
Accession Number : AD0854900
Title : The Restoration of Constraints in Holonomic Problems,
Corporate Author : RICE UNIV HOUSTON TEX AEROASTRONAUTICS GROUP
Personal Author(s) : Miele,Angelo ; Heideman,John C.
Report Date : 1968
Pagination or Media Count : 15
Abstract : The paper considers a system described by p algebraic or transcendental equations involving n variables, with n>p. It is assumed that a nominal state, not satisfying all the equations, is given. An iterative procedure is developed leading to a varied state satisfying all the equations. The procedure involves quasilinearization with an added optimality condition, namely, the requirement of leastsquare change of the coordinates. Several numerical examples are supplied. (Author)
Descriptors : (*EQUATIONS, *NUMERICAL ANALYSIS), COMPUTER PROGRAMMING, PARTIAL DIFFERENTIAL EQUATIONS, SIMULTANEOUS EQUATIONS, TRANSCENDENTAL FUNCTIONS, LEAST SQUARES METHOD, MATRICES(MATHEMATICS), APPROXIMATION(MATHEMATICS), ITERATIONS, INEQUALITIES, ALGORITHMS
Subject Categories : Statistics and Probability
Distribution Statement : APPROVED FOR PUBLIC RELEASE