Michel. A global filtering algorithm for handling systems of quadratic equations and inequations. volume 2470 of Lecture Notes in Computer Science, pages 109-123, 2002.Lebbah, Y., Rueher, M. and Michel, C. (2003) `A global filtering algorithm for handling systems of quadratic equations and...
for Hammerstein state time-delay models. Let E denote an expectation operator and ||X||2≔tr[XXT] be the norm of the matrix X. Since v(t) is a white noise, forming a quadratic cost function, J1(θ)=E[‖y(t)−φT(t)θ‖2], and minimizing J1(θ) lead to the following sto...
This study introduces an enhanced self-adaptive wild goose algorithm (SAWGA) for solving economical-environmental-technical optimal power flow (OPF) problems in traditional and modern energy systems. Leveraging adaptive search strategies and robust diversity capabilities, SAWGA distinguishes itself from clas...
Here we favor the original quadratic formulation, since we explicitly need the filling-in effect of a nonrobust regularizer to fill in the information in masked regions. To overcome the problem of having a nonconvex energy in (13.5), the coarse-to-fine warping scheme can be used as ...
While the solution to deriving the roots of the general quadratic equation is adequately covered in a typical classroom environment, the same is not true for the general cubic and quartic equations. To the best of our knowledge, we do not see the roots of the general cubic or quartic equatio...
The two-step estimator is shown to be optimal for static problems in which the time variation of the measurement equation can be separated from the unknowns. This method is then generalized by approximating the nonlinearity as a perturbation of the dynamic update, while keeping the measurement ...
In this paper, we introduce a new iterative algorithm for solving a generalized Sylvester matrix equation of the form $\sum_{t=1}^{p}A_{t}XB_{t}=C$ which includes a class of linear matrix equations. The objective of the algorithm is to minimize an error
For quantum systems a similar idea was proposed in ref., 33 where Fourier approximation of the Hamiltonian inverse was presented as a double integral of the unitary propagator. This was further used to design an efficient solver for the quantum linear equation system problem.33,34 Here we ...
It includes algorithms such as Shor's algorithm, Grover's algorithm, Deutsch-Jozsa algorithm, Simon's algorithm, and Bernstein-Vazirani algorithm, which provide exponential or quadratic speedup for solving specific problems. These algorithms have applications in various areas of computer science. AI ...
Filter gain for Kalman filtering algorithm based on Wiener filter: (6)Bt=R^t/t−1MtTMtR^t/t−1MtT+Qt−1 Filter gain for new type filtering algorithm based on projection filter: (7)Bt=MtTQt−1Mt−1MtTQt−1 Covariant matrix equation of estimation error for Kalman filtering algori...