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Contemporary Algorithms for Solving Problems in Economics and Other Disciplines [Kõva köide]

  • Formaat: Hardback, 325 pages, kaal: 568 g
  • Ilmumisaeg: 17-Jul-2020
  • Kirjastus: Nova Science Publishers Inc
  • ISBN-10: 1536181285
  • ISBN-13: 9781536181289
Teised raamatud teemal:
  • Formaat: Hardback, 325 pages, kaal: 568 g
  • Ilmumisaeg: 17-Jul-2020
  • Kirjastus: Nova Science Publishers Inc
  • ISBN-10: 1536181285
  • ISBN-13: 9781536181289
Teised raamatud teemal:
"Numerous problems from diverse disciplines can be converted using mathematical modeling to an equation defined on suitable abstract spaces usually involving the n-dimensional Euclidean space or Hilbert space or Banach Space or even more general spaces. The solution of these equations is sought in closed form. But this is possible only in special cases. That is why researchers and practitioners use algorithms which seems to be the only alternative. Due to the explosion of technology, scientific and parallel computing, faster and faster computers become available. This development simply means that new optimized algorithms should be developed to take advantage of these improvements. There is exactly where we come in with our book containing such algorithms with application especially in problems from Economics but also from other areas such as Mathematical: Biology, Chemistry, Physics, Scientific, Parallel Computing, and also Engineering. The book can be used by senior undergraduate students, graduate students, researchers and practitioners in the aforementioned area in the class room or as a reference material. Readers should know the fundamentals of numerical functional analysis, economic theory, and Newtonian physics. Some knowledge of computers and contemporary programming shall be very helpful to the readers"--
Preface; Definition, Existence and Uniqueness of Equilibrium in
Oligopoly Markets; Numerical Methodology for Solving Oligopoly Problems;
Global Convergence of Iterative Methods with Inverses; Ball Convergence of
Third and Fourth Order Methods for Multiple Zeros; Local Convergence of Two
Methods for Multiple Roots Eight Order; Choosing the Initial Points for
Newtons Method; Extending the Applicability of an Ulm-Like Method under Weak
Conditions; Projection Methods for Solving Equations with a
Non-differentiable Term; Efficient Seventh Order of Convergence Solver; An
Extended Result of Rall-Type for Newtons Method; Extension of Newtons Method
for Cone Valued Operators; Inexact Newtons Method under Robinsons Condition;
Newtons Method for Generalized Equations with Monotone Operators; Convergence
of Newtons method and uniqueness of the solution for Banach Space Valued
Equations; Convergence of Newtons method and uniqueness of the solution for
Banach Space Valued Equations II; Extended Gauss-Newton Method: Convergence
and Uniqueness Results; Newtons Method for Variational Problems: Wangs
g-condition and Smales a-theory; Extending the Applicability of Newtons
Method; On the Convergence of a Derivative Free Method using Recurrent
Functions; Inexact Newton-like Method under Weak Lipschitz Conditions; Ball
Convergence Theorem for Inexact Newton Methods in Banach Space; Extending the
Semi-Local Convergence of a Stirling-Type Method; Newtons Method for Systems
of Equations with Constant Rank Derivatives; Extended Super-Halley Method;
Chebyshev-Type Method of Order Three; Extended Semi-Local Convergence of the
Chebyshev-Halley Method; Gauss-Newton-Type Schemes for Undetermined Least
Squares Problems; Glossary of Symbols.