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Journal articles on the topic 'Hyperpower'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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1

Rafał Szumowski, Adrian. "Empire, Hegemony, Hyperpower?" Athens Journal of Social Sciences 10, no. 2 (2023): 143–60. http://dx.doi.org/10.30958/ajss.10-2-4.

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Empire and Hegemony are among the crucial notions of science of international relations. Many scholars were investigating those concepts, and attempted to define them and estimate whether they retain explanatory value in contemporary situations of accelerated evolution of international system. Within the system governed by anarchy, those two prepositions were considered partial resolution to destructive tendencies generated within the international environment. Albeit those resolutions, it seems similar, their application required different conditions in order to become effective. Every mentio

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2

Stojanovic, Igor, Predrag Stanimirovic, Ivan Zivkovic, Dimitrios Gerontitis, and Xue-Zhong Wang. "ZNN models for computing matrix inverse based on hyperpower iterative methods." Filomat 31, no. 10 (2017): 2999–3014. http://dx.doi.org/10.2298/fil1710999s.

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Our goal is to investigate and exploit an analogy between the scaled hyperpower family (SHPI family) of iterative methods for computing the matrix inverse and the discretization of Zhang Neural Network (ZNN) models. A class of ZNN models corresponding to the family of hyperpower iterative methods for computing generalized inverses is defined on the basis of the discovered analogy. The Simulink implementation in Matlab of the introduced ZNN models is described in the case of scaled hyperpower methods of the order 2 and 3. Convergence properties of the proposed ZNN models are investigated as wel

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3

Cohen, Eliot A. "History and the Hyperpower." Foreign Affairs 83, no. 4 (2004): 49. http://dx.doi.org/10.2307/20034046.

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4

Xu-Zhou, Chen, and Robert E. Hartwig. "The hyperpower iteration revisited." Linear Algebra and its Applications 233 (January 1996): 207–29. http://dx.doi.org/10.1016/0024-3795(94)00076-x.

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5

Jerbi, Houssem, Hadeel Alharbi, Mohamed Omri, et al. "Towards Higher-Order Zeroing Neural Network Dynamics for Solving Time-Varying Algebraic Riccati Equations." Mathematics 10, no. 23 (2022): 4490. http://dx.doi.org/10.3390/math10234490.

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One of the most often used approaches for approximating various matrix equation problems is the hyperpower family of iterative methods with arbitrary convergence order, whereas the zeroing neural network (ZNN) is a type of neural dynamics intended for handling time-varying problems. A family of ZNN models that correlate with the hyperpower iterative methods is defined on the basis of the analogy that was discovered. These models, known as higher-order ZNN models (HOZNN), can be used to find real symmetric solutions of time-varying algebraic Riccati equations. Furthermore, a noise-handling HOZN

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6

PIETERSE, JAN NEDERVEEN. "Hyperpower Exceptionalism: Globalisation the American Way." New Political Economy 8, no. 3 (2003): 299–319. http://dx.doi.org/10.1080/1356346032000138032.

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7

Azarpanah, F. "Proof without Words: Convergence of a Hyperpower Sequence." Mathematics Magazine 77, no. 5 (2004): 393. http://dx.doi.org/10.2307/3219208.

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8

Azarpanah, F. "Proof Without Words: Convergence of a Hyperpower Sequence." Mathematics Magazine 77, no. 5 (2004): 393. http://dx.doi.org/10.1080/0025570x.2004.11953288.

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9

Stanimirović, Predrag S., Shwetabh Srivastava, and D. K. Gupta. "From Zhang Neural Network to scaled hyperpower iterations." Journal of Computational and Applied Mathematics 331 (March 2018): 133–55. http://dx.doi.org/10.1016/j.cam.2017.09.048.

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10

Voles, Roger. "An Exploration of Hyperpower Equations n x = n y." Mathematical Gazette 83, no. 497 (1999): 210. http://dx.doi.org/10.2307/3619042.

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11

Macdonnell, J. "Some critical points on the hyperpower function nx=xxx." International Journal of Mathematical Education in Science and Technology 20, no. 2 (1989): 297–305. http://dx.doi.org/10.1080/0020739890200210.

