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Adaptive l 1 – l 2 curve fitting
Author(s) -
Avila P. G.,
Taylor G. D.
Publication year - 1979
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620140608
Subject(s) - fortran , piecewise , polynomial , range (aeronautics) , algorithm , piecewise linear function , code (set theory) , curve fitting , mathematics , computer science , discrete mathematics , geometry , mathematical analysis , programming language , materials science , set (abstract data type) , machine learning , composite material
In References 1 and 2, algorithms were introduced for adaptively computing smooth piecewise polynomial approximations using uniform, least‐squars ( l 2 ) and restricted‐range uniform approximations. This present paper introduces a FORTRAN program for computing smooth piecewise polynomial approximations to data and/or precise mathematical functions (in discrete form) which allows the user the option of using best l 1 of best l 2 approximations. (The l 2 option of this newly developed l 1 – l 2 adaptive curve‐fitting package supersedes the code listed in Reference 1 for the old least‐squares program.) In this paper, adaptive curve‐fitting algorithm used in this l 1 – l 2 package is described in detail, the FORTRAN program is the given (in the Appendix) and discussed, the numerical results are presented in an effort to illustrate how the l 1 and l 2 versions of this algorithm may be used most effectively.