eigenvalue of a matrixphr. 方阵的固有值 matrix eigenvalue矩阵特征值,矩阵特征值 characteristics root of a matrix矩阵特征根,矩阵特征根 integration of a matrix矩阵的积分,矩阵的积分 singular values of a matrix矩阵奇异值,矩阵奇异值 diagonal of a matrix(矩)阵的对角线 ...
As shown by the dotted lines, this vector sum coincides with one diagonal of the parallelogram formed with the original vectors.(more) Vectors are often expressed using coordinates. For example, in two dimensions a vector can be defined by a pair of coordinates (a1, a2) describing an arrow ...
Generalized distance matrixsmallest eigenvaluechromatic numberWiener indextransmission regular graphFor a simple connected graph G of order n , let D ( G ), Tr ( G ), D L ( G ) and D Q ( G ) be, respectively, the distance matrix, the diagonal matrix of the vertex transmissions, the ...
Using the estimators of the non-diagonally elements of strictly diagonally dominant Mmatrix,the upper and lower bounds of the elements of the principal diagonal are given;secondly;using the new bounds,the new estimators of the minimum eigenvalueτ(A)are obtained.Theoretical proof shows new estimator...
Sharp upper and lower bounds for largest eigenvalue of the Laplacian matrices of trees Let G be a simple graph, its Laplacian matrix is the difference of the diagonal matrix of its degrees and its adjacency matrix. Denote its eigenvalues by ... Yuan,Hong,and,... - 《Discrete Mathematics》...
We are concerned with the problem of finding a diagonal matrix V such that A+V (or V A ) ( A is a complex matrix) has prescribed complex eigenvalues. 关键词: scaled factorcirculant matrices eigenvalue inverse problems representative polynomials DOI: 10.1007/BF02238818 被引量: 11 年份: ...
infinity and whose diagonal and off-diagonal elements asymptotically change with the index n as J_{nt+i nt+i}\sim a_i\phi(n), J_{nt+i nt+i+1}\sim b_i\phi(n), i=0,1,...,t-1, where a_i and b_i are finite, and \phi(n) belongs to a certain class of nondecreasing ...
A diagonalizable matrix isany square matrix or linear map where it is possible to sum the eigenspaces to create a corresponding diagonal matrix. An n matrix is diagonalizable if the sum of the eigenspace dimensions is equal to n. ... A matrix that is not diagonalizable is considered “defect...
The discovery of the QR iteration is one of the great accomplishments in numerical linear algebra. Under the right conditions, the following sequence converges to an upper triangular matrix whose diagonal consists of the eigenvalues in decreasing order of magnitude: Ak–1=QkRk Ak=RkQk. The exe...
A ( G ) are similar via a complex (necessarily non-real) diagonal matrix with modular-1 diagonal entries. So we give an answer to a question raised by Shao et al., that is, for a non-odd-bipartite hypergraph G , that L ( G ) and Q ( G ) have the same spectra can not imply...