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Questions tagged [nonlinear]

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2 votes
1 answer
132 views

Weights for equidistant samples in power law fitting

I am working on fitting analytical curves to experimental data obtained in real viscoelastic tests (in fact, static creep tests). The setting of the problem is: the experimental data I have is a set ...
ren1's user avatar
  • 23
2 votes
0 answers
129 views

Is the Hessian of the strain energy of a hyperelastic material positive definite in general

Is the spatial second derivative of the strain energy of a hyperelastic material positive definite in general? If this is not a general property of hyperelastic materials are there techniques for ...
Olumide's user avatar
  • 275
3 votes
0 answers
139 views

Are there better methods than Levenberg-Marquardt for large-scale nonlinear least squares problems?

I am using Levenberg-Marquardt to solve a nonlinear least squares problem with 16 million residuals and about a million variables. I have a fast matrix vector product for both the Jacobian and its ...
Amit Hochman's user avatar
  • 1,081