Modification of a Quasi-Newton Method for Nonlinear Equations with a Sparse Jacobian
- 1 January 1970
- journal article
- Published by JSTOR in Mathematics of Computation
- Vol. 24 (109) , 27-30
- https://doi.org/10.2307/2004874
Abstract
For solving large systems of nonlinear equations by quasi-Newton methods it may often be preferable to store an approximation to the Jacobian rather than an approximation to the inverse Jacobian. The main reason is that when the Jacobian is sparse and the locations of the zeroes are known, the updating procedure can be made more efficient for the approximate Jacobian than for the approximate inverse Jacobian.Keywords
This publication has 3 references indexed in Scilit:
- Quasi- Newton Methods for Nonlinear EquationsJournal of the ACM, 1968
- A Class of Methods for Solving Nonlinear Simultaneous EquationsMathematics of Computation, 1965
- An Algorithm for Solving Non-Linear Equations Based on the Secant MethodThe Computer Journal, 1965