Block Circulant and Toeplitz Structures in the Linearized Hartree–Fock Equation on Finite Lattices: Tensor Approach [PDF]
, 2017 This paper introduces and analyses the new grid-based tensor approach to approximate solution of the elliptic eigenvalue problem for the 3D lattice-structured systems.
Khoromskaia, V., Khoromskij, B.
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Zhejiang Daxue xuebao. Lixue ban, 2014 Based on the general theory of matrix and some properties of (k,h)-Fibonacci and (k,h)-Lucas numbers，the upper and lower bounds for the spectral norms of r-circulant matrices and are given.
SHENShouqiang(沈守强) +1 more
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On the spectral norms of r-circulant matrices with the biperiodic Fibonacci and Lucas numbers
Journal of Inequalities and Applications, 2017 In this paper, we present new upper and lower bounds for the spectral norms of the r-circulant matrices Q=Cr((ba)ξ(1)2q0,(ba)ξ(2)2q1,(ba)ξ(3)2q2,…,(ba)ξ(n)2qn−1) $Q=C_{r} ( (\frac{b}{a} )^{\frac{\xi (1)}{2}}q_{0}, (\frac{b}{a} )^{\frac{\xi(2)}{2}}q_{1}, (
Cahit Köme, Yasin Yazlik
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Block circulant matrices with circulant blocks, weil sums and mutually unbiased bases, II. The prime power case [PDF]
, 2007 In our previous paper \cite{co1} we have shown that the theory of circulant matrices allows to recover the result that there exists $p+1$ Mutually Unbiased Bases in dimension $p$, $p$ being an arbitrary prime number.
Berndt B. C. +7 more
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Units in Z_2(C_2 × D_infinity) [PDF]
International Journal of Group Theory, 2012 In this paper we consider the group algebra R(C_2 ×D_infinity). It is shown that R(C_2 ×D_infinity) can be represented by a 4 × 4 block circulant matrix.
Kanchan Joshi, Pooja Yadav, R. Sharma
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On the Norms of Circulant and $r-$Circulant Matrices With the Hyperharmonic Fibonacci Numbers
, 2015 In this paper, we study norms of circulant and $r-$circulant matrices involving harmonic Fibonacci and hyperharmonic Fibonacci numbers.
Kizilateş, Can, Tuglu, Naim
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Circulant and skew-circulant matrices as new normal-form realization of IIR digital filters [PDF]
, 1988 Normal-form fixed-point state-space realization of IIR (infinite-impulse response) filters are known to be free from both overflow oscillations and roundoff limit cycles, provided magnitude truncation arithmetic is used together with two's-complement ...
Liu, Vincent C., Vaidyanathan, P. P.
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An Efficient Block Circulant Preconditioner For Simulating Fracture Using Large Fuse Networks
, 2005 {\it Critical slowing down} associated with the iterative solvers close to the critical point often hinders large-scale numerical simulation of fracture using discrete lattice networks.
Batrouni G G +15 more
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Almost Hadamard matrices: the case of arbitrary exponents
, 2012 In our previous work, we introduced the following relaxation of the Hadamard property: a square matrix $H\in M_N(\mathbb R)$ is called "almost Hadamard" if $U=H/\sqrt{N}$ is orthogonal, and locally maximizes the 1-norm on O(N).
Banica, Teodor, Nechita, Ion
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spatsurv: An R Package for Bayesian Inference with Spatial Survival Models
Journal of Statistical Software, 2017 Survival methods are used for the statistical modelling of time-to-event data. Survival data are characterized by a set of complete records, in which the time of the event is known; and a set of censored records, in which the event was known to have ...
Benjamin M. Taylor, Barry S. Rowlingson
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