Results 41 to 50 of about 448,655 (204)
Invertibility and Explicit Inverses of Circulant-Type Matrices with k-Fibonacci and k-Lucas Numbers
Abstract and Applied Analysis, 2014 Circulant matrices have important applications in solving ordinary differential equations. In this paper, we consider circulant-type matrices with the k-Fibonacci and k-Lucas numbers.
Zhaolin Jiang, Yanpeng Gong, Yun Gao
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The Impact of BOLD‐Induced Linewidth Modulation on Functional 1H MRS Analysis
NMR in Biomedicine, Volume 39, Issue 11, November 2026.Functional MRS studies face a technical challenge: BOLD‐related lineshape changes can be mistaken for genuine metabolic changes, causing ~1% glutamate estimation bias at 3 and 7 T across conventional (LCModel, ABfit‐reg) and 2D fitting methods. Using synthetic data, this study shows that explicit BOLD linewidth correction—via dynamic lineshape ...
Martin Wilson +2 more
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Feature‐Level Analysis and Adversarial Transfer in Rotationally Equivariant Quantum Machine Learning
Advanced Quantum Technologies, Volume 9, Issue 11, November 2026.A detailed feature‐level analysis reveals how symmetry‐dependent features relate to adversarial transfer robustness in equivariant quantum machine learning models, paving the way for the design of future models with improved robustness. ABSTRACT Group‐equivariant quantum models are designed to exploit symmetry and can improve trainability, but it ...
Maureen Krumtünger
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Circulant matrices on global data analysis [PDF]
, 2017 In this thesis, we investigate the unbiasedness of the commonly used covariance and variogram estimators when the underlying process is assumed to be stationary on the circle or axially symmetric on the sphere. We represent both estimators as a quadratic
Adaramola, Bukola O. +1 more
core
Circulant Matrix‐Based Box–Behnken Designs With Economic Run Sizes
Quality and Reliability Engineering International, Volume 42, Issue 6, Page 3326-3334, October 2026.ABSTRACT We introduce Circulant Matrix‐Based Box–Behnken Designs (CBBDs), a new class of three‐level, second‐order response surface designs constructed using circulant matrix structures. These designs satisfy an enhanced orthogonal minimally aliased (OMA∗${\rm OMA}^*$) property: they retain the classical OMA property—where main effects are orthogonal ...
Tung‐Dinh Pham, Nam‐Ky Nguyen
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Journal of Advances in Modeling Earth Systems, Volume 18, Issue 10, October 2026.Abstract We present a localized data assimilation (DA) scheme based on sequential Markov Chain Monte Carlo (SMCMC) (Ruzayqat et al., 2024, https://doi.org/10.1002/qj.4710), a provably convergent method for filtering high‐dimensional, nonlinear, and potentially non‐Gaussian state‐space models (SSMs).
Hamza Ruzayqat +2 more
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Determinant evaluations for binary circulant matrices
Special Matrices, 2014 Determinant formulas for special binary circulant matrices are derived and a new open problemregarding the possible determinant values of these specific circulant matrices is stated. The ideas used forthe proofs can be utilized to obtain more determinant
Kravvaritis Christos
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Canadian Journal of Statistics, Volume 54, Issue 3, September 2026.Abstract Annual tree growth is a complex biological process. Modelling radial growth in the trunk by linear‐circular regression with one mode and correlated errors has allowed the definition and assessment of a preferred direction for 1 and 2 years. Here, modified F$$ F $$‐tests are presented for 3 years, 1 mode/year; 1 year, 2 modes for possible main ...
Pierre Dutilleul +2 more
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Toeplitz and Circulant Matrices: A Review [PDF]
Foundations and Trends® in Communications and Information Theory, 2006 [ t 0 t − 1 t − 2 ⋯ t − ( n − 1 ) t 1 t 0 t − 1 t 2 t 1 t 0 ⋮ ⋮ ⋱ t n − 1 ⋯ t 0 ] The fundamental theorems on the asymptotic behavior of eigenvalues, inverses, and products of banded Toeplitz matrices and Toeplitz matrices with absolutely summable elements are derived in a tutorial manner.
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Equalities and Inequalities for Norms of Block Imaginary Circulant Operator Matrices
Abstract and Applied Analysis, 2015 Circulant, block circulant-type matrices and operator norms have become effective tools in solving networked systems. In this paper, the block imaginary circulant operator matrices are discussed.
Xiaoyu Jiang, Kicheon Hong
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