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Hidden Markov Models (HMM) model a sequence of observations that are dependent on a hidden (or latent) state that follow a Markov chain. These models are widely used in diverse fields including ecology, speech recognition, and…

Optimization and Control · Mathematics 2024-09-05 Sidonie Foulon , Thérèse Truong , Anne-Louise Leutenegger , Hervé Perdry

By applying the dimensionless scheme, we investigate the quasinormal modes and phase transitions analytically for three types of regular black holes. The universal deviations to the first law of mechanics in regular black holes are proved.…

General Relativity and Quantum Cosmology · Physics 2022-05-13 Chen Lan , Yan-Gang Miao , Hao Yang

From a five-dimensional Einstein-Maxwell theory, Bah et al. constructed a singularity free topology star/black hole [Phys. Rev. Lett. 126, 151101 (2021)]. After the Klein-Kluza reduction, i.e., integrating the extra space dimension, it can…

General Relativity and Quantum Cosmology · Physics 2024-02-23 Wen-Di Guo , Qin Tan

This paper addresses the challenge of developing efficient algorithms for large-scale nonconvex multiobjective optimization problems (MOPs). While quasi-Newton methods are effective, their traditional application to MOPs is computationally…

Optimization and Control · Mathematics 2025-12-23 Hua Liu

In this paper we study the Dirac quasinormal modes of an uncharged 2 + 1 black hole proposed by Mandal et. al and referred to as MSW black hole in this work. The quasi- normal mode is studied using WKB approximation method. The study shows…

General Relativity and Quantum Cosmology · Physics 2014-02-19 Saneesh Sebastian , V. C. Kuriakose

Based on the work of Chen, L\"u and Pope, we derive expressions for the $D\geq 6$ dimensional metric for Kerr-(A)dS black holes with two independent rotation parameters and all others set equal to zero: $a_1\neq 0, a_2\neq0, a_3=a_4=...=0$.…

High Energy Physics - Theory · Physics 2011-07-06 H. T. Cho , Jason Doukas , Wade Naylor , A. S. Cornell

In this paper we study the scalar and electromagnetic perturbations of an extended black hole in F(R) gravity. The quasinormal modes in two cases are evaluated and studied their behavior by plotting graphs in each case. To study the…

General Relativity and Quantum Cosmology · Physics 2015-01-30 Saneesh Sebastian , V. C. Kuriakose

We analyze the quasinormal modes (QNMs) of scalar, electromagnetic, and Dirac test fields in the background of a black hole immersed in a galactic dark matter halo. The analytic black hole solution considered here is sourced by a physically…

General Relativity and Quantum Cosmology · Physics 2026-03-31 Alexey Dubinsky

In this work, we implement the $13^{th}$ order semi-analytical WKB method to explore the stability of hairy black holes obtained in the framework of Gravitational Decoupling. In particular, we perform a detailed analysis of the frequencies…

General Relativity and Quantum Cosmology · Physics 2023-02-21 Roberto Avalos , Ernesto Contreras

The characteristic oscillations of black holes, as described by their quasinormal mode (QNM) spectrum, play a fundamental role in testing general relativity with gravitational waves. The so-called parametrized QNM framework was introduced…

General Relativity and Quantum Cosmology · Physics 2025-10-13 Spyros Thomopoulos , Sebastian H. Völkel , Harald P. Pfeiffer

During the post-merger regime of a binary black hole merger, the gravitational wave signal consists of a superposition of quasi-normal modes (QNMs) of the remnant black hole. It has been observed empirically, primarily through numerical…

General Relativity and Quantum Cosmology · Physics 2025-01-22 A. Ribes Metidieri , B. Bonga , B. Krishnan

The quaternion biconjugate gradient (QBiCG) method, as a novel variant of quaternion Lanczos-type methods for solving the non-Hermitian quaternion linear systems, does not yield a minimization property. This means that the method possesses…

Numerical Analysis · Mathematics 2024-02-07 Tao Li , Qing-Wen Wang , Xin-Fang Zhang

In this paper, we first establish a Quasinormal Mode (QNM) solver for open resonators made of materials with general dispersion which can be modeled by partial fractions, and develop the corresponding analytical QNM expansion method (QNMEM)…

Optics · Physics 2024-02-13 Xianshun Ming

The study of exact quasi-normal modes [QNMs], and their associated quasi-normal frequencies [QNFs], has had a long and convoluted history - replete with many rediscoveries of previously known results. In this article we shall collect and…

Mathematical Physics · Physics 2011-03-21 Petarpa Boonserm , Matt Visser

Channel estimation and extrapolation are fundamental issues in MIMO communication systems. In this paper, we proposed the quasi-Newton orthogonal matching pursuit (QNOMP) approach to overcome these issues with high efficiency while…

Signal Processing · Electrical Eng. & Systems 2024-11-12 Yi Zeng , Mingguang Han , Xiaoguang Li , Tiejun Li

In this paper we study the fermion quasi-normal modes of a 4-dimensional rotating black-hole using the WKB(J) (to third and sixth order) and the AIM semi-analytic methods in the massless Dirac fermion sector. These semi-analytic…

General Relativity and Quantum Cosmology · Physics 2012-01-30 W. A. Carlson , A. S. Cornell , B. Jordan

In this paper, we study the quasinormal modes of the massless Dirac field for charged black holes in Rastall gravity. The spherically symmetric black hole solutions in question are characterized by the presence of a power-Maxwell field,…

General Relativity and Quantum Cosmology · Physics 2020-08-26 Cai-Ying Shao , Yu Hu , Yu-Jie Tan Cheng-Gang Shao , Kai Lin , Wei-Liang Qian

Interior Point Methods (IPM) rely on the Newton method for solving systems of nonlinear equations. Solving the linear systems which arise from this approach is the most computationally expensive task of an interior point iteration. If, due…

Optimization and Control · Mathematics 2018-06-27 J. Gondzio , F. N. C. Sobral

Theoretical understanding of the characteristic oscillations of a perturbed black hole, also referred to as quasinormal modes (QNMs), is crucial to interpreting the late stage of binary black hole mergers that we now routinely observe in…

General Relativity and Quantum Cosmology · Physics 2025-06-05 Rico K. L. Lo , Leart Sabani , Vitor Cardoso

The variational quantum eigensolver (VQE) is one of the most prominent algorithms using near-term quantum devices, designed to find the ground state of a Hamiltonian. In VQE, a classical optimizer iteratively updates the parameters in the…

Quantum Physics · Physics 2026-02-12 Chenyu Shi , Vedran Dunjko , Hao Wang
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