In linear algebra, the Hermite normal form is an analogue of reduced echelon form for matrices over the integers Z {\displaystyle \mathbb {Z} } . Just...

quadratic forms, invariant theory, orthogonal polynomials, elliptic functions, and algebra. Hermite polynomials, Hermite interpolation, Hermite normal form, Hermitian...

equation to diagonal form, we only need to make it triangular, which is called the Hermite normal form. The Hermite normal form is substantially easier...

For a matrix with integer coefficients, the Hermite normal form is a row echelon form that can be calculated without introducing any denominator...

friend M. Hermite well proposes to call them, their Canonical forms." In the same period, usage is attested by Hesse ("Normalform"), Hermite ("forme canonique")...

normal form (also called rational canonical form) Hermite normal form Singular value decomposition An animated example of computation of Smith normal...

agree if, and only if, their Howell normal forms agree. The Howell normal form generalizes the Hermite normal form, which is defined for matrices over...

discriminants Hermite normal form, a form of row-reduced matrices Hermite numbers, integers related to the Hermite polynomials Hermite polynomials, a...

1 ) − 5 / 4 {\displaystyle a=d_{0}(-d_{1})^{-5/4}} . This form is required by the Hermite–Kronecker–Brioschi method, Glasser's method, and the Cockle–Harley...

matrix used (possibly implicitly) in lattice reduction and in the Hermite normal form of matrices. The Kronecker product of two unimodular matrices is...

In mathematics, the Hermite polynomials are a classical orthogonal polynomial sequence. The polynomials arise in: signal processing as Hermitian wavelets...

a normal distribution or Gaussian distribution is a type of continuous probability distribution for a real-valued random variable. The general form of...

b)M = (d 0), and the term left Hermite is defined similarly. Matrices over such a ring can be put in Hermite normal form by right multiplication by a square...

such as the reduction of the matrix of the system to Smith normal form or Hermite normal form. However, as usual when using a general algorithm for a more...

reducing any kind of matrix format to a standard format called 'Hermite Normal form', which is a unit upper triangular matrix. Some of his other projects...

characteristic polynomial, eigenvalues (but not eigenvectors), Hermite normal form, and Smith normal form.[citation needed] In his 1969 paper, where he proved the...

to linear Diophantine equations and abelian group with Hermite normal form and Smith normal form. Before the 20th century, different types of eliminants...

numerical analysis Hermite normal form, in linear algebra Hermite polynomials, a classical orthogonal polynomial sequence Hermite spline, a spline curve...

Head normal form Hednesford railway station, in England Heinz Nixdorf MuseumsForum, in Paderborn, Germany Hepatocyte nuclear factor Hermite normal form Hesse...

Bring–Jerrard normal form x5 − x + t = 0. The roots of this equation cannot be expressed by radicals. However, in 1858, Charles Hermite published the...

{H}}} Hermitian matrices are named after Charles Hermite, who demonstrated in 1855 that matrices of this form share a property with real symmetric matrices...

computing Gröbner Bases (2004) Magma's High Performance for computing Hermite Normal Forms of integer matrices Magma V2.12 is apparently "Overall Best in the...

In probability theory and statistics, the Hermite distribution, named after Charles Hermite, is a discrete probability distribution used to model count...

and showed, in modernized notation, that it can be expanded in terms of Hermite polynomials H ( ⋅ ) {\displaystyle H(\cdot )} based on weight function...

algorithm on it and referring to the basis as B, matrix B is already in Hermite Normal Form so the first step is not needed. The determinant is d = 2 {\displaystyle...

Nicolas Pierre Hachette". MacTutor History of Mathematics archive. "Charles Hermite". MacTutor History of Mathematics archive. "Claude Louis Mathieu". MacTutor...

variable Z that is formed as the ratio Z = X/Y is a ratio distribution. An example is the Cauchy distribution (also called the normal ratio distribution)...

group in organic chemistry and biochemistry; see Alpha and beta carbon Hermite constant The Euler’s Constant also known as Euler–Mascheroni constant ≈...

using Hermite functions. For unit variance, the n-th derivative of the Gaussian is the Gaussian function itself multiplied by the n-th Hermite polynomial...

purpose (compare with Liouville number); the proof was given by Charles Hermite in 1873. The number e is one of only a few transcendental numbers for which...