Hurwitz determinant, the Glossary
In mathematics, Hurwitz determinants were introduced by, who used them to give a criterion for all roots of a polynomial to have negative real part.[1]
Table of Contents
4 relations: Characteristic polynomial, Hurwitz matrix, The American Mathematical Monthly, Transfer matrix.
- Determinants
Characteristic polynomial
In linear algebra, the characteristic polynomial of a square matrix is a polynomial which is invariant under matrix similarity and has the eigenvalues as roots. Hurwitz determinant and characteristic polynomial are linear algebra.
See Hurwitz determinant and Characteristic polynomial
Hurwitz matrix
In mathematics, a Hurwitz matrix, or Routh–Hurwitz matrix, in engineering stability matrix, is a structured real square matrix constructed with coefficients of a real polynomial.
See Hurwitz determinant and Hurwitz matrix
The American Mathematical Monthly
The American Mathematical Monthly is a mathematical journal founded by Benjamin Finkel in 1894.
See Hurwitz determinant and The American Mathematical Monthly
Transfer matrix
In applied mathematics, the transfer matrix is a formulation in terms of a block-Toeplitz matrix of the two-scale equation, which characterizes refinable functions.
See Hurwitz determinant and Transfer matrix
See also
Determinants
- Alternant matrix
- Antisymmetrizer
- Bareiss algorithm
- Berezinian
- Capelli's identity
- Cauchy matrix
- Cauchy–Binet formula
- Cayley–Menger determinant
- Circulant matrix
- Cramer's rule
- Cross Gramian
- Determinant
- Determinantal conjecture
- Dieudonné determinant
- Discriminant
- Distance geometry
- Dodgson condensation
- Faddeev–LeVerrier algorithm
- Fischer's inequality
- Fredholm determinant
- Frobenius determinant theorem
- Functional determinant
- Gram matrix
- Grothendieck trace theorem
- Hadamard's inequality
- Hilbert matrix
- Hurwitz determinant
- Invertible matrix
- Jacobi's formula
- Jacobian matrix and determinant
- Laplace expansion
- Leibniz formula for determinants
- Maillet's determinant
- Minor (linear algebra)
- Moore matrix
- Persymmetric matrix
- Pfaffian
- Quasideterminant
- Resultant
- Rule of Sarrus
- Slater determinant
- Sylvester's determinant identity
- Totally positive matrix
- Vandermonde matrix
- Volume form
- Weinstein–Aronszajn identity
- Wronskian
References
[1] https://en.wikipedia.org/wiki/Hurwitz_determinant
Also known as Hurwitz determinants.