Inclusion theorem by means of iteration procedure

This dissertation is concerned with several topics in the theory of spectral iteration procedures in matrix analysis. Suppose that A is a normalizable martix, A = SDS-1 with D = diag(d1,d2, ...,dn),

x

is a monotonic vector norm for x [epsilon] Cn and for any matrix V [epsilon] Mn (C)

V

= max [over] x [does not equal theta]

Vx

[over]

x

is the matrix norm subordinate to the vector norm

x

then, it is shown that for [...]