The Experts below are selected from a list of 225732 Experts worldwide ranked by ideXlab platform
Rokuya Ishii - One of the best experts on this subject based on the ideXlab platform.
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the property of biLinear transformation matrix and schur stability for a Linear Combination of polynomials
Journal of The Franklin Institute-engineering and Applied Mathematics, 1999Co-Authors: Koji Shiomi, Naohisa Otsuka, Hiroshi Inaba, Rokuya IshiiAbstract:Abstract In this paper, Schur stability for a Linear Combination of polynomials is studied. In order to investigate this stability, we first study some important properties of the transformation matrix derived by using the biLinear transformation. And then, under certain assumptions, necessary and sufficient conditions for the Linear Combination of k polynomials to be Schur stable are obtained.
Marc Alexa - One of the best experts on this subject based on the ideXlab platform.
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Linear Combination of transformations
International Conference on Computer Graphics and Interactive Techniques, 2002Co-Authors: Marc AlexaAbstract:Geometric transformations are most commonly represented as square matrices in computer graphics. Following simple geometric arguments we derive a natural and geometrically meaningful definition of scalar multiples and a commutative addition of transformations based on the matrix representation, given that the matrices have no negative real eigenvalues. Together, these operations allow the Linear Combination of transformations. This provides the ability to create weighted Combination of transformations, interpolate between transformations, and to construct or use arbitrary transformations in a structure similar to a basis of a vector space. These basic techniques are useful for synthesis and analysis of motions or animations. Animations through a set of key transformations are generated using standard techniques such as subdivision curves. For analysis and progressive compression a PCA can be applied to sequences of transformations. We describe an implementation of the techniques that enables an easy-to-use and transparent way of dealing with geometric transformations in graphics software. We compare and relate our approach to other techniques such as matrix decomposition and quaternion interpolation.
Koji Shiomi - One of the best experts on this subject based on the ideXlab platform.
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the property of biLinear transformation matrix and schur stability for a Linear Combination of polynomials
Journal of The Franklin Institute-engineering and Applied Mathematics, 1999Co-Authors: Koji Shiomi, Naohisa Otsuka, Hiroshi Inaba, Rokuya IshiiAbstract:Abstract In this paper, Schur stability for a Linear Combination of polynomials is studied. In order to investigate this stability, we first study some important properties of the transformation matrix derived by using the biLinear transformation. And then, under certain assumptions, necessary and sufficient conditions for the Linear Combination of k polynomials to be Schur stable are obtained.
Géza Kós - One of the best experts on this subject based on the ideXlab platform.
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Representing the GCD as Linear Combination in non-PID rings
Acta Mathematica Hungarica, 2013Co-Authors: Géza KósAbstract:We prove the following fact: If finitely many elements p 1,p 2,…,p n of a unique factorization domain are given such that the greatest common divisor of each pair (p i ,p j ) can be expressed as a Linear Combination of p i and p j , then the greatest common divisor of all the p i ’s can also be expressed as a Linear Combination of p 1,…,p n . We prove an analogous statement in general commutative rings.
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Representing the GCD as Linear Combination in non-PID rings
arXiv: Commutative Algebra, 2012Co-Authors: Géza KósAbstract:In this note we prove the following fact: if finite many elements $p_1,p_2,...,p_n$ of a unique factorization domain are given such that the greatest common divisor of each pair $(p_i,p_j)$ can be expressed as a Linear Combination of $p_i$ and $p_j$ then the greatest common divisor of all $p_i$s also can be expressed as a Linear Combination of $p_1,...,p_n$. We prove am analogous statement in commutative rings.
Nan Xie - One of the best experts on this subject based on the ideXlab platform.
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Linear Combination design of Gaussian pulses for UWB vehicular radar system
2010 The 2nd International Conference on Industrial Mechatronics and Automation, 2010Co-Authors: Bin Xia, Nan XieAbstract:A Linear Combination design of Gaussian pulses for UWB vehicular radar system is presented. By adjusting the parameters such as the variance and the value of the amplitude spectral, the corresponding PSD of Linear Combination pulse is obtained which must match the FCC's PSD mask as closely as possible and maximize the bandwidth. Then, Combination coefficient is calculated by the solution of algebraic equation group with PSD restraint conditions. Simulation results show that the method has higher spectral utilization ratio.
