Significance of Lagrange multipliers in cross-section adjustment
A natural derivation of the explicit prescriptions incorporated in least-squares adjustment codes is given. The central role of the Lagrange multpliers in this conditional-minimum problem is noted. The evaluation of the Lagrange multipliers necessitates the inversion only of a small matrix, the order of which is the number of integral data by which the cross sections are adjusted. The complete solution of (the adjustment problem, i.e., the adjusted differential and integral parameters and their respective uncertainty (variance-covariance) matrices, is given in terms of the Lagrange multipliers by simple expressions involving no additional matrix inversions. (RWR)
- Research Organization:
- Oak Ridge National Lab., TN (USA)
- DOE Contract Number:
- W-7405-ENG-26
- OSTI ID:
- 5281859
- Report Number(s):
- CONF-800607-49
- Country of Publication:
- United States
- Language:
- English
Similar Records
Dosimeter based adjustments of fast neutron spectra
Significance of Lagrange multipliers in cross-section adjustment
Conference
·
Sat Dec 31 23:00:00 EST 1977
·
OSTI ID:6680728
Significance of Lagrange multipliers in cross-section adjustment
Conference
·
Mon Dec 31 23:00:00 EST 1979
· Trans. Am. Nucl. Soc.; (United States)
·
OSTI ID:6594848
Related Subjects
651000 -- Nuclear Physics
654003* -- Radiation & Shielding Physics-- Neutron Interactions with Matter
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ALGORITHMS
CROSS SECTIONS
DATA COVARIANCES
EVALUATION
LEAST SQUARE FIT
MATHEMATICAL LOGIC
MAXIMUM-LIKELIHOOD FIT
MODIFICATIONS
NUCLEAR DATA COLLECTIONS
NUMERICAL SOLUTION
VARIATIONS
654003* -- Radiation & Shielding Physics-- Neutron Interactions with Matter
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ALGORITHMS
CROSS SECTIONS
DATA COVARIANCES
EVALUATION
LEAST SQUARE FIT
MATHEMATICAL LOGIC
MAXIMUM-LIKELIHOOD FIT
MODIFICATIONS
NUCLEAR DATA COLLECTIONS
NUMERICAL SOLUTION
VARIATIONS