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» A fast natural Newton method
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ENTCS
2008
91views more  ENTCS 2008»
13 years 7 months ago
Newton's method and the Computational Complexity of the Fundamental Theorem of Algebra
Several different uses of Newton's method in connection with the Fundamental Theorem of Algebra are pointed out. Theoretical subdivision schemes have been combined with the n...
Prashant Batra
ICA
2004
Springer
14 years 24 days ago
Blind Deconvolution Using the Relative Newton Method
We propose a relative optimization framework for quasi maximum likelihood blind deconvolution and the relative Newton method as its particular instance. Special Hessian structure a...
Alexander M. Bronstein, Michael M. Bronstein, Mich...
SADM
2008
178views more  SADM 2008»
13 years 6 months ago
Fast Projection-Based Methods for the Least Squares Nonnegative Matrix Approximation Problem
: Nonnegative matrix approximation (NNMA) is a popular matrix decomposition technique that has proven to be useful across a diverse variety of fields with applications ranging from...
Dongmin Kim, Suvrit Sra, Inderjit S. Dhillon
SIAMSC
2010
155views more  SIAMSC 2010»
13 years 2 months ago
Quasi-Newton Methods on Grassmannians and Multilinear Approximations of Tensors
In this paper we proposed quasi-Newton and limited memory quasi-Newton methods for objective functions defined on Grassmannians or a product of Grassmannians. Specifically we defin...
Berkant Savas, Lek-Heng Lim
SIAMJO
2008
109views more  SIAMJO 2008»
13 years 7 months ago
A Regularized Smoothing Newton Method for Symmetric Cone Complementarity Problems
This paper extends the regularized smoothing Newton method in vector optimization to symmetric cone optimization, which provide a unified framework for dealing with the nonlinear ...
Lingchen Kong, Jie Sun, Naihua Xiu