The Experts below are selected from a list of 300 Experts worldwide ranked by ideXlab platform

Cheng-de Zheng - One of the best experts on this subject based on the ideXlab platform.

  • Generalized Homogeneous Multivariate Matrix PadÉ-Type Approximants and PadÉ Approximants
    IEEE Transactions on Automatic Control, 2007
    Co-Authors: Cheng-de Zheng, Huaguang Zhang, Hong Tian
    Abstract:

    Generalized homogeneous multivariate matrix Pade-type Approximants (GHMPTA) and Pade Approximants are studied in ways similar to those of Brezinski and Kida in the scalar cases. By choosing an arbitrary monic bivariate scalar polynomial from the triangular form as the generating one of the approximant, we discuss their several typical important properties and study the connection between generalized homogeneous bivariate matrix Pade-type Approximants and Pade Approximants. The arguments given in detail in two variables can be extended directly to the case of d variables (d ges 2).

  • Generalized Multivariate Rectangular Matrix PadÉ-Type Approximants
    IEEE Transactions on Circuits and Systems I: Regular Papers, 2007
    Co-Authors: Cheng-de Zheng, Huaguang Zhang
    Abstract:

    A new method for the construction of generalized multivariate rectangular matrix Pade-type Approximants on a rectangular grid is introduced in this paper, by choosing an arbitrary monic bivariate polynomial as the generating one of the approximant. We discuss their several typical important properties and study the connection between bivariate rectangular matrix Pade-type Approximants and Pade Approximants. The arguments given in detail in two variables can extend directly to the case of d variables (d ges 2).

  • Generalized multivariate matrix Pade Approximants
    2006 8th international Conference on Signal Processing, 2006
    Co-Authors: Cheng-de Zheng
    Abstract:

    In this paper, we present generalized multivariate rectangular matrix Pade-type Approximants and Pade Approximants by the similar ways to those of Brezinski and Kida in the scalar cases. By choosing an arbitrary monic bivariate scalar polynomial from the triangular form as the generating one of the approximant, we discuss their several typical important properties and studies the connection between generalized bivariate rectangular matrix Pade-type Approximants and Pade Approximants. The arguments given in detail in two variables can extend directly to the case of d variables (d

  • On multivariate matrix Pade-type Approximants
    2006 CIE International Conference on Radar, 2006
    Co-Authors: Cheng-de Zheng
    Abstract:

    Following naturally the same ways as Brezinski developed in the scalar case and Draux in the matrix scale, the author constructs a kind of generalized multivariate rectangular matrix Pade-type Approximants on a rectangular grid, choosing an arbitrary monic bivariate polynomial as the generating one of the approximant, discusses their several typical important properties and studies the connec-tion between generalized bivariate rectangular matrix Pade-type Approximants and Pade Approximants. The arguments given in detail in two variables can extend directly to the case of d variables (d>2).

Huaguang Zhang - One of the best experts on this subject based on the ideXlab platform.

T Kamiyama - One of the best experts on this subject based on the ideXlab platform.

  • contribution of local atomic arrangements and electronic structure to high electrical resistivity in the al_ 82 6 x re_ 17 4 si_x 7 x 12 1 1 1 1 1 1 approximant
    Physical Review B, 2003
    Co-Authors: T Takeuchi, T Onogi, Toshio Otagiri, Uichiro Mizutani, H Sato, K Kato, T Kamiyama
    Abstract:

    Electrical resistivity of ${\mathrm{Al}}_{82.6\ensuremath{-}x}{\mathrm{Re}}_{17.4}{\mathrm{Si}}_{x}$ $(7l~xl~12)$ 1/1-1/1-1/1 Approximants was discussed in terms of their electronic structure near the Fermi level and the local atomic arrangements. Strong composition dependence of the electrical resistivity was observed for these 1/1-1/1/-1/1 Approximants; samples with $x=7,$ 9, and 12 show the Boltzmann-type electrical resistivity, while the others possess behaviors expected for system under the weak-localization. We found that the weak localization effect in the electrical resistivity, which is one of the characteristics of the corresponding Al-based quasicrystals, appears only when a condition of very low density of states with imperfections in the periodicity is satisfied. The Boltzmann-type behavior, on the other hand, takes place when one of the two factors, the very low density of states or the imperfection in the periodicity, is absent from the structure of the 1/1-1/1-1/1 approximant.

