Results 31 to 40 of about 1,720,065 (227)
Darboux transformation of symmetric Jacobi matrices and Toda lattices
Frontiers in Applied Mathematics and StatisticsLet J be a symmetric Jacobi matrix associated with some Toda lattice. We find conditions for Jacobi matrix J to admit factorization J = LU (or J = 𝔘𝔏) with L (or 𝔏) and U (or 𝔘) being lower and upper triangular two-diagonal matrices, respectively.
Ivan Kovalyov, Oleksandra Levina
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A Formula for Eigenvalues of Jacobi Matrices with a Reflection Symmetry
Advances in Mathematical Physics, 2018 The spectral properties of two special classes of Jacobi operators are studied. For the first class represented by the 2M-dimensional real Jacobi matrices whose entries are symmetric with respect to the secondary diagonal, a new polynomial identity ...
S. B. Rutkevich
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IEEE Access, 2020 Multimode/multicore fibers are expected to provide an attractive solution to overcome the capacity limit of the current optical communication system. In the presence of strong crosstalk between modes and/or cores, the squared singular values of the input/
Amor Nafkha, Nizar Demni
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ON MATRIX SUMMABILITY OF JACOBI SERIES
Tamkang Journal of Mathematics, 1999 In this paper a new theorem on Matrix Summability of Jacobi series is established This theorem is a generalization of several known and unknown results.
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Journal of Low Frequency Noise, Vibration and Active Control, 2023 In order to enhance the anti-interference ability of the speed to external load and achieve the rapid response control for turboshaft engine of next-generation helicopters, an incremental nonlinear dynamic inverse (INDI) control method for turboshaft ...
Jie Song +3 more
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Inversion of a tridiagonal jacobi matrix
Linear Algebra and its Applications, 1994 The author develops a formula for the inverse of a general tridiagonal matrix in terms of principal minors.
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A New Inverse Eigenvalue Problem for Jacobi Matrices and Corresponding Mass-Spring System
پژوهشهای ریاضی, 2020 Introduction Many problems in sciences and engineering can be studied by mathematical models. These models are classified as direct problems and inverse problems.
Hanif Mirzaei
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ELEMENTS: A high-order finite element library in C++
SoftwareX, 2019 We discuss the creation and implementation of a generalized library, named ELEMENTS, of mathematical functions for supporting a very broad range of element types including: linear, quadratic, and cubic serendipity elements in 2D and 3D; high-order ...
Jacob L. Moore +2 more
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A Comparison of Sequential and GPU Implementations of Iterative Methods to Compute Reachability Probabilities [PDF]
Electronic Proceedings in Theoretical Computer Science, 2012 We consider the problem of computing reachability probabilities: given a Markov chain, an initial state of the Markov chain, and a set of goal states of the Markov chain, what is the probability of reaching any of the goal states from the initial state ...
Elise Cormie-Bowins
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Jacobi--Davidson Method on Low-Rank Matrix Manifolds [PDF]
SIAM Journal on Scientific Computing, 2018 In this work we generalize the Jacobi-Davidson method to the case when eigenvector can be reshaped into a low-rank matrix. In this setting the proposed method inherits advantages of the original Jacobi-Davidson method, has lower complexity and requires less storage.
M. V. Rakhuba, Ivan V. Oseledets
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