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Process Algebra with Iteration and Nesting [PDF]

open access: yesThe Computer Journal, 1994
We introduce iteration in process algebra by means of (the original, binary version of) Kleene's star operation: x * y is the process that chooses between x and y, and upon termination of x has this choice again. We add this operation to a whole range of process algebra axiom systems, starting from BPA (Basic Process Algebra).
Bergstra, J.A., Bethke, I., Ponse, A.
openaire   +4 more sources

Nonstationary iterative processes

open access: yesCoRR, 2019
In this paper we present iterative methods of high efficiency by the criteria of J. F. Traub and A. M. Ostrowski. We define {\it s-nonstationary iterative processes} and prove that, for any one-point iterative process without memory, such as, for example, Newton's, Halley's, Chebyshev's methods, there exists an s-nonstationary process of the same order,
Luba Sapir   +3 more
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A Nonconvergent Iterative Process [PDF]

open access: yesProceedings of the American Mathematical Society, 1953
where y *(x) =min (yn(x), 1). Under the additional assumption that G(y) satisfies a Lipschitz condition on [0, 1 ] they proved that the sequence yo(t), yi(t), * * * converges to a bounded solution,' y(t), of (1). Dr. Mann pointed out to me that it was not known whether or not the requirement of a Lipschitz condition was superfluous.
openaire   +1 more source

An Iterative Process for Approximating Subactions [PDF]

open access: yes, 2021
We describe a procedure based on the iteration of an initial function by an appropriated operator, acting on continuous functions, in order to get a fixed point. This fixed point will be a calibrated subaction for the doubling map on the circle and a fixed Lipschitz potential.
Ferreira, Hermes H.   +2 more
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An Iterative Process in the Problem of Plateau [PDF]

open access: yesTransactions of the American Mathematical Society, 1933
be small. The boundary conditions were also replaced by approximate conditions. I gave a direct construction for the approximate solutions; the exact solution was then obtained by a passage to the limit. The main purpose of the present paper is to develop an iterative process which produces automatically a sequence of approximate solutions. The idea of
openaire   +2 more sources

Iterative Signal Processing in Communications [PDF]

open access: yesJournal of Electrical and Computer Engineering, 2010
Iterative signal processing in communications has experienced an explosive rise in popularity in recent years. The catalytic origins of this paradigm-shifting new philosophy among communications experts can be traced to the invention of turbo coding, and the subsequent rediscovery of low-density parity check (LDPC) coding, both in the field of error ...
Christian Schlegel   +3 more
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Iterative Processing for Superposition Mapping [PDF]

open access: yesJournal of Electrical and Computer Engineering, 2010
Superposition mapping (SM) is a modulation technique which loads bit tuples onto data symbols simply via linear superposition. Since the resulting data symbols are often Gaussian‐like, SM has a good theoretical potential to approach the capacity of Gaussian channels.
Tianbin Wo   +3 more
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Iterative Processes [PDF]

open access: yesThe Mathematical Gazette, 1922
n ...
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On the stability of asynchronous iterative processes [PDF]

open access: yes1986 25th IEEE Conference on Decision and Control, 1986
The author studies the convergence properties of iterative processes in which one out of a finite set of possible operators (with a unique common fixed point) is applied at each step. For the case that the order at which the operators are applied is left free, except for the requirement that each operator is applied infinitely many times, he gives a ...
openaire   +2 more sources

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