Examples of 'characteristic polynomial' in a sentence
Meaning of "characteristic polynomial"
characteristic polynomial - In mathematics, the characteristic polynomial is a polynomial associated with a square matrix. It is used to find the eigenvalues of the matrix by solving for the roots of the polynomial
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- The polynomial produced from a given square matrix by first subtracting the appropriate identity matrix multiplied by an indeterminant and then calculating the determinant.
- A polynomial P(r) corresponding to a homogeneous, linear, ordinary differential equation P(D) y = 0 where D is a differential operator (with respect to a variable t, if y is a function of t).
How to use "characteristic polynomial" in a sentence
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characteristic polynomial
The characteristic polynomial of the autonomous system.
They are roots of the characteristic polynomial.
The characteristic polynomial of an integer matrix has integer coefficients.
The minimal polynomial divides the characteristic polynomial.
So this is the characteristic polynomial for our matrix.
The eigenvalues of a matrix are the roots of its characteristic polynomial.
F faN is the characteristic polynomial function of.
The characteristic equation is the equation obtained by equating to zero the characteristic polynomial.
Suppose we want to compute the characteristic polynomial of the matrix.
The characteristic polynomial of a transformation t.
Jury criterion determines the discrete system stability about its characteristic polynomial.
Minimal and characteristic polynomial.
A necessary condition for stability is that all the coefficients of the characteristic polynomial be positive.
The characteristic polynomial.
The forming of the first matrix vector includes cyclic shifts of a sequence having a characteristic polynomial.
See also
Any monic polynomial is the characteristic polynomial of its companion matrix.
The characteristic polynomial of the sequence can be a primitive polynomial with a degree r.
Eigenvalues of A are the roots of the characteristic polynomial.
Be the zeros of the characteristic polynomial of the corresponding homogeneous equation.
The matrix A and its transpose have the same characteristic polynomial.
Properties of the characteristic polynomial of a finite rank real linear operator are studied.
Moreover, the eigenvalues are roots of the characteristic polynomial.
The characteristic polynomial and minimal polynomial have the same irreducible factors.
The algebraic multiplicities sum up to n, the degree of the characteristic polynomial.
So this is the characteristic polynomial and this represents the determinant for any lambda.
Prove that if and, have the same characteristic polynomial then.
If the characteristic polynomial has complex roots P has complex entries.
In practice, eigenvalues of large matrices are not computed using the characteristic polynomial.
The characteristic polynomial of M is the expression.
If the matrix is small, we can compute them symbolically using the characteristic polynomial.
Let the characteristic polynomial of A be.
In the same way, you can calculate these values and eigenvectors from the characteristic polynomial.
The characteristic polynomial of the butterfly graph is formula 1.
For example, the Cayley-Hamilton theorem says that every matrix satisfies its own characteristic polynomial.
The characteristic polynomial of the matrix is given by the Euler-Lotka equation.
Some authors define the characteristic polynomial to be detA - t I.
Our characteristic polynomial has simplified to lambda minus 3 times lambda squared minus 9.
Abstract, The eigenvalues of a matrix A are the zeros of its characteristic polynomial.
The characteristic polynomial of the Heawood graph is formula 1.
Therefore, and are similar, so they have the same characteristic polynomial.
The characteristic polynomial of the Folkman graph is formula 1.
Using these to specify the coefficients ci of the characteristic polynomial of a 2 × 2 matrix yields.
The characteristic polynomial of the Frucht graph is formula 1.
Then he studied the roots of the characteristic polynomial formula 14, where formula 15.
The characteristic polynomial of the Foster graph is equal to formula 1.
We prove that $ A $ and $ B $ have the same characteristic polynomial.
The characteristic polynomial as well as the minimal polynomial of C ( p ) are equal to pp.
EPMATHMARKEREP Accordingly, the characteristic polynomial of the closed loop may be written as,.
Characteristic Polynomial of a Matrix - dCode.
The LFSR sequence with the characteristic polynomial g ( x ) is defined to be a Family A sequence.
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