Direct Givens rotation method based on error back-propagation algorithm for self-consistent field solution.

Authors: Oshima, Rei¹ (AUTHOR), Nakai, Hiromi^1,2 (AUTHOR) nakai@waseda.jp

Source: Journal of Chemical Physics. 1/7/2025, Vol. 162 Issue 1, p1-13. 13p.

Subject Terms: *MATRIX exponential, *MOLECULAR orbitals, *DENSITY functional theory, *UNITARY transformations, *TAYLOR'S series

Family of matrices for polynomials used in artificial neural networks.

Authors: Kim, M. S.¹ msk110207@gmail.com

Source: Journal of Analysis & Applications. Sep2024, Vol. 22 Issue 2, p107-121. 15p.

Subject Terms: *MATRIX exponential, *MATRIX inversion, *ARTIFICIAL neural networks, *GENERATING functions, *EXPONENTIAL functions

Lamb waves in three-layered plates: crossing fundamental branches and wave bifurcation.

Authors: Kuznetsov, S. V.¹ (AUTHOR) kuzn-sergey@yandex.ru

Source: Acta Mechanica. Jun2024, Vol. 235 Issue 6, p4057-4065. 9p.

Subject Terms: *LAMB waves, *MATRIX exponential, *PARTICLE size determination, *WAVE energy, *ENERGY transfer, *ELASTIC waves

Generalized spatial matrix specifications.

Authors: Leorato, Samantha¹ (AUTHOR) samantha.leorato@unimi.it, Martinelli, Andrea² (AUTHOR)

Source: Econometric Reviews. 2025, Vol. 44 Issue 5, p649-672. 24p.

Subject Terms: *DISTRIBUTION (Probability theory), MATRIX exponential, MAXIMUM likelihood statistics, MATRIX functions, POWER series

MIXED-PRECISION PATERSON-STOCKMEYER METHOD FOR EVALUATING POLYNOMIALS OF MATRICES.

Source: SIAM Journal on Matrix Analysis & Applications. 2025, Vol. 46 Issue 1, p811-835. 25p.

Subject Terms: NUMERICAL solutions for linear algebra, MATRIX exponential, MATRIX multiplications, MATRIX norms, GROUP algebras

EFFICIENT SCALING AND SQUARING METHOD FOR THE MATRIX EXPONENTIAL.

Source: SIAM Journal on Matrix Analysis & Applications. 2025, Vol. 46 Issue 1, p74-93. 20p.

Subject Terms: MATRIX exponential, APPLIED mathematics, RIGID body mechanics, MATRIX multiplications, MATRIX norms, THETA functions

Cross‐Sectional Matrix Exponential Spatial Models: A Comprehensive Review and Some New Results.

Authors: Yang, Ye¹ (AUTHOR) yang.ye@cueb.edu.cn, Doğan, Osman² (AUTHOR), Taşpınar, Suleyman³ (AUTHOR), Jin, Fei⁴ (AUTHOR)

Source: Journal of Economic Surveys. Jan2025, p1. 31p.

Subject Terms: MATRIX exponential, RESEARCH personnel, HETEROSCEDASTICITY, LITERATURE

Accurate and efficient approximation of large-scale appointment schedules.

Authors: Bekker, R.¹ (AUTHOR) r.bekker@vu.nl, Bharti, B.² (AUTHOR), Mandjes, M.² (AUTHOR)

Source: Stochastic Models. Feb2025, p1-29. 29p. 7 Illustrations.

Subject Terms: *RANDOM variables, *SCHEDULING, MATRIX exponential

Bending-bending coupled static analysis of functionally graded and porous pretwisted cantilever beams using initial values method.

Authors: Genel, Ömer Ekim¹ (AUTHOR) genelo@itu.edu.tr, Tüfekci, Ekrem¹ (AUTHOR)

Source: Mechanics Based Design of Structures & Machines. 2024, Vol. 52 Issue 5, p2480-2503. 24p.

Subject Terms: *MATRIX exponential, *CURVILINEAR coordinates, *CANTILEVERS, *FINITE element method, *POWER law (Mathematics)

Avoiding matrix exponentials for large transition rate matrices.

Authors: Pessoa, Pedro^1,2 (AUTHOR), Schweiger, Max^1,2 (AUTHOR), Pressé, Steve^1,2,3 (AUTHOR) spresse@asu.edu

Source: Journal of Chemical Physics. 3/7/2024, Vol. 160 Issue 9, p1-15. 15p.

Subject Terms: *MATRIX exponential, *KRYLOV subspace, *MATRICES (Mathematics), *JUMP processes, *MARKOV processes

On the Observability and Controllability of Linear Fractional Quantum Control Systems.

Authors: Sadek, Lakhlifa¹ (AUTHOR) l.sadek@uae.ac.ma, Chablaoui, Said² (AUTHOR), Toukmati, Ahmed¹ (AUTHOR), Sadek, El Mostafa² (AUTHOR), Ben Makhlouf, Abdellatif³ (AUTHOR)

Source: Mathematical Methods in the Applied Sciences. Apr2025, p1. 13p. 10 Illustrations.

