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Perturbation Analysis of Structured Least Squares Problems and Its Application in Calibration of Interest Rate Term Structure
Authors:Chen Zhao  Weiguo Gao  Jungong Xue
Affiliation:School of Mathematical Sciences, Fudan University, Shanghai 200433, China
Abstract:A structured perturbation analysis of the least squares problem is considered in this paper.The new error bound proves to be sharper than that for general perturbations. We apply the new error bound to study sensitivity of changing the knots for curve fitting of interest rate term structure by cubic spline.Numerical experiments are given to illustrate the sharpness of this bound.
Keywords:Linear least squares problem  perturbation analysis  Moore-Penrose inverse  cubic spline curve fitting  interest rate term structure.
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