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12

Mead, Walter Russell, Bernard-Henri Lévy, Charlotte Mandell, and Josef Joffe. "Through Our Friends' Eyes: Defending and Advising the Hyperpower." Foreign Affairs 85, no. 3 (2006): 138. http://dx.doi.org/10.2307/20031974.

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13

Wang, Rundong. "Study on the Possibility of Subprime Crisis or Other Forms of Financial Crisis in China." BCP Business & Management 13 (November 16, 2021): 113–17. http://dx.doi.org/10.54691/bcpbm.v13i.53.

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It has been 13 years since the subprime crisis happen in the USA. The America has regained its vitality it had lost from the crisis, but in China a new hyperpower, the real estate section seems to stage the same history, rising price and house buying frenzy, as America did. It is worth thinking about that whether the next subprime crisis or a similar financial crisis happen in China.

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14

Neimark, M. A. "The world and Russia, Russia and the world: on the inescapability of one trend in western-centric discourse." Обозреватель–Observer, no. 6 (December 4, 2024): 135–40. https://doi.org/10.48137/2074-2975_2024_6_135.

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Unprecedented macrosystemic transformations are taking place in the world. The result of crisisconflict local, regional and geopolitical divisions, isolations and splits has been the systemic degradation of the existing world order. Key centers of power are shifting towards the NonWest. The overstrain of the US hyperpower status is approaching a critical point. The fragmentation of the geopolitical space and its chaos have reached a maximum that threatens global strategic security.

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15

Jebreen, Haifa Bin. "Calculating the Weighted Moore–Penrose Inverse by a High Order Iteration Scheme." Mathematics 7, no. 8 (2019): 731. http://dx.doi.org/10.3390/math7080731.

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The goal of this research is to extend and investigate an improved approach for calculating the weighted Moore–Penrose (WMP) inverses of singular or rectangular matrices. The scheme is constructed based on a hyperpower method of order ten. It is shown that the improved scheme converges with this rate using only six matrix products per cycle. Several tests are conducted to reveal the applicability and efficiency of the discussed method, in contrast with its well-known competitors.

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16

Kaur, Manpreet, Munish Kansal, and Sanjeev Kumar. "An efficient hyperpower iterative method for computing weighted MoorePenrose inverse." AIMS Mathematics 5, no. 3 (2020): 1680–92. http://dx.doi.org/10.3934/math.2020113.

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17

Villiers, J. M. De, and P. N. Robinson. "The Interval of Convergence and Limiting Functions of a Hyperpower Sequence." American Mathematical Monthly 93, no. 1 (1986): 13. http://dx.doi.org/10.2307/2322537.

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18

De Villiers, J. M., and P. N. Robinson. "The Interval of Convergence and Limiting Functions of a Hyperpower Sequence." American Mathematical Monthly 93, no. 1 (1986): 13–23. http://dx.doi.org/10.1080/00029890.1986.11971735.

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19

Kumar, Ashim, Predrag S. Stanimirović, Fazlollah Soleymani, Mihailo Krstić, and Kostadin Rajković. "Factorizations of hyperpower family of iterative methods via least squares approach." Computational and Applied Mathematics 37, no. 3 (2017): 3226–40. http://dx.doi.org/10.1007/s40314-017-0507-0.

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20

Cho, Yun-Hi, and Young-One Kim. "ANALYTIC PROPERTIES OF THE LIMITS OF THE EVEN AND ODD HYPERPOWER SEQUENCES." Bulletin of the Korean Mathematical Society 41, no. 1 (2004): 27–43. http://dx.doi.org/10.4134/bkms.2004.41.1.027.

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21

Soleymani, F., Predrag S. Stanimirović, and F. Khaksar Haghani. "On hyperpower family of iterations for computing outer inverses possessing high efficiencies." Linear Algebra and its Applications 484 (November 2015): 477–95. http://dx.doi.org/10.1016/j.laa.2015.07.010.

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22

V.V., Shishkov. "Crisis of Global Hegemony: the Overstretch of US Hyperpower in the 21st Century." MGIMO Review of International Relations 1, no. 52 (2017): 36–56. http://dx.doi.org/10.24833/2071-8160-2017-1-52-36-56.

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23

Gulddal, Jesper. "‘The one great Hyperpower in the Sky’: anti-Americanism in contemporary European literature." Cambridge Review of International Affairs 20, no. 4 (2007): 677–92. http://dx.doi.org/10.1080/09557570701680720.

