Highly accurate doubling algorithm for quadratic matrix equation from quasi-birth-and-death processDoubling algorithmQuasi-birth-and-death processNonnegative solutionEntrywise relative accuracySF1A highly accurate doubling algorithm to solve the most fundamental quadratic matrix equation in the quasi-birthand...
Solving Quadratic equation is one of the intrinsic interests as it is the simplest nonlinear equations. A novel approach for solving Quadratic Equation based on Genetic Algorithms (GAs) is presented. Genetic Algorithms (GAs) are a technique to solve problems which need optimization. Generation of ...
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...
Evaluation of Solving Time for Multivariate Quadratic Equation System Using XL Algorithm Over Small Finite Fields on GPUMultivariate public-key cryptographyXLGPGPUSummary: The security of multivariate public-key cryptography is largely determined by the complexity of solving multivariate quadratic equations ...
Whereas by now textbook examples of quantum algorithms with exponential and quadratic speed up for factoring and search serve as a great motivation,1 the estimates of gate counts are daunting, making them distant goals for the future fault-tolerant quantum computers.5 Recent developments in this ...
A naive Bayes formula (Equation 9.11) is used to calculate combined probabilities for all classes. In the formula, each classifier is treated as a discrete attribute (the conditional class probability given the classifier equals to the probability provided by the classifier). As in all naive ...
Through further analysis and solution of this equation, the ground state finding of the Ising model system is obtained. This test is based on the same small disturbance for initializing with different strategies of ζ . As shown in Fig. 5, no matter what the value of ζ is fixed, ...
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...
We address the numerical solution of the Dirichlet problem for a partial differential equation involving the Jacobian determinant in two dimensions of space. The problem consists in finding a vector-valued function such that the determinant of its gradient is given point-wise in a bounded domain, ...
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 in PD(n), so is x 1 +tx 2 for any t > 0. The exponential of any symmetric matrix is a positive definite symmetric ...