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Can I read Steepest Descent Using Smoothed Gradients on EtoBox?
Steepest Descent Using Smoothed Gradients by Walter B. Richardson Jr. is a Mathematics article available to read on EtoBox.
What is Steepest Descent Using Smoothed Gradients about?
This paper reviews solving dierential equations using the least-squares steepest descent method with Sobolev gradients. The method's superiority over standard steepest descent with a Euclidean gradient is explained in terms of stability and the classical Courant±Freiderichs±Lewy condition for the path of steepest descent. The spectra for several of the operators arising from a cononical example are also computed. Kantorovich's inequality then gives explicit estimates on the rate of convergence for the two processes. In this way, use of the Sobolev gradient is viewed as a very eective preconditioning strategy for the linear part of the dierential equation.
Who reads Steepest Descent Using Smoothed Gradients?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Walter B. Richardson Jr.
- Publisher
- Elsevier Science; Elsevier ; Elsevier BV (ISSN 0096-3003)
- Published
- 2000
- Language
- EN
- Field
- Mathematics (Physical Sciences)