Serena De Negri - One of the best experts on this subject based on the ideXlab platform.

  • new quasicrystal approximant in the sc pd system from topological data mining to the bench
    Chemistry of Materials, 2020
    Co-Authors: Pavlo Solokha, Roman A Eremin, Tilmann Leisegang, Davide M Proserpio, Tatiana G Akhmetshina, Albina Gurskaya, A Saccone, Serena De Negri
    Abstract:

    Intermetallics contribute significantly to our current demand for high-performance functional materials. However, understanding their chemistry is still an open and debated topic, especially for complex compounds such as Approximants and quasicrystals. In this work, targeted topological data mining succeeded in (i) selecting all known Mackay-type Approximants, (ii) uncovering the most important geometrical and chemical factors involved in their formation, and (iii) guiding the experimental work to obtain a new binary Sc–Pd 1/1 approximant for icosahedral quasicrystals containing the desired cluster. Single-crystal X-ray diffraction data analysis supplemented by electron density reconstruction using the maximum entropy method, showed fine structural peculiarities, that is, smeared electron densities in correspondence to some crystallographic sites. These characteristics have been studied through a comprehensive density functional theory modeling based on the combination of point defects such as vacancies a...

  • New Quasicrystal Approximant in the Sc–Pd System: From Topological Data Mining to the Bench
    'American Chemical Society (ACS)', 2020
    Co-Authors: Pavlo Solokha, Roman A Eremin, Tilmann Leisegang, Davide M Proserpio, Tatiana G Akhmetshina, Albina Gurskaya, A Saccone, Serena De Negri
    Abstract:

    Intermetallics contribute signi\ufb01cantly to our current demand for high-performance functional materials. However, understanding their chemistry is still an open and debated topic, especially for complex compounds such as Approximants and quasicrystals. In this work, targeted topological data mining succeeded in (i) selecting all known Mackay-type Approximants, (ii) uncovering the most important geometrical and chemical factors involved in their formation, and (iii) guiding the experimental work to obtain a new binary Sc 12Pd 1/1 approximant for icosahedral quasicrystals containing the desired cluster. Single-crystal X-ray di\ufb00raction data analysis supplemented by electron density reconstruction using the maximum entropy method, showed \ufb01ne structural peculiarities, that is, smeared electron densities in correspondence to some crystallographic sites. These characteristics have been studied through a comprehensive density functional theory modeling based on the combination of point defects such as vacancies and substitutions. It was con\ufb01rmed that the structural disorder occurs in the shell enveloping the classical Mackay cluster, so that the real structure can be viewed as an assemblage of slightly di\ufb00erent, locally ordered, four shell nanoclusters. Results obtained here open up broader perspectives for machine learning with the aim of designing novel materials in the fruitful \ufb01eld of quasicrystals and their Approximants. This might become an alternative and/or complementary way to the electronic pseudogap tuning, often used before explorative synthesis

Hong Tian - One of the best experts on this subject based on the ideXlab platform.

  • Generalized Homogeneous Multivariate Matrix PadÉ-Type Approximants and PadÉ Approximants
    IEEE Transactions on Automatic Control, 2007
    Co-Authors: Cheng-de Zheng, Huaguang Zhang, Hong Tian
    Abstract:

    Generalized homogeneous multivariate matrix Pade-type Approximants (GHMPTA) and Pade Approximants are studied in ways similar to those of Brezinski and Kida in the scalar cases. By choosing an arbitrary monic bivariate scalar polynomial from the triangular form as the generating one of the approximant, we discuss their several typical important properties and study the connection between generalized homogeneous bivariate matrix Pade-type Approximants and Pade Approximants. The arguments given in detail in two variables can be extended directly to the case of d variables (d ges 2).