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Stability of JungckType Iterative Procedures,
 Internatioal J. Math. & Math. Sc.
, 2005
"... We introduce and discuss the stability of Jungck and JungckMann iterative procedures for a pair of JungckOsiliketype maps on an arbitrary set with values in a metric or linear metric space. ..."
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We introduce and discuss the stability of Jungck and JungckMann iterative procedures for a pair of JungckOsiliketype maps on an arbitrary set with values in a metric or linear metric space.
CONVERGENCE THEORY FOR ITERATIVE PROCEDURES
"... We thank a CoEditor and two referees for comments and criticisms that led to signicant improvements in this paper. We also thank Roger Klein for providing us with Gauss code to compute his estimator. 1 ..."
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We thank a CoEditor and two referees for comments and criticisms that led to signicant improvements in this paper. We also thank Roger Klein for providing us with Gauss code to compute his estimator. 1
Iterative Procedure for Hypersums of Powers of Integers
, 2014
"... Abstract Relying on a recurrence relation for the hypersums of powers of integers put forward recently, we develop an iterative procedure which allows us to express a hypersum of arbitrary order in terms of ordinary (zeroth order) power sums. Then, we derive the coefficients of the hypersum polynom ..."
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Abstract Relying on a recurrence relation for the hypersums of powers of integers put forward recently, we develop an iterative procedure which allows us to express a hypersum of arbitrary order in terms of ordinary (zeroth order) power sums. Then, we derive the coefficients of the hypersum
Summable almost stability of fixed point iteration procedures
, 2003
"... A finer concept of almost stability for fixed point iteration procedures is introduced and studied. We show that Picard, Kirk’s, Mann and Ishikawa iteration procedures, which are known to be almost stable and stable with respect to some classes of contractive operators, are also summably almost stab ..."
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A finer concept of almost stability for fixed point iteration procedures is introduced and studied. We show that Picard, Kirk’s, Mann and Ishikawa iteration procedures, which are known to be almost stable and stable with respect to some classes of contractive operators, are also summably almost
Iterative Procedure for Uniform Continuous Mapping.
"... Let K be a closed convex nonempty subset of a normed linear space E and let {}N ii T 1 = be a finite family of self maps on K such that T1 is a uniformly continuous uniformly hemicontractive map and T1(K) is a bounded set with φ≠ = =))( ( 1 i N i TFF I, sufficient conditions for the strong converg ..."
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convergence of an Nstep iteration process to a fixed common point of the family are proved
Iterative procedure for multidimensional Euler equations
"... this paper. It is sometimes useful to introduce the integral substitution y = x which transforms (1.14) into ae(t n + #x) = (aev i )(t n + #x) = x i y i f n (y# y# (1.16) + 3 Z ;1 2 y) 1 T (t n # y) y: 2 Deterministic integration method, Par ..."
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this paper. It is sometimes useful to introduce the integral substitution y = x which transforms (1.14) into ae(t n + #x) = (aev i )(t n + #x) = x i y i f n (y# y# (1.16) + 3 Z ;1 2 y) 1 T (t n # y) y: 2 Deterministic integration method, Part I : The trapezoidal rule In this section we apply the trapezoidal rule to the integral representations (1.14). At the beginning we need a suOEciently large rectangular domain (2.1) so that the Maxwellian f n (y# c) in (1.15) is suOEciently small outside of R
Discrete signals constructed through the multiplicative iterative procedure
"... The specific features of signals generated by the multiplicative iterative procedure and of their discrete Fourier transforms are discussed. It is shown that such signals exhibit the property of selfaffinity in the time and the frequency domain. Several examples of multiplicative signals and of the ..."
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The specific features of signals generated by the multiplicative iterative procedure and of their discrete Fourier transforms are discussed. It is shown that such signals exhibit the property of selfaffinity in the time and the frequency domain. Several examples of multiplicative signals
Greedy Randomized Adaptive Search Procedures
, 2002
"... GRASP is a multistart metaheuristic for combinatorial problems, in which each iteration consists basically of two phases: construction and local search. The construction phase builds a feasible solution, whose neighborhood is investigated until a local minimum is found during the local search phas ..."
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Cited by 647 (82 self)
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GRASP is a multistart metaheuristic for combinatorial problems, in which each iteration consists basically of two phases: construction and local search. The construction phase builds a feasible solution, whose neighborhood is investigated until a local minimum is found during the local search
An iterative method for the solution of the eigenvalue problem of linear differential and integral
, 1950
"... The present investigation designs a systematic method for finding the latent roots and the principal axes of a matrix, without reducing the order of the matrix. It is characterized by a wide field of applicability and great accuracy, since the accumulation of rounding errors is avoided, through the ..."
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Cited by 537 (0 self)
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the process of "minimized iterations". Moreover, the method leads to a well convergent successive approximation procedure by which the solution of integral equations of the Fredholm type and the solution of the eigenvalue problem of linear differential and integral operators may be accomplished. I.
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