characteristic polynomial of a matrix [数] 矩阵的特征多项式 Characteristic value of the matrix 矩阵的特征值 ... dict.youdao.com|基于1 个网页 2. 矩阵的特征多顶式 矩阵特征多项式,Polynomial... ... ) matrix polynomial 矩阵多项式 ) characteristic polynomial of a matrix 矩阵的特征多顶式 ... www...
For every α∈ [ 0 , 1 ] , Nikiforov (Appl Anal Discrete Math 11(1):81–107, 2017) defined the matrix A α (G) = α D (G) (1 - α) A (G) . In this paper, we present the A α (G) -characteristic polynomial when G is obtained by coalescing two graphs, and if G is...
First we are given an orthogonal matrix X. The property that comes from orthogonality is also given to us. Then we show that two matrices have the same characteristic polynomial P(k). A characteristic polynomial of a matrix is a polynomial wh...
Matrix theoryLetχ(A)denote the characteristic polynomial of a matrixAover a field; a standard result of linear algebra states thatχ(A−1)is the reciprocal polynomial ofχ(A). More formally, the conditionχn(A)χk(A−1)=χn−k(A)holds for any invertiblen×nmatrixAover a field,...
La Budde's method computes the characteristic polynomial of a real matrix A in two stages: first it applies orthogonal similarity transformations to reduce A to upper Hessenberg form H, and second it computes the characteristic polynomial of H from characteristic polynomials of leading principal ...
An algorithm is described for determining the first row of an upper Hessenberg matrix, associated with a completely controllable linear system, so as to produce a prespecified characteristic polynomial. The scheme is faster and more flexible than two existing procedures and is competitive with regard ...
Proceedings of the London Mathematical SocietyWebb, C., Wong, M. D., On the moments of the characteristic polynomial of a Ginibre random matrix, arxiv: 1704.04102.pdf Yacin Ameur, Department of Mathematics, Faculty of Science, Lund University,...
:the determinant of a square matrix in which an arbitrary variable (such asx) is subtracted from each of the elements along the principal diagonal Word History First Known Use circa 1957, in the meaning definedabove Time Traveler The first known use ofcharacteristic polynomialwas circa 1957 ...
Let f(x) be a monic, irreducible separable polynomial of degree n over a field F of characteristic not 2. Let 2 k1≤n≤2 k . We show that if f(x) is the charactersic polynomial of a symmetric matrix over F then the discriminant of f(x) is a sum of 2 k squares in F. The ...
of method to calculate the eigenvalues of a matrix:characteristic polynomialmethod and QR method.───结合多项式方法和QR方法各自的特点,提出了一种计算矩阵重特征值的方法。 Similar matrices have the samecharacteristic polynomial, thus they have the same eigenvalues.───相似矩阵有相同的特征多项式, 从而...