Results 31 to 40 of about 2,334 (224)
Fast Computation of the Matrix Exponential for a Toeplitz Matrix [PDF]
SIAM Journal on Matrix Analysis and Applications, 2018 The computation of the matrix exponential is a ubiquitous operation in numerical mathematics, and for a general, unstructured $n\times n$ matrix it can be computed in $\mathcal{O}(n^3)$ operations. An interesting problem arises if the input matrix is a Toeplitz matrix, for example as the result of discretizing integral equations with a time invariant ...
Kressner, Daniel, Luce, Robert
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Improved efficiency of vibration-based sound power computation through multi-layered radiation resistance matrix symmetry [PDF]
JASA Express Letters, 2022 Computing sound power using complex-valued surface velocities involves using a geometry-dependent acoustic radiation resistance matrix multiplied by a velocity vector to compute sound power for a given frequency range.
John C. Ebeling +4 more
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Explicit inverse of a tridiagonal k−Toeplitz matrix [PDF]
Numerische Mathematik, 2005 The paper presents explicit expressions for the entries of the inverse of a tridiagonal \(k\)-Toeplitz matrix \(A\). Conditions for the existence of \(A^{-1}\) are obtained from an explicit expression of the characteristic polynomial of \(A\). The results presented in the paper extend known results for the case when the residue \(\operatorname {mod} k\)
Fonseca, C. M. da, Petronilho, J.
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Block Toeplitz operators with frequency-modulated semi-almost periodic symbols
International Journal of Mathematics and Mathematical Sciences, 2003 This paper is concerned with the influence of frequency modulation on the semi-Fredholm properties of Toeplitz operators with oscillating matrix symbols.
A. Böttcher, S. Grudsky, I. Spitkovsky
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Efficient Implementation for SBL-Based Coherent Distributed mmWave Radar Imaging
Remote Sensing, 2023 In a distributed frequency-modulated continuous waveform (FMCW) radar system, the echo data collected are not continuous in the azimuth direction, so the imaging effect of the traditional range-Doppler (RD) algorithm is poor.
Fengzhou Dai +3 more
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RIPless Based Radar Waveform Analysis in Sparse Microwave Imaging
Leida xuebao, 2013 The echo data can be modeled as the product of the Toeplitz matrix and reflectivity of the observed scene. The row of the Toeplitz matrix is the time-shift of the transmitted signal.
Zhao Yao +3 more
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On decomposition of k-tridiagonal ℓ-Toeplitz matrices and its applications
Special Matrices, 2015 We consider a k-tridiagonal ℓ-Toeplitz matrix as one of generalizations of a tridiagonal Toeplitz matrix. In the present paper, we provide a decomposition of the matrix under a certain condition.
Ohashi A., Sogabe T., Usuda T.S.
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Special Matrices, 2020 In this paper, our main attention is paid to calculate the determinants and inverses of two types Toeplitz and Hankel tridiagonal matrices with perturbed columns.
Fu Yaru +3 more
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A fourth-order cumulant orthonormal propagator rooting method based on Toeplitz approximation
EURASIP Journal on Wireless Communications and Networking, 2020 A novel Toeplitz fourth-order cumulant (FOC) orthonormal propagator rooting method (TFOC ‐ OPRM) of direction-of-arrival (DOA) estimation for uniform linear array (ULA) is proposed in this paper. Specifically, the modified (i.e., reduced-dimension) FOC (
Heping Shi +4 more
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Securing Generative Artificial Intelligence with Parallel Magnetic Tunnel Junction True Randomness
Advanced Intelligent Systems, EarlyView.True random numbers can protect generative artificial intelligence (GAI) models from attacks. A highly parallel, spin‐transfer torque magnetic tunnel junction‐based system is demonstrated that generates high‐quality, energy‐efficient random numbers.
Youwei Bao, Shuhan Yang, Hyunsoo Yang
wiley +1 more source