Partial Indices of Small Perturbations of a Degenerate Continuous Matrix Function
Israel Feldman, Naum Krupnik, Alexander Markus · Birkhäuser Basel eBooks · 2002
If A ( t ) is a continuous on the unit circle n x n matrix function such that det A ( t 0 ) = 0 for some t 0 , | t 0 | = 1, and s = ( s 1 , s 2 ,…, s n ,) is a given vector in Z n , then in any neighborhood of A ( t )there exists a rational matrix function with partial indices ( s 1 , s 2 ,…, s n ). These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.