A Appendix

A.1 Algebra and Matrix Theory

We now present some inequalities on vector and matrix norms. Consider vector images and matrix images . Define images , images , images , and images , where images with images matrix eigenvalues.

Since the matrix norm is induced by the corresponding vector norm, we have

(A.1) images

For matrix images , we have the following inequality

(A.2) images

Hints: Inequalities (A.1) and (A.2) are frequently used. In ...

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