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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

Modification of a quasi-Newton method for nonlinear equations with a sparse Jacobian


Author: L. K. Schubert
Journal: Math. Comp. 24 (1970), 27-30
MSC: Primary 65.50
MathSciNet review: 0258276
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Abstract | References | Similar Articles | Additional Information

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.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1970-0258276-9
PII: S 0025-5718(1970)0258276-9
Keywords: Quasi-Newton method, nonlinear simultaneous equations, approximation to Jacobian, nonlinear differential equations
Article copyright: © Copyright 1970 American Mathematical Society



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