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[2016-04-17]


[2016-04-17]

Compressive Conjugate Directions: Linear Theory

We present a powerful and easy-to-implement iterative algorithm for solving large-scale optimization problems that involve L1/total-variation (TV) regularization. The new method achieves fast convergence by trading off multiple applications of the modeling operator for the increased memory requirement of storing previous conjugate directions....display full article text


Maharramov, Levin. Compressive Conjugate Directions: Linear Theory (preprint in PDF)


[2015-06-03]


[2015-06-03]

Total-variation Minimization with Bound Constraints

We present a powerful and easy-to-implement algorithm for solving constrained optimization problems that involve L1/total-variation regularization terms, and both equality and inequality constraints....display full article text


Bound-constrained TV-regularized optimization


[2006-07-12]


[2006-07-12]

An Analogue of Kolmogorov-Petrovski-Piskunov Theorem for Quasilinear Parabolic Equations

The referenced paper presents an analogue of the famous Kolmogorov-Petrovski-Piskunov Theorem proved by Musa Maharramov for a Quasilinear Parabolic Equation (see the picture in the left pane). This paper has been presented by the author at a conference organised by the Siberian Department of the Russian Academy of Sciences in honour of Academician Lavrentyev.

Save the link as a .ps (PostScript) file.



[2006-07-01]


[2006-07-01]

Proof of an Analogue of KPP Theorem for Quasilinear Parabolic Equations

The referenced paper contains details of the proof of the statement presented in the paper above and some results of numerical modelling.

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