ESTIMATES OF THE ROUNDOFF ERROR IN THE SOLUTION OF A SYSTEM OF CONDITIONAL EQUATIONS

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Abstract:

The paper compares the roundoff error in the least-squares solution of a system of conditional equations Axf by two different methods, using backward error analysis. The first one entails solving the normal equations A sup TAx A sup Tf and the second is one proposed by Faddeev, Faddeeva, and Kublanovskaya in 1966. This latter method involves multiplying the system by othogonal matrices to transform the matrix A into upper triangular form.

Author(s):
Gordonova, V. I.
Author Organization(s):
STANFORD UNIV CA DEPT OF COMPUTER SCIENCE
Supplementary Note:
Trans. of Zhurnal Vychislitelnoi Matematiki i Matematicheskoi Fiziki (USSR) v9 n4 p775-783 Jul-Aug 1969, by Linda Kaufman. Sponsored in part by Grant NSF-GJ-408. DOI: 10.21236/AD0708692
Pagination:
0020

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release
Distribution Statement:
Approved For Public Release; Distribution Is Unlimited.

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
STAN-CS-70-164
Contract/Grant Number(s):
N00014-67-A-0112-0029, AT(04-3)-326
Project Number(s):
NR-044-211
Monitor Series:
ONR
 Subject Terms
Joint Capability Areas:
JCA_5.3_Planning; JCA_5_Command and Control; JCA_1.2_Force Preparation; JCA_1_Force Support
Communities of Interest:
Materials and Manufacturing Processes
Descriptor(s):
*MATRICES(MATHEMATICS), *NUMERICAL ANALYSIS, COMPUTER PROGRAMMING, DIFFERENTIAL EQUATIONS, ERRORS, NUMERICAL INTEGRATION, REPRINTS, USSR
Field(s)/Group(s):
Theoretical Mathematics, Computer Programming and Software
Keyword(s):
*ROUND OFF ERRORS, TRANSLATIONS
Report Date:
1970 Jun 01