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24

Kaufman, Joyce. "The Four Ages of American Foreign Policy: Weak Power, Great Power, Superpower, Hyperpower." History: Reviews of New Books 51, no. 3 (2023): 44–45. http://dx.doi.org/10.1080/03612759.2023.2214006.

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25

Srivastava, Shwetabh, Dharmendra K. Gupta, Predrag Stanimirović, Sukhjit Singh, and Falguni Roy. "A hyperpower iterative method for computing the generalized Drazin inverse of Banach algebra element." Sādhanā 42, no. 5 (2017): 625–30. http://dx.doi.org/10.1007/s12046-017-0607-y.

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26

Onyemachi, Nkiru Doris, and Margarita Johanson. "Female hyperpower in <i>Bleeding Stubs</i>, an African story." International Journal of Gender Studies in Developing Societies 5, no. 2 (2025): 159–64. https://doi.org/10.1504/ijgsds.2025.10069379.

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27

Johanson, Margarita, and Nkiru Doris Onyemachi. "Female hyperpower in <i>Bleeding Stubs</i>, an African story." International Journal of Gender Studies in Developing Societies 5, no. 2 (2025): 159–64. https://doi.org/10.1504/ijgsds.2025.144519.

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28

Sabet, Amr G. E. "The Politics of Chaos in the Middle East." American Journal of Islam and Society 26, no. 1 (2009): 103–6. http://dx.doi.org/10.35632/ajis.v26i1.1418.

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This relatively short and succinct book, written by a prominent French politicalanalyst, offers an insight not only into post-9/11 American military andstrategic dilemmas, but also a glimpse into the respective European conceptionsand ways of thinking. Its main thrust is that the American reaction tothe events of that day, far from producing an outcome in the image of a“hyperpower in a unipolar world,” has instead bogged it down as a “powertied up in knots, incapable of policing the world” (p. 3). This “hopeless” situation,according to Roy, was brought on the Americans by themselves,rather tha

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29

Mourtas, Spyridon D. "Color restoration of images through high order zeroing neural networks." ITM Web of Conferences 59 (2024): 01005. http://dx.doi.org/10.1051/itmconf/20245901005.

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One of the fundamental tasks in pattern recognition is color image restoration. Every color image has three channels in the RGB color space, in contrast to grayscale images. The restoration of color images is typically far more challenging than that of grayscale images because of the internal relationships among the three channels. Given that the color image restoration can be represented as a dynamic problem with quaternion matrices, a new high order zeroing neural network (HZNN) model is developed to tackle this issue. Specifically, the time-varying quaternion matrix linear equations can be

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30

Stanimirović, Predrag S., Ashim Kumar, and Vasilios N. Katsikis. "Further efficient hyperpower iterative methods for the computation of generalized inverses $$A_{T,S}^{(2)}$$." Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 113, no. 4 (2019): 3323–39. http://dx.doi.org/10.1007/s13398-019-00696-3.

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31

Herzberger, J. "Efficient algorithms for the inclusion of the inverse matrix using error-bounds for hyperpower methods." Computing 46, no. 4 (1991): 279–88. http://dx.doi.org/10.1007/bf02257773.

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32

Herzberger, J. "Using error-bounds for hyperpower methods to calculate inclusions for the inverse of a matrix." BIT 30, no. 3 (1990): 508–15. http://dx.doi.org/10.1007/bf01931664.

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33

Campbell, Colm. "‘WARS ON TERROR’ AND VICARIOUS HEGEMONS: THE UK, INTERNATIONAL LAW, AND THE NORTHERN IRELAND CONFLICT." International and Comparative Law Quarterly 54, no. 2 (2005): 321–56. http://dx.doi.org/10.1093/iclq/lei002.

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The hegemonic position of the United States, and its implication for international law, are rapidly emerging as sites of intense scholarly interest.1It is a truism that the fall of the Berlin wall has been followed by a period of unprecedented American predominance in the military, economic, and political spheres. Replacing the bi-polar certainties of the Cold War is a world in flux, dominated, to a significant extent, by one remaining superpower, or, in the words of the former French Foreign Minister, Hubert Vedrine, by a ‘hyperpower’.2Some though, have emphasised the continuing importance of

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34

Abbassi, Rabeh, Houssem Jerbi, Mourad Kchaou, Theodore E. Simos, Spyridon D. Mourtas, and Vasilios N. Katsikis. "Towards Higher-Order Zeroing Neural Networks for Calculating Quaternion Matrix Inverse with Application to Robotic Motion Tracking." Mathematics 11, no. 12 (2023): 2756. http://dx.doi.org/10.3390/math11122756.

