Accession Number : AD0854900

Title :   The Restoration of Constraints in Holonomic Problems,

Corporate Author : RICE UNIV HOUSTON TEX AERO-ASTRONAUTICS 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 least-square 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