Results 41 to 50 of about 16,496,952 (144)
Quantum Algorithms for the Multiplication of Circulant Matrices and Vectors
InformationThis article presents two quantum algorithms for computing the product of a circulant matrix and a vector. The arithmetic complexity of the first algorithm is O(Nlog2N) in most cases. For the second algorithm, when the entries in the circulant matrix and
Lu Hou, Zhenyu Huang, Chang Lv
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Accelerating Conjugate Gradient Solvers for Homogenization Problems With Unitary Neural Operators
International Journal for Numerical Methods in Engineering, Volume 127, Issue 5, 15 March 2026.ABSTRACT Rapid and reliable solvers for parametric partial differential equations (PDEs) are needed in many scientific and engineering disciplines. For example, there is a growing demand for composites and architected materials with heterogeneous microstructures.
Julius Herb, Felix Fritzen
wiley +1 more source
VanderLaan Circulant Type Matrices [PDF]
, 2015 Circulant matrices have become a satisfactory tools in control methods for modern complex systems. In the paper, VanderLaan circulant type matrices are presented, which include VanderLaan circulant, left circulant, and g-circulant matrices.
Hongyan Pan, Zhaolin Jiang
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POSITIVE SEMI-DEFINITENESS OF GENERALIZED ANTI-CIRCULANT TENSORS
, 2016 Anti-circulant tensors have applications in exponential data fitting. They are special Hankel tensors. In this paper, we extend the definition of anti-circulant tensors to generalized anti-circulant tensors by introducing a circulant index r such that ...
Qun Wang +5 more
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On the Approximation of Precision Matrices for Wide-Swath Altimetry
Remote SensingNew observations of ocean surface topography obtained by wide-swath satellite interferometry require new capabilities to process spatially correlated errors in order to assimilate these data into numerical models.
Max Yaremchuk +2 more
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Definition and Computation of Tensor‐Based Generalized Function Composition
Numerical Linear Algebra with Applications, Volume 33, Issue 1, February 2026.ABSTRACT Functions are fundamental to mathematics as they offer a structured and analytical framework to express relations between variables. While scalar and matrix‐based functions are well‐established, higher‐order tensor‐based functions have not been as extensively explored.
Remy Boyer
wiley +1 more source
The norm of a circulant operator [PDF]
, 2022 In this talk, we’ll present our study of the induced p-norm of circulant matrices A(n, +/- a, b), acting as operators on the Euclidean space R^n. For circulant matrices whose entries are nonnegative real numbers, in particular for A(n, a, b), we provide ...
Bouthat, Ludovick +2 more
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Estimates of the p-norms of solutions and inverse matrices of systems of linear equations with a circulant matrix [PDF]
This article considers the problem of estimating solutions and inverse matrices of systems of linear equations with a circulant matrix in the matrix norms induced by the vector p-norm for 1 < p ...
Morneau-Guérin, Frédéric
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IET Communications, Volume 20, Issue 1, January/December 2026.To address the challenges of channel sensitivity and reliability in aircraft cabin environments, this paper proposes a reinforcement learning‐assisted bidirectional communication system utilizing visible light for the downlink and infrared for the uplink. By combining an improved, resource‐efficient LMMSE algorithm for channel estimation with RL‐driven
Lei Xiao +5 more
wiley +1 more source
Range–Doppler Estimation With an EM‐Learned Prior for Pulse‐Agile Waveforms
Electronics Letters, Volume 62, Issue 1, January/December 2026.This letter proposes an expectation–maximisation (EM)‐based range–Doppler (RD) estimator that adaptively learns the clutter and target distributions and adjusts an RD prior map. By optimising the shrinkage strength via prior weighting, the proposed method improves RSM suppression in the region of interest.
Xiaojian Xu +3 more
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