Perturbation Analysis of Structured Least Squares Problems and Its Application in Calibration of Interest Rate Term Structure
Numer. Math. J. Chinese Univ. (English Ser.)(English Ser.) 16 (2007), pp. 383-392
Published online: 2007-11
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@Article{NM-16-383,
author = {C. Zhao, W. G. Gao and J. G. Xue},
title = {Perturbation Analysis of Structured Least Squares Problems and Its Application in Calibration of Interest Rate Term Structure},
journal = {Numerical Mathematics, a Journal of Chinese Universities},
year = {2007},
volume = {16},
number = {4},
pages = {383--392},
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.},
issn = {},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/nm/10067.html}
}
TY - JOUR
T1 - Perturbation Analysis of Structured Least Squares Problems and Its Application in Calibration of Interest Rate Term Structure
AU - C. Zhao, W. G. Gao & J. G. Xue
JO - Numerical Mathematics, a Journal of Chinese Universities
VL - 4
SP - 383
EP - 392
PY - 2007
DA - 2007/11
SN - 16
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/nm/10067.html
KW -
AB -
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.
C. Zhao, W. G. Gao and J. G. Xue. (2007). Perturbation Analysis of Structured Least Squares Problems and Its Application in Calibration of Interest Rate Term Structure.
Numerical Mathematics, a Journal of Chinese Universities. 16 (4).
383-392.
doi:
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