Results 31 to 40 of about 1,684,687 (171)

Fast Algorithms for Solving FLS R-Factor Block Circulant Linear Systems and Inverse Problem of AX=b

open access: yesAbstract and Applied Analysis, 2014
Block circulant and circulant matrices have already become an ideal research area for solving various differential equations. In this paper, we give the definition and the basic properties of FLS R-factor block circulant (retrocirculant) matrix over ...
Zhaolin Jiang
doaj   +1 more source

Feature‐Level Analysis and Adversarial Transfer in Rotationally Equivariant Quantum Machine Learning

open access: yesAdvanced 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
wiley   +1 more source

On Skew Circulant Type Matrices Involving Any Continuous Fibonacci Numbers

open access: yesAbstract and Applied Analysis, 2014
Circulant and skew circulant matrices have become an important tool in networks engineering. In this paper, we consider skew circulant type matrices with any continuous Fibonacci numbers.
Zhaolin Jiang, Jinjiang Yao, Fuliang Lu
doaj   +1 more source

Circulant Matrix‐Based Box–Behnken Designs With Economic Run Sizes

open access: yesQuality 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
wiley   +1 more source

Some equalities for generalized inverses of matrix sums and block circulant matrices [PDF]

open access: yes, 2001
summary:Let $ A_1, A_2,\cdots , A_n $ be complex matrices of the same size. We show in this note that the Moore-Penrose inverse, the Drazin inverse and the weighted Moore-Penrose inverse of the sum $ \sum _{t=1}^{n} A_t$ can all be determined by the ...
Tian, Yongge
core   +1 more source

Two Localization Strategies for Sequential MCMC Data Assimilation With Applications to Nonlinear Non‐Gaussian Geophysical Models

open access: yesJournal 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
wiley   +1 more source

Exact Determinants of Some Special Circulant Matrices Involving Four Kinds of Famous Numbers

open access: yesAbstract and Applied Analysis, 2014
Circulant matrix family is used for modeling many problems arising in solving various differential equations. The RSFPLR circulant matrices and RSLPFL circulant matrices are two special circulant matrices.
Xiaoyu Jiang, Kicheon Hong
doaj   +1 more source

A preconditioned fast collocation method for a linear bond-based peridynamic model

open access: yesAdvances in Difference Equations, 2020
We develop a fast collocation method for a static bond-based peridynamic model. Based on the analysis of the structure of the stiffness matrix, a fast matrix-vector multiplication technique was found, which can be used in the Krylov subspace iteration ...
Xuhao Zhang   +3 more
doaj   +1 more source

Modified F‐tests for assessing tree radial growth under linear‐circular regression models with correlated errors: A comprehensive toolbox rooted in G. E. P. Box's theorems

open access: yesCanadian 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
wiley   +1 more source

The Determinants, Inverses, Norm, and Spread of Skew Circulant Type Matrices Involving Any Continuous Lucas Numbers

open access: yesJournal of Applied Mathematics, 2014
We consider the skew circulant and skew left circulant matrices with any continuous Lucas numbers. Firstly, we discuss the invertibility of the skew circulant matrices and present the determinant and the inverse matrices by constructing the ...
Jin-jiang Yao, Zhao-lin Jiang
doaj   +1 more source

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