Symbolic-numeric computation / Dongming Wang, Lihong Zhi, editors.
نوع المادة : نصالناشر:Boston : Birkhauser Verlag AG Basel Boston Berlin, [2007]تاريخ حقوق النشر: ©2007وصف:viii, 394 pages : illustrations ; 24 cmنوع المحتوى:- text
- unmediated
- volume
- 9783764379834
- 3764379839
- QA9.59 .S96 2007
نوع المادة | المكتبة الحالية | رقم الطلب | رقم النسخة | حالة | تاريخ الإستحقاق | الباركود | |
---|---|---|---|---|---|---|---|
كتاب | UAE Federation Library | مكتبة اتحاد الإمارات General Collection | المجموعات العامة | QA9.59 .S96 2007 (إستعراض الرف(يفتح أدناه)) | C.1 | Library Use Only | داخل المكتبة فقط | 300100313403 |
Browsing UAE Federation Library | مكتبة اتحاد الإمارات shelves, Shelving location: General Collection | المجموعات العامة إغلاق مستعرض الرف(يخفي مستعرض الرف)
QA9.58 .E36 2008 How to think about algorithms / | QA9.58 .S454 2019 Design and analysis of algorithms : a contemporary perspective / | QA9.58 .S454 2019 Design and analysis of algorithms : a contemporary perspective / | QA9.59 .S96 2007 Symbolic-numeric computation / | QA9.6 .G66 2010 Recursive analysis / | QA9.64 .C667 2013 Contemporary theory and pragmatic approaches in fuzzy computing utilization / | QA9.64 .C667 2013 Contemporary theory and pragmatic approaches in fuzzy computing utilization / |
Includes bibliographical references and index.
The 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.
On 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{u2019}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{u2019}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.