An inverse-free dynamical system for solving the absolute value equations

Absolute value equations

O. L. Mangasarian, R. R. Meyer · Linear Algebra and its Applications · 2006 · 336 citations

A generalized Newton method for absolute value equations

O. L. Mangasarian · Optimization Letters · 2008 · 274 citations

Natural Sciences, Mathematics, Differential Equations +6

Absolute value programming

O. L. Mangasarian · Computational Optimization and Applications · 2006 · 242 citations

A theorem of the alternatives for the equation<i>Ax</i>+<i>B</i>|<i>x</i>| =<i>b</i>

Linear and Multilinear Algebra · 2004 · 232 citations

Natural Sciences, Mathematics, Applied Mathematics +12

On equivalent reformulations for absolute value equations

Oleg A. Prokopyev · Computational Optimization and Applications · 2007 · 178 citations

Natural Sciences, Mathematics, Applied Mathematics +3