Hybrid Conjugate Gradient Algorithm for
โ Scribed by N. Andrei
- Publisher
- Springer
- Year
- 2008
- Tongue
- English
- Weight
- 698 KB
- Volume
- 141
- Category
- Article
- ISSN
- 0022-3239
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## Abstract MRI gradient coil design is a type of nonlinear constrained optimization. A practical problem in transverse gradient coil design using the conjugate gradient descent (CGD) method is that wire elements move at different rates along orthogonal directions (__r, ฯ, z__), and tend to cross,
In this paper, we propose two new hybrid nonlinear conjugate gradient methods, which produce sufficient descent search direction at every iteration. This property depends neither on the line search used nor on the convexity of the objective function. Under suitable conditions, we prove that the prop