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Record Nr. |
UNINA9910788635303321 |
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Titolo |
Randomization, relaxation, and complexity in polynomial equation solving : Banff International Research Station Workshop on Randomization, Relaxation, and Complexity, February 28-March 5, 2010, Banff, Ontario, Canada / / Leonid Gurvits [and three others], editors |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , [2011] |
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©2011 |
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ISBN |
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0-8218-8235-X |
0-8218-8380-1 |
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Descrizione fisica |
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1 online resource (230 p.) |
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Collana |
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Contemporary mathematics, ; 556 , 0271-4132 |
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Classificazione |
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11Y1612Y0514M2514P2514Q2014T0552B5565H0465Y20 |
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Disciplina |
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Soggetti |
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Number theory |
Algorithms |
Geometry, Algebraic |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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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. |
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