Control System Toolbox™

bdschur - Block-diagonal Schur factorization

Syntax

[T,B,BLKS] = bdschur(A,CONDMAX)
[T,B] = bdschur(A,[],BLKS)

Description

[T,B,BLKS] = bdschur(A,CONDMAX) computes a transformation matrix T such that is block diagonal and each diagonal block is a quasi upper-triangular Schur matrix.

[T,B] = bdschur(A,[],BLKS) pre-specifies the desired block sizes. The input matrix A should already be in Schur form when you use this syntax.

Input Arguments

• A: Matrix for block-diagonal Schur factorization.

• CONDMAX: Specifies an upper bound on the condition number of T. By default, CONDMAX = 1/sqrt(eps). Use CONDMAX to control the tradeoff between block size and conditioning of T with respect to inversion. When CONDMAX is a larger value, the blocks are smaller and T becomes more ill-conditioned.

Output Arguments

• T: Transformation matrix.

• B: Matrix .

• BLKS: Vector of block sizes.

See Also

ordschur, schur

bandwidth

bode