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A refined invariant subspace method and applications to evolution equations [PDF]
Science China Mathematics, 2012 The invariant subspace method is refined to present more unity and more diversity of exact solutions to evolution equations. The key idea is to take subspaces of solutions to linear ordinary differential equations as invariant subspaces that evolution equations admit.
Wen-Xiu Ma
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Speed invariant gait recognition-The enhanced mutual subspace method.
PLoS ONE, 2021 This paper introduces an enhanced MSM (Mutual Subspace Method) methodology for gait recognition, to provide robustness to variations in walking speed.
Yumi Iwashita +3 more
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Continuation of Invariant Subspaces via the Recursive Projection Method [PDF]
Applications of Mathematics, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Janovský, V., Liberda, O.
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Invariant Subspace Method: A Tool for Solving Fractional Partial Differential Equations [PDF]
Fractional Calculus and Applied Analysis, 2017 In this paper invariant subspace method has been employed for solving linear and non-linear fractional partial differential equations involving Caputo derivative. A variety of illustrative examples are solved to demonstrate the effectiveness and applicability of the method.
Sangita Choudhary +1 more
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Systems and Control Letters, 2023 Recently, a novel system identification method based on invariant subspace theory is introduced, aiming to address the identification problem of continuous-time (CT) linear time-invariant (LTI) systems by combining time-domain and frequency-domain methods.
Xiufeng Zhang
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Communications in Nonlinear Science and Numerical Simulation, 2022 In this paper, we generalize the theory of the invariant subspace method to (m + 1)-dimensional non-linear time-fractional partial differential equations for the first time. More specifically, the applicability and efficacy of the method have been systematically investigated through the (3 + 1)-dimensional generalized non-linear time-fractional ...
P Prakash +2 more
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A new method for computing the stable invariant subspace of a real Hamiltonian matrix
Journal of Computational and Applied Mathematics, 1997 The problem of the numerical computation of the Lagrangian invariant subspaces of a real Hamiltonian matrix with a strongly backward stable algorithm is thoroughly examined. The solution of the Hamiltonian eigenvalue problem is important because of its close relation with the solution of the continuous-time algebraic Riccati equation.
Peter Benner +2 more
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Optimizing option pricing: Exact and approximate solutions for the time-fractional Ivancevic model
Alexandria Engineering Journal, 2023 This research investigates the time fractional Ivancevic option pricing model and presents two distinct solution methods: the invariant subspace method for obtaining exact solutions and the residual power series method for generating approximate ...
Khalid K. Ali, M.A. Maaty, M. Maneea
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Approximate invariant subspaces and quasi-newton optimization methods [PDF]
Optimization Methods and Software, 2010 New approximate secant equations are shown to result from the knowledge of (problem dependent) invariant subspace information, which in turn suggests improvements in quasi-Newton methods for unconstrained minimization. A new limited-memory Broyden-Fletcher-Goldfarb-Shanno using approximate secant equations is then derived and its encouraging behaviour ...
Gratton, Serge +1 more
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Advances in Difference Equations, 2020 In this paper, we show that the invariant subspace method can be successfully utilized to get exact solutions for nonlinear fractional partial differential equations with generalized fractional derivatives. Using the invariant subspace method, some exact
Mohamed S. Abdel Latif +2 more
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