000 03965nam a22004575i 4500
001 978-3-7643-7984-1
003 DE-He213
005 20161121231132.0
007 cr nn 008mamaa
008 100301s2007 sz | s |||| 0|eng d
020 _a9783764379841
_9978-3-7643-7984-1
024 7 _a10.1007/978-3-7643-7984-1
_2doi
050 4 _aQA297-299.4
072 7 _aPBKS
_2bicssc
072 7 _aMAT021000
_2bisacsh
072 7 _aMAT006000
_2bisacsh
082 0 4 _a518
_223
245 1 0 _aSymbolic-Numeric Computation
_h[electronic resource] /
_cedited by Dongming Wang, Lihong Zhi.
264 1 _aBasel :
_bBirkhäuser Basel,
_c2007.
300 _aVIII, 395 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aTrends in Mathematics
505 0 _aOn a Generalized Companion Matrix Pencil for Matrix Polynomials Expressed in the Lagrange Basis -- Ill-conditioned Properties and Hybrid Computations -- Rational Interpolation and Its Ill-conditioned Property -- Computing Approximate GCD of Multivariate Polynomials -- Structured Low Rank Approximation of a Sylvester Matrix -- Implementation of Fast Low Rank Approximation of a Sylvester Matrix -- New Algorithms for Exact and Approximate Polynomial Decomposition -- Amortized Bound for Root Isolation via Sturm Sequences -- An Algorithm of Real Root Isolation for Polynomial Systems with Applications to the Construction of Limit Cycles -- An Algebraic Method for Separating Close-Root Clusters and the Minimum Root Separation -- On the Location of Zeros of an Interval Polynomial -- Root-Finding with Eigen-Solving -- Galois Theory via Eigenvalue Methods -- Pythagore’s Dilemma, Symbolic-Numeric Computation, and the Border Basis Method -- Proposal for the Algorithmic Use of the BKK-Number in the Algebraic Reduction of a O-dimensional Polynomial System -- Evaluation of Jacobian Matrices for Newton’s Method with Deflation to Approximate Isolated Singular Solutions of Polynomial Systems -- On Approximate Linearized Triangular Decompositions -- On the Extended Iterative Proportional Scaling Algorithm -- Preprocessing for Finite Element Discretizations of Geometric Problems -- Symbolic Computation Sequences and Numerical Analytic Geometry Applied to Multibody Dynamical Systems -- A Symbolic-Numeric Approach to an Electric Field Problem -- Financial Applications of Symbolically Generated Compact Finite Difference Formulae -- Symbolic Analyzer for Large Lumped and Distributed Networks.
520 _aThe growing demand of speed, accuracy, and reliability in scientific and engineering computing has been accelerating the merging of symbolic and numeric computations, two types of computation coexisting in mathematics yet separated in traditional research of mathematical computation. This book with 23 chapters presents original research and tutorial survey on the integration and interaction of symbolic and numeric computations. It represents the current state of the art and will serve as a valuable reference on the development of algorithms and software packages for hybrid symbolic-numeric computation. The book highlights the interaction between symbolic and numeric computations. It contains tutorial surveys by distinguished experts, covers recent advances on key topics, and provides effective methods illustrated with applications.
650 0 _aMathematics.
650 0 _aNumerical analysis.
650 1 4 _aMathematics.
650 2 4 _aNumerical Analysis.
700 1 _aWang, Dongming.
_eeditor.
700 1 _aZhi, Lihong.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783764379834
830 0 _aTrends in Mathematics
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-7643-7984-1
912 _aZDB-2-SMA
950 _aMathematics and Statistics (Springer-11649)
999 _c509092
_d509092