实对称矩阵A是负定的,如果二次型f(x1,x2,...,xn)=X'AX负定。矩阵负定的充分必要条件是它的特征值都小于零。若矩阵A是n阶负定矩阵,则A的偶数阶顺序主子式大于 0,奇数阶顺序主子式小于 0。 负定矩阵是矩阵类中的一种特殊矩阵,它在矩阵理论中占有重要地位。负定矩阵可以看成是与正定矩阵对应的概念,负定矩阵与正定矩阵有着许多相似的性质。
数值算例说明指数稳定的半负定矩阵条件和控制器设计方法是可行的。
Numerical examples show that the negative semi-definite matrix condition of exponential stability and the controller design method are feasible.
讨论了L-非负定矩阵的广义B-D逆的代数扰动问题,并给出了它的代数扰动表达式。
In this paper, the algebraic perturbation theory of generalized B-D Inverse of L-nonnegative definite matrix is discussed. and the expressions of the algebraic perturbation are presented.
非负矩阵分解(NMF)要求分解得到的左矩阵为列满秩,这限制了它在欠定盲分离(UBSS)中的应用。
The decomposed left matrix of Non-negative Matrix Factorization (NMF) is required to be full column rank, which limits of its application to Underdetermined Blind Source Separation (UBSS).
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