Frobenius companion matrix

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf gptkb:group_of_people
gptkb:mathematical_concept
gptkbp:application solving linear differential equations
system realization in control theory
gptkbp:component entries from a field
gptkbp:dimensions n x n
gptkbp:field linear algebra
matrix theory
https://www.w3.org/2000/01/rdf-schema#label Frobenius companion matrix
gptkbp:namedAfter gptkb:Ferdinand_Georg_Frobenius
gptkbp:property square matrix
last row contains negative coefficients of the monic polynomial
has 1s on the first subdiagonal
has minimal polynomial equal to given monic polynomial
has characteristic polynomial equal to given monic polynomial
gptkbp:relatedTo gptkb:Jordan_normal_form
companion matrix
rational canonical form
gptkbp:usedFor control theory
representing monic polynomials
studying eigenvalues
gptkbp:bfsParent gptkb:Ferdinand_Georg_Frobenius
gptkbp:bfsLayer 5