v-AAA-Lawson

A AAA-type with Lawson's iteration. It computes matrix-valued rational approximants, poles and zeros of user-specific rational types.

---------------v-aaa-lawson-------------

Summary:

v-aaa-lawson is a AAA-type method with Lawson's iteration; it produces

vector-valued or matrix-valued rational approximants as well as the

corresponding poles and zeros of user-specific rational types.

Function:

[Rfun, mJ, J, pol, zers, errA ] = v_aaa_lawson(t, bigF, nd, deg_vec, maxItr)

Examples (refer to):

toy_example1_v_aaa_lawson_a.m

toy_example1_v_aaa_lawson_b.m

References:

[1] Zhang Lei-Hong, Ya-Nan Zhang, Linyi Yang, Ruwu Xiao, A AAA-type

algorithm for the microwave duplexer filtering, 2024.

[2] Y. Nakatsukasa, O. Sete, and L. N. Trefethen. The AAA algorithm for

rational approximation. SIAM J. Sci. Comput., 40:A1494-A1522, 2018.

[3] P. Lietaert, K. Meerbergen, J. Perez, and B. Vandereycken. Automatic

rational approximation and linearization of nonlinear eigenvalue

problems. IMA J. Numer. Anal., 42:1087-1115, 2022.