TitleSymbolic Algebraic Methods and Verification Methods [electronic resource] / edited by Gรถtz Alefeld, Jiลรญ Rohn, Siegfried Rump, Tetsuro Yamamoto
ImprintVienna : Springer Vienna : Imprint: Springer, 2001
Connect tohttp://dx.doi.org/10.1007/978-3-7091-6280-4
Descript IX, 266 p. 16 illus. online resource

CONTENT

Topological Concepts for Hierarchies of Variables, Types and Controls -- Modifications of the Oettli-Prager Theorem with Application to the Eigenvalue Problem -- Symbolic-Numeric Algorithms for Polynomials: Some Recent Results -- Symbolic-Numeric QD-Algorithms with Applications in Function Theory and Linear Algebra -- On the Isoefficiency of the Parallel Descartes Method -- Matrix Methods for Solving Algebraic Systems -- A Feasibility Result for Interval Gaussian Elimination Relying on Graph Structure -- Solution of Systems of Polynomial Equations by Using Bernstein Expansion -- Symbolic-Algebraic Computations in Modeling Language for Mathematical Programming -- Translation of Taylor Series into LFT Expansions -- Quasi Convex-Concave Extensions -- Rewriting, Induction and Decision Procedures: A Case Study of Presburger Arithmetic -- Derivative-Based Sub division in Multi-dimensional Verified Gaussian Quadrature -- On the Shape of the Fixed Points of [f]([x]) = [A][x] + [b] -- Exact Computation with leda_real - Theory and Geometrie Applications -- Numerical Verification Method for Solutions of Nonlinear Hyperbolic Equations -- Geometric Series Bounds for the Local Errors of Taylor Methods for Linear n-th-Order ODEs -- Safe Numerical Error Bounds for Solutions of Nonlinear Elliptic Boundary Value Problems -- Fast Verification Algorithms in MATLAB -- The Linear Complementarity Problem with Interval Data -- Some Numerical Methods for Nonlinear Least Squares Problems -- A New Insight of the Shortley-Weller Approximation for Diriehlet Problems -- How Orthogonality is Lost in Krylov Methods


SUBJECT

  1. Mathematics
  2. Arithmetic and logic units
  3. Computer
  4. Computers
  5. Computer science -- Mathematics
  6. Algebra
  7. Algorithms
  8. Numerical analysis
  9. Mathematics
  10. Numerical Analysis
  11. Algebra
  12. Theory of Computation
  13. Algorithms
  14. Symbolic and Algebraic Manipulation
  15. Arithmetic and Logic Structures