blknorm 209
blknorm
Syntax
normM = blknorm(M,blk,p,Frobenius)
Parameter Li st
Inputs: M Matrix (or pdm).
blk Block structure. See mu section of the manual for a de-
scription of the syntax.
p Scalar valued. Specifies the Holder “p” norm to b e used,
where 1 ≤p≤inf. Optional. Thedefault isp = 2.
Keywords: Frobenius The Frobenius norm is used.
Outputs: normM Matrix (or pdm) norms of each block of M.
Description
M is partitioned according the input/output partitions determined by blk. The
maximum singular value of each partition is calculated and normA is the matrix (pdm)
of norms.
For example, if p = 2 (the default case) and blk represents a single perturbation (with
compatible input/output dimensions) then normA is simply the maximum singular
value. If blk consists of entirely 1×1 perturbations, then normA is equal to abs(A).
Repeated scalar blocks are taken as full blocks. This neglects the assumed equivalences
between parts of Delta.
The Xmath function norm is used for the calculations. For further detail, refer to norm