Results 1 to 10 of about 89 (69)
A fast algorithm to find reduced hyperplane unit cells and solve N-dimensional Bézout's identities. [PDF]
Acta Crystallogr A Found Adv, 2021 Deformation twinning on a plane is a simple shear that transforms a unit cell attached to the plane into another unit cell equivalent by mirror symmetry or 180° rotation. Thus, crystallographic models of twinning require the determination of the short unit cells attached to the planes, or hyperplanes for dimensions higher than 3.
Cayron C.
europepmc +5 more sources
A robust solution of the generalized polynomial Bezout identity
Linear Algebra and Its Applications, 2004 The authors present a robust algorithm for the computation of all matrices of the generalized polynomial Bézout identity, together with an algorithm for the computation of minimal polynomial basis for the null space of polynomial matrices. This algorithm exploits singular value decompositions of certain real matrices. Two interesting examples enlighten
Basilio, J.C., Moreira, M.V.
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Extensions of some results of P. Humbert on Bezout's identity for classical orthogonal polynomials
Journal of Computational and Applied Mathematics, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alejandro Zarzo, Ivan Area, E Godoy
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Axioms, 2021 The number of actuators of an underactuated robot is less than its degree of freedom. In other words, underactuated robots can be designed with fewer actuators than fully actuated ones.
Mingcong Deng, Shotaro Kubota
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From Bezout's Identity to Space-Optimal Election in Anonymous Memory Systems [PDF]
Proceedings of the 39th Symposium on Principles of Distributed Computing, 2020 An anonymous shared memory REG can be seen as an array of atomic registers such that there is no a priori agreement among the processes on the names of the registers. As an example a very same physical register can be known as REG[x] by a process p and as REG[y] (where y ≠ x) by another process q.
Godard, Emmanuel +3 more
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Numerical Calculations to Grasp a Mathematical Issue Such as the Riemann Hypothesis
Information, 2020 This article presents the use of data processing to apprehend mathematical questions such as the Riemann Hypothesis (RH) by numerical calculation. Calculations are performed alongside graphs of the argument of the complex numbers ζ ( x + i y ...
Michel Riguidel
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Design of FIR Precoders and Equalizers for Broadband MIMO Wireless Channels with Power Constraints
EURASIP Journal on Wireless Communications and Networking, 2004 This paper examines the optimum design of FIR precoders or equalizers for multiple-input multiple-output (MIMO) frequency-selective wireless channels.
Guo Yongfang, Levy Bernard C
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Advances in Applied Mathematics, 1989 The authors consider the deconvolution problem \((\sum^{m}_{i=1}M_ i*V_ i=1)\), and present here a new version for their original deconvolution formula which assumes extra conditions on the family \(M_ 1,...,M_ m\) but with a simpler formula on the deconvolutors \(V_ 1,...,V_ n\). Also they use a language easier understood by engineers. This problem is
Berenstein, Carlos A, Yger, Alain
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Determination of solutions to bezout identity through eigenvalue placement
Electronics Letters, 1990 Consider the determination of two polynomial matrices \(P(s)\) and \(Q(s)\) satisfying the Bezout identity \(D(s)P(s)+N(s)Q(s)=I\), where \(D(s)\) and \(N(s)\) are given polynomial matrices with \(D(s)\) nonsingular. Parametric solutions are derived which can be solved using eigenvalue placement techniques and algebraic manipulations with packages such
Fang, C. H., Chang, F. R.
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Effective Bezout identities in Q[z1, ..., zn]
Acta Mathematica, 1991 Abstract : If p(sub 1)..... , P(sub m)are n-variate polynomials with integral coefficients and no common zeros in C(exp n), Brownawell has shown in 1986 that there exist q(sub 1 )%...., q(sub m) polynomials with integral coefficients and nu is an element of Z(+) such that p(sub 1) q(sub 1) + ... + p(sub m) q(sub m) = nu, and max deg q(sub j)
Berenstein, Carlos A., Yger, A.
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