## A Regularity Result for the Singular Values of a Transfer Matrix and a Quadratically Convergent Algorithm for Computing its L_infinity-normS. Boyd and V. Balakrishnan
SCL paper: sv_of_tf.pdf Conference paper: sv_of_tf_conf.pdf
The th singular value of a transfer matrix need not be a differentiable function of frequency where its multiplicity is greater than one. We show that near a local maximum, however, the largest singular value has a Lipschitz second derivative, but need not have a third derivative. Using this regularity result, we present a quadratically convergent algorithm for computing the -norm of a transfer matrix. |