Re: Functions of a block "reverse-diagonal" matrix.

Igor Khavkine wrote:

All even powers of this matrix will be block diagonal, while all odd
powers will be "reverse-diagonal", as you say, or "anti-diagonal", as
others might say. Just compute the first few powers of it to see the
pattern. Write the exponential as sinh + cosh, you should have an
explicit block-wise expression for each of these two terms.

The eigenvalues of the square of the original matrix are squared eigenvalues
of the Metzler matrix. The original eigenvalues are +/- square roots
of eigenvalues
of the Metzler matrix.
kunzmilan

.

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