000 02744nam a22003375a 4500
001 vtls000000827
003 VRT
005 20250102222810.0
008 081020s2005 nyu | 000 0 eng
010 _a2005-921469
020 _a3540243267 (alk. paper)
020 _a9783540243267
039 9 _a201402040048
_bVLOAD
_c201006271243
_dmalmash
_c200811051328
_dalawaid
_c200810201323
_dNoora
_y200810201320
_zNoora
050 _aQA218
_b.S655 2005
245 0 0 _aSolving polynomial equations :
_bfoundations, algorithms, and applications /
_c[edited by] Alicia Dickenstein, Ioannis Z. Emiris.
250 _a1st ed.
260 _aNew York :
_bSpringer,
_c2005.
300 _ax, 425 p. :
_bill. ;
_c24 cm.
440 0 _aAlgorithms and computation in mathematics,
_x1431-1550 ;
_v14
_910148
504 _aIncludes bibliographical references (p. [393]-418) and index.
505 _aA.Dickenstein, I.Z.Emiris: Preface.- 1 E.Cattani, A.Dickenstein: Introduction to Residues and Resultants.- 2 D.A.Cox: Solving Equations via Algebras.- 3 M.Elkadi, B.Mourrain: Symbolic-numeric Methods for Solving Polynomial Equations and Applications.- 4 A.Kehrein, M.Kreuzer, L.Robbiano: An Algebraist's View on Border Bases.- 5 M.Stillman: Tools for Computing primary Decompositions and Applications to Ideals Associated to Bayesian Networks.- 6 J.Sabia: Algorithms and Their Complexities.- 7 I.Z.Emiris: Toric Resultants and Applications to Geometric Modelling.- 8 A.J.Sommese, J.Verschelde, Ch.W.Wampler: Introduction to Numerical Algebraic Geometry.- 9 G.Cheze, A.Galligo: Four Lectures on Polynomial Absolute Factorization.- References.- Index.
520 _aThis book provides a general introduction to modern mathematical aspects in computing with multivariate polynomials and in solving algebraic systems. It presents the state of the art in several symbolic, numeric, and symbolic-numeric techniques, including effective and algorithmic methods in algebraic geometry and computational algebra, complexity issues, and applications ranging from statistics and geometric modelling to robotics and vision.Graduate students, as well as researchers in related areas, will find an excellent introduction to currently interesting topics. These cover Groebner and border bases, multivariate resultants, residues, primary decomposition, multivariate polynomial factorization, homotopy continuation, complexity issues, and their applications.
650 0 _aEquations
_xNumerical solutions.
_910149
650 0 _aPolynomials.
_910150
650 0 _aGeometry, Algebraic.
_910151
650 0 _aAlgorithms.
_910152
650 0 _aFactorization (Mathematics)
_910153
700 1 _aDickenstein, Alicia.
_910154
700 1 _aEmiris, Ioannis Z.
_910155
942 _2lcc
_n0
_cBK
999 _c3597
_d3597