Hybrid conjugate gradient algorithms

Technical Report · Mon Mar 01 04:00:00 EST 1976

OSTI ID:7357906

O'Leary, D P

The conjugate gradient algorithm is a standard iterative technique for solving systems of linear and nonlinear equations. This report deals with the development of computationally efficient and more stable variations of the standard conjugate gradient algorithm for problems in which the Jacobian matrix is symmetric and positive definite. Specific applications considered are associated with the solution of finite difference discretizations of elliptic partial differential equations. The applications are in the fields of hydrodynamics and stress analysis; simple numerical examples are given concerning water seepage through a porous earthen dam, the pressure distribution on the lubricant surrounding a journal bearing, and the behavior of the cross section of a rectangular bar under torsion. 3 figures, 9 tables. (RWR)

• Research Organization: Stanford Univ., Calif. (USA). Dept. of Computer Science
• OSTI ID: 7357906
• Report Number(s): SU-326-P30-46
• Country of Publication: United States
• Language: English

Related Subjects

658000 -- Mathematical Physics-- (-1987)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
99 GENERAL AND MISCELLANEOUS
990200* -- Mathematics & Computers
ALGORITHMS
BEARINGS
DAMS
DIFFERENTIAL EQUATIONS
EQUATIONS
ITERATIVE METHODS
JOURNAL BEARINGS
LUBRICANTS
MATHEMATICAL LOGIC
NONLINEAR PROBLEMS
NUMERICAL SOLUTION
STRESSES
TORSION