On Cubic Spline Functions Which Vanish at all Knots.

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Abstract:

Several questions raised in the recent literature regarding the existence and uniqueness, and the global and local convergence of cubic spline interpolants are answered using an observation by G. Birkhoff concerning the exponential growth of cubic null splines. Author

Author(s):
Boor, Carl De
Author Organization(s):
WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
Descriptive Note:
Technical summary rept.,
Pagination:
0031

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
MRC-TSR-1424
Contract/Grant Number(s):
DA-31-124-ARO(D)-462
 Subject Terms
Communities of Interest:
No COI(s) Identified
Descriptor(s):
*SPLINES, *INTERPOLATION, CONVERGENCE, THEOREMS
Field(s)/Group(s):
Numerical Mathematics
Keyword(s):
*Cubic spline technique, *Spline interpolation, Existence theorems, Uniqueness theorems
Report Date:
1974 May 01