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TitleSymbolic Algebraic Methods and Verification Methods [electronic resource] / edited by Gรถtz Alefeld, Jiล{153}รญ 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


Mathematics Arithmetic and logic units Computer Computers Computer science -- Mathematics Algebra Algorithms Numerical analysis Mathematics Numerical Analysis Algebra Theory of Computation Algorithms Symbolic and Algebraic Manipulation Arithmetic and Logic Structures



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