WHEN TO NEGLECT OFF-DIAGONAL ELEMENTS OF SYMMETRIC MATRICES.

reportActive / Technical Report | Accession Number: AD0638797 | Need Help?

Abstract:

Given a tolerance EO, the author seeks a criterion by which an off-diagonal element of the symmetric tri-diagonal matrix J may be deleted without changing any eigenvalue of J by more than E. The criterion obtained permits the deletion of elements of order square root of E under favorable circumstances, without requiring any prior knowledge about the separation between the eigenvalues of J. Author

Author(s):
Kahan, W.
Author Organization(s):
STANFORD UNIV CALIF DEPT OF COMPUTER SCIENCE
Descriptive Note:
Technical rept.
Supplementary Note:
Prepared in cooperation with Toronto Univ. (Ontario). Depts. of Computer Science and Mathematics.
Pagination:
0013

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
CS-42
Contract/Grant Number(s):
Nonr-225(37)
Project Number(s):
NR-044-211
 Subject Terms
Communities of Interest:
No COI(s) Identified
Descriptor(s):
(*MATRICES(MATHEMATICS), ITERATIONS), THEORY
Field(s)/Group(s):
Theoretical Mathematics
Report Date:
1966 Jul 25