TY - JOUR
T1 - Minimal degree rational unimodular interpolation on the unit circle
AU - Glader, Christer
PY - 2008
Y1 - 2008
N2 - We consider an interpolation problem with n distinct nodes z1, . . . Zn and n interpolation values w1 . . ., w n, all on the complex unit circle, and seek interpolants b(z) of minimal degree in the class consisting of ratios of finite Blaschke products. The focus is on the so-called damaged cases where the interpolant of minimal degree is non-uniquely determined. This paper is a continuation of the work in Glader [Comput. Methods Funct. Theory, 6 (2006), pp. 481-492], which treated the uniquely solvable fragile and elastic cases.
AB - We consider an interpolation problem with n distinct nodes z1, . . . Zn and n interpolation values w1 . . ., w n, all on the complex unit circle, and seek interpolants b(z) of minimal degree in the class consisting of ratios of finite Blaschke products. The focus is on the so-called damaged cases where the interpolant of minimal degree is non-uniquely determined. This paper is a continuation of the work in Glader [Comput. Methods Funct. Theory, 6 (2006), pp. 481-492], which treated the uniquely solvable fragile and elastic cases.
KW - Blaschke product
KW - Nevanlinna parametrization
KW - Rational interpolation
UR - http://www.scopus.com/inward/record.url?scp=58449085492&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:58449085492
SN - 1068-9613
VL - 30
SP - 88
EP - 106
JO - Electronic Transactions on Numerical Analysis
JF - Electronic Transactions on Numerical Analysis
ER -