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The efficient solution of the time-varying quaternion matrix inverse (TVQ-INV) is a challenging but crucial topic due to the significance of quaternions in many disciplines, including physics, engineering, and computer science. The main goal of this research is to employ the higher-order zeroing neural network (HZNN) strategy to address the TVQ-INV problem. HZNN is a family of zeroing neural network models that correlates to the hyperpower family of iterative methods with adjustable convergence order. Particularly, three novel HZNN models are created in order to solve the TVQ-INV both directly

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35

Jerbi, Houssem, Izzat Al-Darraji, Saleh Albadran, et al. "Solving quaternion nonsymmetric algebraic Riccati equations through zeroing neural networks." AIMS Mathematics 9, no. 3 (2024): 5794–809. http://dx.doi.org/10.3934/math.2024281.

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<abstract><p>Many variations of the algebraic Riccati equation (ARE) have been used to study nonlinear system stability in the control domain in great detail. Taking the quaternion nonsymmetric ARE (QNARE) as a generalized version of ARE, the time-varying QNARE (TQNARE) is introduced. This brings us to the main objective of this work: finding the TQNARE solution. The zeroing neural network (ZNN) technique, which has demonstrated a high degree of effectiveness in handling time-varying problems, is used to do this. Specifically, the TQNARE can be solved using the high order ZNN (HZNN

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36

Liu, Chein-Shan, Chung-Lun Kuo, and Chih-Wen Chang. "Matrix Pencil Optimal Iterative Algorithms and Restarted Versions for Linear Matrix Equation and Pseudoinverse." Mathematics 12, no. 11 (2024): 1761. http://dx.doi.org/10.3390/math12111761.

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We derive a double-optimal iterative algorithm (DOIA) in an m-degree matrix pencil Krylov subspace to solve a rectangular linear matrix equation. Expressing the iterative solution in a matrix pencil and using two optimization techniques, we determine the expansion coefficients explicitly, by inverting an m×m positive definite matrix. The DOIA is a fast, convergent, iterative algorithm. Some properties and the estimation of residual error of the DOIA are given to prove the absolute convergence. Numerical tests demonstrate the usefulness of the double-optimal solution (DOS) and DOIA in solving s

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37

Ross, Douglas A. "Foreign Policy Challenges for Paul Martin: Canada's International Security Policy in an Era of American Hyperpower and Continental Vulnerability." International Journal 58, no. 4 (2003): 533. http://dx.doi.org/10.2307/40203885.

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38

Buranay, Suzan C., and Ovgu C. Iyikal. "Approximate Schur-Block ILU Preconditioners for Regularized Solution of Discrete Ill-Posed Problems." Mathematical Problems in Engineering 2019 (April 24, 2019): 1–18. http://dx.doi.org/10.1155/2019/1912535.

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High order iterative methods with a recurrence formula for approximate matrix inversion are proposed such that the matrix multiplications and additions in the calculation of matrix polynomials for the hyperpower methods of orders of convergence p=4k+3, where k≥1 is integer, are reduced through factorizations and nested loops in which the iterations are defined using a recurrence formula. Therefore, the computational cost is lowered from κ=4k+3 to κ=k+4 matrix multiplications per step. An algorithm is proposed to obtain regularized solution of ill-posed discrete problems with noisy data by cons

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39

Vellingiri, Mahendiran T., Ibrahim M. Mehedi, and Thangam Palaniswamy. "A Novel Deep Learning-Based State-of-Charge Estimation for Renewable Energy Management System in Hybrid Electric Vehicles." Mathematics 10, no. 2 (2022): 260. http://dx.doi.org/10.3390/math10020260.

