LEADER 03211nam 2200613 450 001 9910788635303321 005 20220823063320.0 010 $a0-8218-8235-X 010 $a0-8218-8380-1 035 $a(CKB)3240000000070079 035 $a(EBL)3113335 035 $a(SSID)ssj0000629417 035 $a(PQKBManifestationID)11380081 035 $a(PQKBTitleCode)TC0000629417 035 $a(PQKBWorkID)10731308 035 $a(PQKB)11478636 035 $a(MiAaPQ)EBC3113335 035 $a(RPAM)16904729 035 $a(PPN)197108865 035 $a(EXLCZ)993240000000070079 100 $a20110805h20112011 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aRandomization, relaxation, and complexity in polynomial equation solving $eBanff International Research Station Workshop on Randomization, Relaxation, and Complexity, February 28-March 5, 2010, Banff, Ontario, Canada /$fLeonid Gurvits [and three others], editors 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2011] 210 4$dİ2011 215 $a1 online resource (230 p.) 225 1 $aContemporary mathematics,$v556$x0271-4132 300 $aDescription based upon print version of record. 311 $a0-8218-5228-0 320 $aIncludes bibliographical references and index. 327 $aContents -- Preface -- Multivariate Ultrametric Root Counting -- A Parallel Endgame -- Efficient Polynomial System Solving by Numerical Methods -- Symmetric Determinantal Representation of Formulas and Weakly Skew Circuits -- Mixed Volume Computation in Solving Polynomial Systems -- A Search for an Optimal Start System for Numerical Homotopy Continuation -- Complex Tropical Localization, and Coamoebas of Complex Algebraic Hypersurfaces -- 1. Introduction -- 2. Preliminaries -- 3. Complex tropical hypersurfaces with a simplex Newton polytope -- 4. Tropical mirror hypersurfaces -- 5. Coamoebas of complex tropical hypersurfaces -- 6. Coamoebas of complex algebraic hypersurfaces -- 7. Examples of complex algebraic plane curves coamoebas -- References -- Randomization, Sums of Squares, Near-Circuits, and Faster Real Root Counting -- Dense Fewnomials -- The Numerical Greatest Common Divisor of Univariate Polynomials. 410 0$aContemporary mathematics (American Mathematical Society).$v556$x0271-4132 606 $aNumber theory$vCongresses 606 $aAlgorithms$vCongresses 606 $aGeometry, Algebraic$vCongresses 615 0$aNumber theory 615 0$aAlgorithms 615 0$aGeometry, Algebraic 676 $a512.9/422 686 $a11Y16$a12Y05$a14M25$a14P25$a14Q20$a14T05$a52B55$a65H04$a65Y20$2msc 702 $aGurvits$b Leonid$f1957- 712 02$aBanff International Research Station for Mathematics Innovation & Discovery, 712 12$aBanff International Research Station Workshop on Randomization, Relaxation, and Complexity 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910788635303321 996 $aRandomization, relaxation, and complexity in polynomial equation solving$93816175 997 $aUNINA