Alternatively, the solution set may be obtained through the equation semantics =-=[27]-=-. We use linear programming methods to compute the extreme values of a linear approximation. This results in a box enclosure B containing SðMÞ. Using the quadratic approximation results from [28], ...
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 ...
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 ...
We propose a quantum inverse iteration algorithm, which can be used to estimate ground state properties of a programmable quantum device. The method relies on the inverse power iteration technique, where the sequential application of the Hamiltonian inve
This equation implies that θq is an integer multiple of 2π. That is, without loss of generality, θq = 2πp, where p is a non-negative integer between 0 and q − 1. Therefore, $$\theta =\frac{2\pi p}{q},$$ (15) which implies that θ ∈ Fq ⊆ Fn, as required....
This hydraulic problem requires a set of \(n_{{\text{n}}} *n_{{\text{l}}}\) (being \(n_{{\text{n}}}\) and \(n_{{\text{l}}}\) the number of nodes and links of the PIN) quadratic equations that must satisfy the equation of conservation of mass and energy are solved ...
the set of all n ×n positive definite symmetric matrices, which is a differentiable manifold of dimension n(n +1)/2. Here x > 0 means the quadratic form z T xz > 0 for all z ∈ R n \{0}. Furthermore, PD(n) is an open convex cone, namely, if x 1 and x 2 are...
The algorithm, which is developed from a quadratic cost function basis, splits the problem of cost function minimization into a linear first step and a nonlinear second step by defining new first-step states that are nonlinear combinations of the unknown states. Estimates of the first-step ...
The filtering algorithm is one of powerful procedures. In this study, filtering algorithms based on the Kalman filter and the projection filter are employed as procedures to solve the inverse problem. This inverse problem of one-dimensional heat conduction equation is discussed with the filtering ...
Equation (8.7) is equivalent to the down recurrence. Hence the functions {Sλd(u,v)} constructed from discrete convolution are indeed the blending functions for an S-patch of depth d whose domain is the convex polygon with ordered vertices Q1,…,Qn and whose indexing set is Id. Moreover...