By Theorem 6.2, P is an orthogonal matrix. Now compute PTAP and you will again get D. Thus, A is diagonalizable using an orthogonal matrix. Real symmetric matrices have wonderful properties. We can get a hint of this by taking a look at the nonsymmetric matrix A=12401−1002. Since ...
The improved Householder method is used to calculate the real symmetric matrix. 将对复H erm ite矩阵求特征值和特征向量的问题转化为求解实对称阵的特征值和特征向量,而实对称阵的求解采用一种改进的三对角Househo lder法。 2. In Entrance Test of Higher Algebra of Zhangzhou Terachers Colleage for MA...
The real symmetric matrix, the diagonal matrix and the orthogonal basis of n-dimensional Euclidean space are studied. 研究实对称矩阵、对角矩阵以及欧氏空间的规范正交基。 更多例句>> 6) Real quadratic diagonalizable matrix 实性平方可对角化矩阵补充...
2 Diagonalizable Matrices in C nn Let C nn be the set of complex square matrices of order n. In C nn a matrix A is...P. D. Lax, On the discriminant of real symmetric matrices, Comm. Pure Appl. Math. LI (1998), 1387-1396....
This paper gives a series of sufficient and necessary conditions and sufficient conditions for simultaneously congruent diagonalization of two real symmetric matrices.关键词: real symmetric matrix simultaneously congruent diagonalization diagonalizable matrix ...
4) Real quadratic diagonalizable matrix 实性平方可对角化矩阵5) The Metapositive Definite Matrix 实方阵的次正定性6) square matrix 方阵 1. n order determinant: a function of n order square matrix; n阶行列式-n阶方阵的函数 2. On the properties of the adjoint matrix of square matrix; ...
1.The General Form of A djoint of kth degree of N-th-order s Square-Matrix;n阶方阵的k次伴随矩阵的一般形式 2.The Methods of Calculating Power of Diagonalizable Matix;相似于对角矩阵的方阵高次幂的求法 3.soldiers drawn up in squares排成四方阵的士兵. ...
Answer to: Prove the given theorem: For any square matrix A with real number entries, A+A' is a symmetric matrix and A-A' is a skew-symmetric...
a(ξ) is n, strongly hyperbolic matrix mxmof reduced dimension greater or equal 1.o 2; we state that a(￡) is presymmetric. The schedule of the proof is given when m = 5.Jean VaillantProgress in analysis: proceedings of the 3rd International ISAAC Congress, Berlin, Germany, 20-25 ...
A parallelizable eigensolver for real diagonalizable matrices with real eigenvalues - Huss-Lederman, Tsao, et al. - 1997 () Citation Context ...any simplifications in these algorithms are possible in case the matrix A is symmetric. The PRISM project, with which this work is associated, is ...