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I have a question concerning matrix analysis.

let $A$ be the following $n \times n$-matrix with non-negative integer entries.

$$\begin{pmatrix}0&k_2&k_3&\dots&k_n\\ k_1&0&k_3&\dots&k_n\\ k_1&k_2&0&\dots&k_n\\ \vdots&\vdots&\vdots&\vdots&\vdots\\ k_1&k_2&k_3&\dots&0\end{pmatrix}$$

i.e. the $j$-th row of $A$ is $(k_1,k_2,\dots k_n)-(0,0,...,k_j,0,0)$

How to express the norm of $A^n$ in terms of $k_1, k_2,\dots, k_n$ and the entries of $A^{(n-1)}$???

  • 3
    Which norm?${}$2012-10-15
  • 0
    either the induced norm or the frobenius norm,2012-10-15
  • 0
    I am asking the growth rate of the norm2012-10-15
  • 2
    Induced --- from what?2012-10-15

1 Answers 1