multivariate polynomial
Inverses of multivariate polynomial matrices using discrete convolution
... of polynomial matrices plays an important role in general theory of linear multi- dimensional ...univariate polynomial matrices this problem has been well studied (see [2] and its ...to multivariate ...
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SBIM(Q) - a Multivariate Polynomial Trapdoor Function over the Field of Rational Numbers
... SBIM(Q) is a public key cryptsystem of multivariate polynomial type. We found that SBIM(Q) has a moderate speed, comparable to today standard public key cryptsystems. Also, we found that a version of ...
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A Zero-Knowledge Proof Based on a Multivariate Polynomial Reduction of the Graph Isomorphism Problem
... a multivariate polynomial set, and consequently resistant to quantum computer ...this polynomial set is obtained considering instances of GI, we guarantee that the protocol is at least as secure as ...
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Computation of the Smith Form for Multivariate Polynomial Matrices Using Maple
... Quillen-Suslin Theorem can be used effectively to com- pute the Smith form and the associated unimodular transformations for a class of multivariate polynomial matrices. The classes of matrices considered ...
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Shape preserving multivariate polynomial approximation in C[−1,1]m
... construct multivariate polynomials attached to a function f of m variables, m ≥ 2, which approximate f with Jackson-type rate involving a multivariate Ditzian-Totik ω ϕ 2 -modulus and preserve some natural ...
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Improving accuracy of corneal power measurement with partial coherence interferometry after corneal refractive surgery using a multivariate polynomial approach
... One of the most widespread and reliable devices for measuring corneal power and cal- culating IOL power is IOLMaster (Carl Zeiss, Jena, Germany), a device that is able to measure axial length by partial coherence ...
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Last fall degree, HFE, and Weil descent attacks on ECDLP
... zero-dimensional multivariate polynomial system, namely in finding relations for index calcu- lus algorithms to solve the elliptic curve discrete logarithm ...
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Near Optimal Rate Homomorphic Encryption for Branching Programs
... k/`+Θ(` −1 ). This demonstrates the optimality of our construction within logarithmic factors. We achieve this result by introducing a model for arguing about lower bounds in the context of secure two-party computation ...
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Minimax Multivariate Control Chart Using a Polynomial Function
... root-finding algorithms for multivariate polynomial sys- tems (2.1) have been used in practice. Newton type methods, which are classified as local solution techni- ques, have been applied to many problems ...
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Kronecker?s and Newton?s approaches to solving : A first comparison
... In these pages we make a first attempt to compute efficiency of symbolic and numerical analysis procedures that solve systems of multivariate polynomial equations. In particular, we compare Kronecker’s ...
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Limit Cycle Identification in Nonlinear Polynomial Systems
... representing multivariate polynomials and their multiplications with coefficient vectors and mo- nomial vectors, based on the concept of Macaulay ...of polynomial equations are then constructed with respect ...
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A New Architecture Using Polynomial Matrix Multiplication for Advanced Wireless Communication
... each polynomial element of multiplier and multiplicand matrices in parallel, respectively, in a row-by-row and column-by-column sequential processing ...each polynomial element row for the multiplier matrix ...
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On Polynomial Symmetric and Polynomial Skew Symmetric Matrices
... Two polynomial matrices A ( ), B ( ) C m x n ( ) are called right or column equivalent if and only if one of them can be obtained from the other as a result of a finite number of elementary operations ...
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Maximum Gap of (Inverse) Cyclotomic Polynomials.
... cyclotomic polynomial is used to prove many important theorems: a special case of Dirichlet’s theorem on primes in arithmetic progressions [21], Wedderburn’s Theorem that every finite division ring is a field [30] ...
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A Multivariate Student’s t Distribution
... A similar approach can be used to create a multivariate Student’s t pdf. Assume truncated or effectively truncated t-distributions, so that moments exist [3] [4]. For simplicity, assume that support is [ µ − b β µ ...
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Practical polynomial factoring in polynomial time
... For a number of years, the practical behavior of these im- plementations was a complete mystery; there was no com- plexity bound that came anywhere near the running times observed in practice. There are two ways to ...
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Forecasting the Behavior of Gas Furnace Multivariate Time Series Using Ridge Polynomial Based Neural Network Models
... Fig. 2. Architecture of the ridge polynomial neural network [6]. Like any feedforward network, the output of the RPNN is only a function of the current input; in other words, the node equations are memoryless. ...
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The number of zeros of a polynomial in a disk
... In this paper we give bounds for the number of zeros of a polynomial in a disk when the coefficients of the polynomial are restricted to certain conditions. Our results generalize many known results in this ...
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Study of polynomial and non polynomial spline based approximation
... This paper is devoted to the evolution, progress, types and spline solutions of differential equations. There is now considerable evidence that in many circumstances a spline function is a more adaptable approximating ...
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On the Zeros of the Polar Derivative of a Polynomial
... Reddy, On the Zeros of Polar Derivatives, International Journal of Recent Research in Mathematics, Computer Science and Information Technology, Vol.2, Issue 1 April 2015- September 2015,[r] ...
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