Results 291 to 300 of about 219,337 (309)

Approximating Points by a Piecewise Linear Function

Algorithmica, 2009
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Chen, Danny Z., Wang, Haitao
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Fitting piecewise linear continuous functions

European Journal of Operational Research, 2012
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Toriello, Alejandro, Vielma, Juan Pablo
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Piecewise Linear Approximation of Multivariate Functions

Bell System Technical Journal, 1982
To approximate functions of a single variable by using linear interpolation is routine in empirical studies. Here, we consider approximating functions of several variables in a similar piecewise linear manner. We focus on the nontrivial part of this technique, which is that of choosing the appropriate “pieces” for the piecewise linear approximation ...
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Piecewise smooth extreme functions are piecewise linear

Mathematical Programming, 2018
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Stabilization of orthogonal piecewise linear systems using piecewise linear Lyapunov-like functions

Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171), 2002
In this paper the problem of asymptotic stabilization of orthogonal piecewise linear (OPL) systems is considered. OPL systems arise when the state-space is partitioned into a number of distinct regions by hyperplanes orthogonal to the states. Different regions possess different continuous linear affine dynamics.
C.A. Yfoulis, A. Muir, N.B.O.L. Pettit, P.E. Wellstead   +3 more
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Duopoly with Piecewise Linear Discontinuous Reaction Functions

2002
In the previous Chapter (Section 5) we have considered a variant of Palander’s model of duopoly with kinked demand, and decreasing marginal costs. In the original model, with constant, or even zero, marginal costs no more interesting dynamics than periodic orbits can occur. This is because the resulting slopes of the reaction functions are too low.
I. SUSHKO, GARDINI, LAURA, T. PUU
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Linear filtering and piecewise linear correlation functions

IEEE Transactions on Information Theory, 1969
Summary: For a class of piecewise linear correlation functions, it is shown that optimal linear mean-square filtering is achieved with a finite number of samples of the process for any finite observation interval. The class of correlation functions is defined by a particular property of the points at which they change slope.
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Pattern Recognition by Piecewise Linear Discriminant Functions

IEEE Transactions on Computers, 1973
A piecewise linear function is represented in terms of a set of linear functions through the use of the maximum and minimum functions. A procedure for finding piecewise linear discriminant functions for pattern recognition is described. The procedure iteratively uses the accelerated relaxation method to find every linear function in a piecewise linear ...
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Optimal Curve Fitting With Piecewise Linear Functions

IEEE Transactions on Computers, 1971
A method is described for determining an optimal straight-line segment approximation to specified functions for constrained and unconstrained endpoints.
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Chebyshev coefficients for piecewise linear functions

Proceedings of the IEEE, 1967
Tables are presented which make possible quick approximation of a curve by a series of Chebyshev polynomials: f(x) ≈ a 0 /2 Σ i = 1 na i T i (x); n max = 10 The given curve is replaced by linear pieces between 21 equidistant points in the interval 〈- 1; + 1〉.
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