TY  - BOOK
AU  - Gurvits,Leonid
AU  - Pébay,Philippe
AU  - Rojas,J.Maurice
AU  - Thompson,David
TI  - Randomization, Relaxation, and Complexity in Polynomial Equation Solving
T2  - Contemporary Mathematics
SN  - 9780821882351
AV  - QA241 -- .R27 2011eb 
U1  - 512.9/422 
PY  - 2011///
CY  - Providence
PB  - American Mathematical Society
KW  - Number theory -- Congresses
KW  - Algorithms -- Congresses
KW  - Geometry, Algebraic -- Congresses
KW  - Electronic books
N1  - 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
UR  - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113335
ER  -