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m.l.maija

Member

Registered: 2009-02-23

Posts: 5

Matrix Exponential

A(n×n) matrix with real elements k:=|w_max/w_min|, w- matrix singular values. Are those statements true? Why?
a) ||exp(A)||≤exp(||A||)
b) w_min(exp(A))≥exp(w_min(A))
c) k(exp(A))≤exp(k(A))
d) k(exp(A))≤exp(2*||A||)
e) Rank(exp(A))≥Rank(A)
f) Rank(exp(A))≤Rank(A)

Last edited by m.l.maija (2010-01-26 07:57:28)