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A new algorithm for computing the multivariate Faà di Bruno's formula
multivariate composite function Fa`a di Bruno’s formula multivariate cumulant
2011/3/1
A new algorithm for computing the multivariate Fa`a di Bruno’s formula is provided.We use a symbolic approach based on the classical umbral calculus that turns the computation of the multivariate Fa`a...
Canonical lossless state-space systems: Staircase forms and the Schur algorithm
Lossless systems input normal forms output normal forms balanced canonical forms
2011/2/21
A new finite atlas of overlapping balanced canonical forms for multivariate discrete-time lossless systems is presented. The canonical forms have the property that the controllability matrix is positi...
Balanced realizations of discrete-time stable all-pass systems and the tangential Schur algorithm
Balanced realizations of discrete-time stable all-pass systems tangential Schur algorithm
2011/2/21
In this paper, the connections are investigated between two different approaches towards
the parametrization of multivariable stable all-pass systems in discrete-time. The first approach involves the...
Extension of the Blahut-Arimoto algorithm for maximizing directed information
Extension of the Blahut-Arimoto algorithm directed information
2011/2/25
We extend the Blahut-Arimoto algorithm for maximizing Massey’s directed information. The algorithm can be used for estimating the capacity of channels with delayed feedback, where the feedback is a de...
Improving PPM Algorithm Using Dictionaries
Text compression Markov model PPM Dictionary model
2011/2/22
We propose a method to improve traditional character-based PPM text compression algorithms. Consider a text file as a sequence of alternating words and non-words, the basic idea of our algorithm is to...
Fast and accurate con-eigenvalue algorithm for optimal rational approximations
Fast accurate con-eigenvalue algorithm optimal rational approximations
2011/2/21
The need to compute small con-eigenvalues and the associated con-eigenvectors of
positive-definite Cauchy matrices naturally arises when constructing rational approximations with an optimally small L...
A new algorithm for minimum path in a network
Network optimization Shortest path Minimum path Path labeling algorithm
2010/11/1
A new algorithm namely, path labeling algorithm for finding the minimum path from a specified node to other nodes in a network having crisp or imprecise weights is introduced. The proposed algorithm i...
Poset pinball, the dimension pair algorithm, and type A regular nilpotent Hessenberg varieties
Poset pinball the dimension pair algorithm type regular nilpotent Hessenberg varieties
2011/2/22
In thismanuscript we develop the theory of poset pinball, a combinatorial game recently introduced by Harada and Tymoczko for the study of the equivariant cohomology rings of GKM-compatible subspaces ...
Algorithm for strengthening some cryptographic systems
Cryptography JV theorem DES Triple-DES
2010/9/21
In the present work a field is built on the set of permutations, using the construction of a bijection, Im, which goes from the set Nm = {n ∈ N|0 ≤ n ≤ m! − 1} to the set Πm = {π| π is a permuta...
A new algorithm for computing the multivariate Faà di Bruno's formula
algorithm computing multivariate Faà di Bruno's formula
2011/1/4
A new algorithm for computing the multivariate Fa\`a di Bruno's formula is provided. We use a symbolic approach based on the classical umbral calculus that turns the computation of the multivariate Fa...
An efficient algorithm for solving system of nonlinear equations
System of Non-Linear Equations Convergence Conditions of Adomian Decomposition Method
2010/9/20
In this paper, the accounting of the answers of a system of nonlinear equations is considered and a new algorithm based on the method of Adomian decomposition convergence basis for solving functional ...
A new algorithm for finding a fuzzy optimal solution for fuzzy transportation problems
Fuzzy transportation problem Trapezoidal fuzzy numbers
2010/9/20
A new algorithm namely, fuzzy zero point method is proposed for finding a fuzzy optimal solution for a fuzzy transportation problem where the transportation cost, supply and demand are trapezoidal fuz...
The discrete time-cost-quality trade-off problem using a novel hybrid genetic algorithm
Time cost quality trade-off Project scheduling
2010/9/26
Time, cost and quality are among the major objectives of any project .In recent years, the demands of project stakeholders regarding reductions in the total cost and time of a project along with achie...
An algorithm to enhance elliptic curves scalar multiplication combining MBNR with point halving
Elliptic curves cryptography Integer representation
2010/9/25
Elliptic curves (EC) scalar multiplication over some finite fields, is an attractive research area, and it has been paid much attention by researchers in the recent years. Researchs still in progress ...
Improvements on Cantor-Zassenhaus Factorization Algorithm
Polynomial factorization Cantor-Zassenhaus
2011/2/25
After revisiting Cantor-Zassenhaus polynomial factorization algorithm, we describe a new
simplified version of it, which requires less computational cost.
