Open AccessSensitivity Analysis of the Matrix Equation from Interpolation Problems
Author(s) -
Jing Li,
Yuhai Zhang
Publication year - 2013
Publication title -
journal of applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.307
H-Index - 43
eISSN - 1687-0042
pISSN - 1110-757X
DOI - 10.1155/2013/518269
Subject(s) - mathematics , residual , interpolation (computer graphics) , perturbation (astronomy) , matrix (chemical analysis) , sensitivity (control systems) , mathematical analysis , physics , algorithm , chemistry , motion (physics) , classical mechanics , quantum mechanics , chromatography , electronic engineering , engineering
This paper studies the sensitivity analysis of a nonlinear matrix equation connected to interpolation problems. The backward error estimates of an approximate solution to the equation are derived. A residual bound of an approximate solution to the equation is obtained. A perturbation bound for the unique solution to the equation is evaluated. This perturbation bound is independent of the exact solution of this equation. The theoretical results are illustrated by numerical examples
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