Sentence examples for characteristic polynomial from inspiring English sources

"characteristic polynomial" is a correct and usable term in written English.
It is used in the field of mathematics to refer to a polynomial equation that is used to find the eigenvalues of a matrix. It is typically written as "the characteristic polynomial of a matrix" or "finding the characteristic polynomial." Example: "To solve for the eigenvalues of this matrix, we must first find its characteristic polynomial."

Dictionary

characteristic polynomial

noun

The determinant, of a matrix minus an indeterminant times the identity matrix

  • The characteristic polynomial of \left(\begin{array{cc1 & 4\\3 & -5\end{array\right) is \mathbf{Det\left(\begin{array{cc1-x & 4\\ 3 & -5-x\end{array\right).

Exact(60)

The roots of the characteristic polynomial are called the eigenvalues of.

We do this by considering the expected characteristic polynomial of a random d-regular graph.

Whereas the constant coefficient of the general characteristic polynomial is the resultant of the system.

27 Sep 2007 Dawei Chen G.I.T. 4 Oct 2007 Anh-Vinh Le Why does characteristic polynomial factor?

(The determinant of is also often written.) In linear algebra, the polynomial is called the characteristic polynomial for the matrix.

We generalize the notion of characteristic polynomial for a system of linear equations to systems of multivariate polynomial equations.

Afterwards, the group dynamics is analyzed in terms of characteristic polynomial of the controlled system.

Once such a target characteristic polynomial is obtained, the controller parameters are determined accordingly.

The closed loop characteristic polynomial is thus fractional for which the roots are complex to calculate.

The designed regulator has to place all coefficients of the system characteristic polynomial within assigned intervals.

The method suggested is dependent on the order of the characteristic polynomial.

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