Solving Systems of Linear Equations Via Gradient Systems With Discontinuous Righthand Sides : Application to LS-SVM  

Oleh:

Kaszkurewicz, E. ; Bhaya, A. ; Ferreira, L. V.

Jenis: Article from Journal - ilmiah internasional
Dalam koleksi: IEEE Transactions on Neural Networks vol. 16 no. 2 (Mar. 2005), page 501-504.
Topik: linear equations; gradient systems; discontinous righthand sides; LS - SVM

Ketersediaan

Perpustakaan Pusat (Semanggi) Nomor Panggil: II36.12 Non-tandon: 1 (dapat dipinjam: 0) Tandon: tidak ada

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Isi artikel

A gradient system with discontinuous righthand side that solves an underdetermined system of linear equations in the L1 norm is presented. An upper bound estimate for finite time convergence to a solution set of the system of linear equations is shown by means of the Persidskii form of the gradient system and the corresponding nonsmooth diagonal type Lyapunov function. This class of systems can be interpreted as a recurrent neural network and an application devoted to solving least squares support vector machines (LS - SVM) is used as an example.

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