The security of some cryptosystems is based on the difficulty of solving a quadratic modular equation. This paper shows a new algorithm for finding the small root of the quadratic modular equation. Whdoi:doi:10.1007/BFb0030410Hidenori KuwakadoHatsukazu TanakaH. Kuwa kado and H. Tanaka, ~ Fast algorithm for finding a small root of a...
Although some researchers have implemented genetic algorithms to find the roots of equations and compared the results with the results of classical algorithms [12], it is not the intent of this paper to go into that area. Finding the roots of an equation is a fundamental problem in engineering...
As shown in Section 8.1, the QR iteration algorithm for the symmetric eigenvalue decomposition can be directly applied to Eqs. (8.1)--(8.4) to find the SVD of A. However, the direct application requires the explicit formation of AA′ or [0AA′0], etc., which has hinder effect in both...
You might find these chapters and articles relevant to this topic. Chapter Boundary Value Identification Analysis in the Unsteady Heat Conduction Problem FILTERING ALGORITHM Generally, since the noise is added to the amount of observation and measurement in many cases, solution procedure in consideration...
The MEA algorithm has a population size of 1440, and there are five superior and temporary sub populations. For the algorithm to fully find the optimal individual, the number of iterations is set to 100. As the hidden layer setting lacks a theoretical foundation, this study sets the input ...
It is an alternative algorithm used to find the empirical Bayesian estimates of QTL effects. All properties of the empirical Bayesian method of Xu (2007) implemented through the simplex algorithm apply to the EM algorithm. These properties (for example, dealing with epistatic effects) have been ...
Summary: The security of multivariate public-key cryptography is largely determined by the complexity of solving multivariate quadratic equations over finite fields, a.k.a. the MQ problem. XL (eXtended Linearization) is an efficient algorithm for solving the MQ problem, so its running time is an...
Here, the lemmings will explore the search space according to the current position and the position of random individuals in the population to find habitats with abundant food resources, so as to obtain better living conditions and resources. Meanwhile, it is worth noting that the direction and ...
The only way to find out is by measuring and comparing the runtime: the amount of time it takes to run a program or piece of code. Keep in mind that increasing the runtime means the program is slowing down: the program is taking more time to do the same amount of work. (We also...
They can also be used to find the identified clusters. Parameter reliance: Apart from the requirement of specifying the number of clusters apriori, there are still other algorithm-sensitive parameters that are user-defined for many of the existing clustering algorithms for users to specify for the...