320 Pages
by
CRC Press
320 Pages
by
Routledge
Also available as eBook on:
Presenting numerous algorithms in a simple algebraic form so that the reader can easilytranslate them into any computer language, this volume gives details of several methodsfor obtaining accurate least squares estimates. It explains how these estimates may beupdated as new information becomes available and how to test linear hypotheses.Linear Least Squares Computations features many structured... Read more
PREFACE, 1 THE GAUSS AND GAUSS-JORDAN METHODS: ASPECTS OF COMPUTER PROGRAMMING , 2 MATRIX ANALYSIS OF GAUSS’S METHOD: THE CHOLESKY AND DOOLITTLE DECOMPOSITIONS, 3 THE LINEAR ALGEBRAIC MODEL: THE METHOD OF AVERAGES AND THE METHOD OF LEAST SQUARES, 4 THE CAUCHY-BIENAYME, LAPLACE, AND SCHMIDT PROCEDURES, 5 HOUSEHOLDER’S PROCEDURE. 6 CrVENS’S PROCEDURE, 7 UPDATING THE QU DECOMPOSITION, 8 PSEUDO-RANDOM NUMBERS, 9 THE STANDARD LINEAR MODEL 10 CONDITION NUMBERS, 11 INSTRUMENTAL VARIABLE , 12 GENERALIZED LEAST SQUARES ESTIMATION, 13 ITERATIVE SOLUTIONS OF LINEAR AND NONLINEAR LEAST SQUARES PROBLEMS, 14 CANONICAL EXPRESSIONS FOR THE LEAST SQUARES ESTIMATORS AND TEST STATISTICS, 15 TRADITIONAL EXPRESSIONS FOR THE LEAST SQUARES UPDATING FORMULAS AND TEST STATISTICS, 16 LEAST SQUARES ESTIMATION SUBJECT TO LINEAR EQUALITY CONSTRAINTS SUPPLEMENTARY READING GLOSSARY OF MATRIX ALGEBRA AUTHOR INDEX SUBJECT INDEX
Biography
R.W. Farebrother