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In recent years, alternative engine technologies are necessary to resolve the problems related to conventional vehicles. Electric vehicles (EVs) and hybrid electric vehicles (HEVs) are effective solutions to decarbonize the transportation sector. It also becomes important to shift from traditional houses to smart houses and from classical vehicles to EVs or HEVs. It is needed to combine renewable energy sources (RESs) such as solar photovoltaics, wind energy systems, and various forms of bio-energies. Among various HEV technologies, an effective battery management system (BMS) still remains a

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40

Chapkit, Charnsamorn, and Khetkeeree Suphongsa. "Symmetric quadratic tetration interpolation using forward and backward operation combination." International Journal of Electrical and Computer Engineering (IJECE) 12, no. 2 (2022): 1893–903. https://doi.org/10.11591/ijece.v12i2.pp1893-1903.

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The existed interpolation method, based on the second-order tetration polynomial, has the asymmetric property. The interpolation results, for each considering region, give individual characteristics. Although the interpolation performance has been better than the conventional methods, the symmetric property for signal interpolation is also necessary. In this paper, we propose the symmetric interpolation formulas derived from the second-order tetration polynomial. The combination of the forward and backward operations was employed to construct two types of the symmetric interpolation. Several r

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41

Neimark, Mark Afroimovich. "Geopolitics’ past and future: negation of the negation." Contemporary Europe, no. 3 (June 15, 2023): 178–87. http://dx.doi.org/10.31857/s0201708323030154.

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In a radically changed world, geopolitical costs and errors as a result of underestimation or, conversely, overestimation of increasingly non-linear hybrid processes, conflicting trends and often spontaneous events acquire increased practical and political significance. Under these conditions, the focus of research attention could not but be on the recently published work of French researchers and international experts under the catchy and meaningful title “The world will never be the same”. In the focus of the analysis is the updated context of modern crisis geopolitics. The conceptual and an

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42

Baker, I. N., and P. J. Rippon. "Iterating exponential functions with cyclic exponents." Mathematical Proceedings of the Cambridge Philosophical Society 105, no. 2 (1989): 357–75. http://dx.doi.org/10.1017/s0305004100067852.

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This paper is concerned with expressions of the formwhere fa(x) = ax. Thus we haveSuch expressions have been described variously as continued exponentials, iterated exponentials, towers of exponents or hyperpowers. We shall frequently make use of their elementary properties, as for exampleand

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43

KOLLROSS, A. "HYPERPOLAR ACTIONS ON REDUCIBLE SYMMETRIC SPACES." Transformation Groups 22, no. 1 (2016): 207–28. http://dx.doi.org/10.1007/s00031-016-9384-7.

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44

Kollross, Andreas. "A classification of hyperpolar and cohomogeneity one actions." Transactions of the American Mathematical Society 354, no. 2 (2001): 571–612. http://dx.doi.org/10.1090/s0002-9947-01-02803-3.

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45

Ohno, Shinji, and Yuuki Sasaki. "On cohomogeneity one hyperpolar actions related to G2." Differential Geometry and its Applications 100 (September 2025): 102271. https://doi.org/10.1016/j.difgeo.2025.102271.

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46

Koike, Naoyuki. "Examples of a complex hyperpolar action without singular orbit." Cubo (Temuco) 12, no. 2 (2010): 127–43. http://dx.doi.org/10.4067/s0719-06462010000200009.

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47

Berndt, Jürgen, José Carlos Díaz-Ramos, and Hiroshi Tamaru. "Hyperpolar homogeneous foliations on symmetric spaces of noncompact type." Journal of Differential Geometry 86, no. 2 (2010): 191–236. http://dx.doi.org/10.4310/jdg/1299766787.

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48

Kaufmann, Eric. "Day of Empire: How Hyperpowers Rise to Global Dominance—and Why They Fall." Nationalism and Ethnic Politics 15, no. 1 (2009): 133–36. http://dx.doi.org/10.1080/13537110802701013.

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49

Goertsches, Oliver, Sam Hagh Shenas Noshari, and Augustin-Liviu Mare. "On the Equivariant Cohomology of Hyperpolar Actions on Symmetric Spaces." Documenta Mathematica 24 (2019): 1657–76. http://dx.doi.org/10.4171/dm/711.

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50

Lee, Gabsoo, and Youngsik Kim. "A new wideband planar antenna with hyperpolar-transformed Sierpinski carpet." Microwave and Optical Technology Letters 49, no. 5 (2007): 1090–92. http://dx.doi.org/10.1002/mop.22361.

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