Computations with Grossone-Based Infinities
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Publication:2945558
DOI10.1007/978-3-319-21819-9_6zbMath1465.68091OpenAlexW2231204350MaRDI QIDQ2945558
Publication date: 14 September 2015
Published in: Unconventional Computation and Natural Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-21819-9_6
Turing machinesinfinite setsinfinite sequencesnumerical infinities and infinitesimalsnumbers and numerals
Nonstandard models in mathematics (03H05) Error analysis and interval analysis (65G99) Other nonclassical models of computation (68Q09)
Related Items (11)
Infinite games on finite graphs using grossone ⋮ Infinite numerical computing applied to Hilbert's, Peano's, and Moore's curves ⋮ Nonlinear programming and grossone: quadratic programing and the role of constraint qualifications ⋮ Lexicographic multi-objective linear programming using grossone methodology: theory and algorithm ⋮ The Sierpinski curve viewed by numerical computations with infinities and infinitesimals ⋮ A new approach to the \(Z\)-transform through infinite computation ⋮ The exact measures of the Sierpiński \(d\)-dimensional tetrahedron in connection with a Diophantine nonlinear system ⋮ Infinite Games on Finite Graphs Using Grossone ⋮ A generalized Taylor method of order three for the solution of initial value problems in standard and infinity floating-point arithmetic ⋮ Non-Archimedean game theory: a numerical approach ⋮ Planar methods and grossone for the conjugate gradient breakdown in nonlinear programming
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