PhysicsA. Rojo, arXiv preprint arXiv:1004.2914, 2010, quant-ph, 1-6.A. G. Rojo, “Matrix Exponential Solution of the Landau-Zener Problem.” arXiv:1004.2914v1 [quant-ph]A. G. Rojo, Matrix exponential solution of the Landau-Zener problem, arxiv:quant- ph/1004.2914 (2010)....
Finding the ideal solution for high complexity optimization problems increases the cost (time, memory, etc.). The methods used in solving optimization problems are divided into two categories: deterministic and stochastic. Deterministic methods use gradient methods to reach the ideal solution. ...
The polynomial eigenvalue problem is a variant of the standard eigenvalue problem,Ax= λx, but instead involves polynomials rather than linear terms. As with the standard eigenvalue problem, the solution involves finding the eigenvalues and eigenvectors that satisfy the equation, ...
This problem involves finding the shortest closed tour (path) through a set of stops (cities). In this case there are 200 stops, but you can easily change the nStops variable to get a different problem size. You'll solve the initial problem and see that the solution has subtours. This...
As with the standard eigenvalue problem, the solution involves finding the eigenvalues and eigenvectors that satisfy the equation, (A0+λA1+…+λPAp)x=0 , where the polynomial degree, p, is a nonnegative integer, and A0,A1,...Ap are square coefficient matrices of order n. The most co...
where D is the number of fragments in the solution. 4.1.2 Smith-Waterman algorithm This is a dynamic program [21] based Local Sequence Alignment algorithm. This algorithm contains three steps: (a) matrix initialization, (b) filling the matrix with the suitable scores, and (c) sequence backtr...
What are the most popular ways? Techniques such as cost-benefit analysis, risk analysis, and decision matrix can effectively help evaluate possible solutions. 5. Select the best solution Techniques for selecting the best solution involve revisiting the evaluation criteria, weighing the advantages and ...
Solution Problem 62 This problem was asked by Facebook. There is an N by M matrix of zeroes. Given N and M, write a function to count the number of ways of starting at the top-left corner and getting to the bottom-right corner. You can only move right or down. ...
Unlike link-based algorithm, Algorithm B can achieve very precise solution by minimizing relative gap down to 1e-16. The main steps of the procedure are : Initialization bushes initialization : for each unique origin node of the OD matrix, an acyclic sub-network is created by computing ...
Alternative structures, such as a lattice matrix in which elements of the spatial weight matrix, wij, equal one if a property shares a border with the observation of interest, are also used. Specification of the spatial weights matrix continues to be one of the more controversial aspects of ...