diagonalizable

1. The main purpose of this paper is to study a new proof of extended unitary diagonalizable of self-conjugate matrix in quaternion field and deduce other properties concerned.
   探讨了四元数体上自共轭矩阵的广义酉对角化的新证法，并由此推出其它相应的性质。
2. Random Response of Diagonalizable Systems and Method of Measuring Damping Matrices
   可对角化系统的随机响应分析及其阻尼矩阵的实验测定
3. Those new methods are based on Jacobson's theory and its characteristic structure which make the problem equivalent to a 2 x 2 matrix polynomial equation with diagonalizable solutions.
   新方法以四元数的复表示及其可对角化的特征结构为理论基础，将问题等价为求解2×2矩阵多项式的可对角化解；
4. The symmetric nonnegative matrices which is a special nonnegative matrices is considered. Applying the property that real symmetric matrices can be diagonalizable, a new theorem of estimating the lower bound is given.
   研究了一类特殊的非负矩阵即对称非负矩阵，应用实对称矩阵可对角化这一特殊性质，给出了下界估计。
5. The Necessary and Sufficient Conditions of Diagonalizable Orthogonal Transformation and Orthogonal Matrix
   正交变换与正交矩阵可对角化的充要条件
6. It is started with to resolve from everybody known very well Schur decomposition, utilizing matrix that can be diagonalizable and identically equal through matrix equality out of shape, receiving perturbation bounds of diagonalizable matrix about F-norm and Q-norm.
   从Schur分解入手，利用矩阵可对角化的性质，通过矩阵等式的恒等变形，得到了可对角化矩阵关于F-范数和Q-范数的任意扰动界。
7. Differing from the diagonalizable transformation or normal form, the method avoids solving all eigenvalues of the Jacobian matrixes except the eigenvalue with positive real part, and so the time-consuming computation is reduced greatly.
   与对角化或规范型（NormalForm）方法相比，该方法避免了求解Jacobian矩阵的全部特征根，从而使计算量显著下降。
8. This paper deals with diagonalizable linear transformations.
   本文揭示了线性变换的象与核在研究线性变换对角化问题中的重要意义。
9. The Construction of Similarity Inverse Transformation Matrices of a Diagonalizable Matrix
   一类相似逆变换矩阵的构造
10. Completing the analysis of the solutions of the quadratic equation by using the new method and also obtaining the diagonalizable solutions of standard matrix polynomial equation.
    应用新方法完成了二次方程解的完整分析及得到了一般矩阵多项式方程的可对角化解。
11. Arbitrary Perturbation Bounds on Diagonalizable Matrix
    可对称化矩阵特征值的任意扰动
12. There are quasi steady state method and block diagonalizable method in singular perturbation theory, and the former resolves the system which time scale difference is small and the latter resolves the system which scale difference is big.
    奇异摄动方法主要有准稳态法和块对角化法，分别针对时标差异较小和较大的系统。

adj

1. capable of being transformed into a diagonal matrix