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An explicit solution for the cubic spline interpolation for functions of a single variable
Institution:1. Ecole Nationale Supérieure de Génie Energétique et Procédés (ENSGEP), University of Abomey, Republic of Benin;2. Institute of Mathematics and Physical Sciences (IMSP), Republic of Benin;3. University of Abomey-Calavi, Department of Physics, Republic of Benin;4. Département de physique, Laboratoire de Magnétisme et Physique des Hautes Energies, Faculté des Sciences, Rabat, B.P. 1014, Morocco;5. Département de Physique, Laboratoire de Physique de la Matière Condensée. Faculté des Sciences, Route Ben Maachou, El Jadida, 24000, Maroc;1. Division of Cardiology, Department of Internal Medicine, National Yang-Ming University Hospital, Yilan, Taiwan;2. Department of Healthcare Administration and Medical Informatics, Kaohsiung Medical University, Kaohsiung, Taiwan;3. Department of Logistics Management, National Kaohsiung University of Science and Technology, Kaohsiung, Taiwan;4. Department of Medical Research, Kaohsiung Medical University Hospital, Kaohsiung, Taiwan
Abstract:An algorithm for computing the cubic spline interpolation coefficients without solving the matrix equation involved is presented in this paper. It requires only O(n) multiplication or division operations for computing the inverse of the matrix compared to O(n2) or larger number of operations in the Gauss elimination method.
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