ABSTRACT
This shows that, if equation (34) is true for n=k, it must also be true for n=k +1. Therefore it is true for every k. Furthermore, if B is nonsingular,
Corollary 1. If ||M|| is small enough, we can use the property that ||Mk||=||M||k and show that, for any vector v, ||M||kv? 0 ask? 8 . Therefore, if ||(I-B)k||? 0 as k? 8 , then7
Lemma 2. If A is an m×n matrix and Im is the m×m identity matrix, then
