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The eigenvalue-function pair of the 3D Schrödinger equation can be efficiently computed by use of high order, imaginary time propagators.

The proposed algorithm enjoys a closed-form solution in each iteration, which can be efficiently computed by the Lanczos sparse eigen-decomposition technique.

To do so, we describe the associated Dirichlet Neumann operator in terms of a Taylor series expansion where each term can be efficiently computed by a pseudo-spectral scheme using the fast Fourier transform.

which can be efficiently computed by related SDP technique [20].

The nodes and weights can be efficiently computed by using the approach proposed in [33].

The above property means that the watermarking LUT can be efficiently computed by relying on a fast Fourier transform.

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For a convolutional code, these probabilities are efficiently computed by means of the Bahl, Cocke, Jelinek, and Raviv (BCJR) algorithm [16], whose computational complexity is about three times as large as that of the Viterbi algorithm.

We show how the computation of several dynamics indicators, such as a fast chaos indicator (FLI) or a phase shift indicator in small neuron networks (Central Pattern Generators), can be efficiently computed on these architectures by means of the numerical ODE methods executed through OpenCL.

For speed-dependent acceleration bounds, the optimal feedrate admits a closed-form expression in terms of a novel transcendental function whose values may be efficiently computed, for use in real-time control, by a special algorithm.

Equation 7 can be efficiently computed using Dynamic Programming (DP), as summarized by Algorithm 1 below.

The equivalence is induced by a downward and an upward simulation relation, which can be efficiently computed.

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