Subject Terms: *MATRIX exponential

Fourier spectral methods based on restricted Padé approximations for space fractional reaction-diffusion systems.

Authors: Yousuf, M.¹ (AUTHOR) myousuf@kfupm.edu.sa, Alshayqi, M.¹ (AUTHOR) munirah.shayqi@kfupm.edu.sa, Alzahrani, S.S.² (AUTHOR) sszahrani@taibahu.edu.sa

Source: Computers & Mathematics with Applications. Mar2025, Vol. 181, p228-247. 20p.

Subject Terms: *MATRIX exponential, *NEUMANN boundary conditions, *DISCRETE cosine transforms, *LAPLACIAN matrices, *TRANSFER matrix

Performance analysis of faber polynomial based local propagators for photonics: Performance analysis of faber polynomial based local propagators...: W. Plotnikov and D. Schulz.

Authors: Plotnikov, Wladimir¹ (AUTHOR) wladimir.plotnikov@tu-dortmund.de, Schulz, Dirk¹ (AUTHOR) dirk2.schulz@tu-dortmund.de

Source: Optical & Quantum Electronics. Mar2025, Vol. 57 Issue 3, p1-20. 20p.

Subject Terms: *MATRIX exponential, *ELECTROMAGNETIC wave propagation, *FINITE differences, *POLYNOMIAL time algorithms, *SPATIAL resolution

An improved Tikhonov regularization method combined with the exponential filter function.

Authors: Zeng, Xiaoniu¹ (AUTHOR) xiaoniuzeng@163.com, Liu, Tianyou¹ (AUTHOR), Tan, Xiaofeng¹ (AUTHOR), Li, Hongru¹ (AUTHOR), Luo, Shengjie¹ (AUTHOR)

Source: Journal of Computational Methods in Sciences & Engineering. Mar2025, Vol. 25 Issue 2, p1114-1122. 9p.

Subject Terms: *MATRIX exponential, *EXPONENTIAL functions, *TIKHONOV regularization

Exponential Bounds for the Density of the Law of the Solution of an SDE with Locally Lipschitz Coefficients.

Authors: Anton, Cristina¹ (AUTHOR)

Source: Mathematics (2227-7390). Mar2025, Vol. 13 Issue 5, p798. 20p.

Subject Terms: *MATRIX exponential, *STOCHASTIC differential equations, *COVARIANCE matrices, *MATRIX inversion, *DENSITY

A Storage Optimization Scheme for PITD Method Using Sparse Matrix-Vector Multiplication

Authors: Ma, L., Ma, X., Chi, M., Xiang, R., Zhu, X.

Source: IEEE Microwave and Wireless Technology Letters IEEE Microw. Wireless Tech. Lett. Microwave and Wireless Technology Letters, IEEE. 35(2):145-148 Feb, 2025

Adaptive Frame Coalescing in Energy Efficient Ethernet With Model Predictive Control and Queuing Theory

Authors: Gursoy, O., Akar, N.

Source: IEEE Transactions on Green Communications and Networking IEEE Trans. on Green Commun. Netw. Green Communications and Networking, IEEE Transactions on. 8(4):1574-1585 Dec, 2024

A characterization of real matrix semigroups.

Authors: Bauer, Benedict¹ (AUTHOR) benedict.bauer@univie.ac.at, Gerhold, Stefan² (AUTHOR)

Source: Research in Mathematics. Jan2024, Vol. 11 Issue 1, p1-10. 10p.

Subject Terms: *MATRIX exponential, *MATRIX decomposition, *FUNCTIONAL equations, *MARKOV processes, *GAUSSIAN processes

Acoustic waves in functionally graded rods: polynomial inhomogeneity.

Authors: Kuznetsov, S. V.^1,2 (AUTHOR)

Source: Mechanics of Advanced Materials & Structures. 2023, Vol. 30 Issue 23, p4828-4834. 7p.

Subject Terms: *SOUND waves, *MATRIX exponential, *POLYNOMIALS, *WAVE equation

Mixed Matrix Completion in Complex Survey Sampling under Heterogeneous Missingness.

Authors: Mao, Xiaojun¹ (AUTHOR), Wang, Hengfang² (AUTHOR) hengfang@fjnu.edu.cn, Wang, Zhonglei³ (AUTHOR), Yang, Shu⁴ (AUTHOR)

Source: Journal of Computational & Graphical Statistics. Oct-Dec2024, Vol. 33 Issue 4, p1320-1328. 9p.

Subject Terms: *DISTRIBUTION (Probability theory), MATRIX exponential, NATIONAL Health & Nutrition Examination Survey, COMPLEX matrices, SAMPLE size (Statistics), LOGISTIC regression analysis