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The Use of Semi Inherited LU Factorization of Matrices in Interpolation of Data | ||
Iranian Journal of Optimization | ||
مقاله 2، دوره 1، شماره 2، مهر 2009، صفحه 54-66 اصل مقاله (476 K) | ||
نوع مقاله: Research Paper | ||
نویسندگان | ||
Mohammad Ali Fariborzi Araghi* ؛ Amir Fallahzadeh | ||
Department of mathematics, Islamic Azad University,Central Tehran Branch, Tehran, Iran | ||
چکیده | ||
The polynomial interpolation in one dimensional space R is an important method to approximate the functions. The Lagrange and Newton methods are two well known types of interpolations. In this work, we describe the semi inherited interpolation for approximating the values of a function. In this case, the interpolation matrix has the semi inherited LU factorization. | ||
کلیدواژهها | ||
Semi Inherited LU factorization؛ Interpolation matrix؛ Semi inherited interpolation | ||
مراجع | ||
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[5] Johnson, C. R., Olesky, D. D. and Van den Driessche, P., Inherited matrix entries: LU factorization, SIAM J. Matrix Anal. Appl, 10, 97-104, 1989.
[6] Lay, D. C., Linear Algebra and Its Applications, Third Edition, Addison Wesley, Boston, 2003.
[7] Powell, M. J. D., Approximation theory and methods, Cambridge University Press, 1996.
[8] Rivlin, T. J., An Introduction to the Approximation of Functions, Blaisdell Publishing Company, Waltham, 1969. | ||
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