uniqueness, coprimality, and theorems of Bézout and Gauss.

Explores polynomial roots, factorization, and the Euclidean algorithm in depth.

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

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

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

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

Explores the Euclidean algorithm, Bézout's identity, extended Euclid algorithm, and commutative groups in mathematics.

Covers the fundamentals of polynomials, endomorphisms, division, roots, matrices, and algebraic homomorphisms.