Accession Number:

AD0854900

Title:

The Restoration of Constraints in Holonomic Problems,

Descriptive Note:

Corporate Author:

RICE UNIV HOUSTON TEX AERO-ASTRONAUTICS GROUP

Personal Author(s):

• Miele,Angelo
• Heideman,John C.

Report Date:

1968-01-01

Pagination or Media Count:

15.0

Abstract:

The paper considers a system described by p algebraic or transcendental equations involving n variables, with np. 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