Gurvits, Leonid. <br/><br/>
Randomization, Relaxation, and Complexity in Polynomial Equation Solving. 

 - 1st ed. 
 - 1 online resource (230 pages) 
 - Contemporary Mathematics ;  v.556 .
 - Contemporary Mathematics .
<br/><br/>Intro -- Contents -- Preface -- Multivariate Ultrametric Root Counting -- A Parallel Endgame -- Efficient Polynomial System Solving by Numerical Methods -- Symmetric Determinantal Representation of Formulas and Weakly Skew Circuits -- Mixed Volume Computation in Solving Polynomial Systems -- A Search for an Optimal Start System for Numerical Homotopy Continuation -- Complex Tropical Localization, and Coamoebas of Complex Algebraic Hypersurfaces -- 1. Introduction -- 2. Preliminaries -- 3. Complex tropical hypersurfaces with a simplex Newton polytope -- 4. Tropical mirror hypersurfaces -- 5. Coamoebas of complex tropical hypersurfaces -- 6. Coamoebas of complex algebraic hypersurfaces -- 7. Examples of complex algebraic plane curves coamoebas -- References -- Randomization, Sums of Squares, Near-Circuits, and Faster Real Root Counting -- Dense Fewnomials -- The Numerical Greatest Common Divisor of Univariate Polynomials. 
<br/><br/><label>ISBN: </label>9780821882351 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Number theory -- Congresses.<br/>Algorithms -- Congresses.<br/>Geometry, Algebraic -- Congresses.
<br/><br/><label>Index Terms--Genre/Form: </label><br/>Electronic books.
<br/><br/><label>LC Class. No.: </label>QA241 -- .R27 2011eb 
<br/><br/><label>Dewey Class. No.: </label>512.9/422