Výsledky vyhledávání - Numerical Algorithms and Problems—computations on matrices*

A symbolic-numerical algorithm for the computation of matrix elements in the parametric eigenvalue problem Autor Vinitsky, S. I., Gerdt, V. P., Gusev, A. A., Kaschiev, M. S., Rostovtsev, V. A., Samoilov, V. N., Tyupikova, T. V., Chuluunbaatar, O.

“…A symbolic-numerical algorithm for the computation of the matrix elements in the parametric eigenvalue problem to a prescribed accuracy is presented…”
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Conditions for Existence, Representations, and Computation of Matrix Generalized Inverses Autor Gerontitis, Dimitrios, Stojanović, Igor, Ćirić, Miroslav, Stanimirović, Predrag S.

“… Algorithms arising from the introduced representations are developed. Particularly, these algorithms can be used to compute the Moore-Penrose inverse, the Drazin inverse, and the usual matrix inverse…”
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Low-rank traffic matrix completion with marginal information Autor Xiong, Zikai, Wei, Yimin, Xu, Renjie, Xu, Yanwei

“… In this paper, we utilize such marginal information to largely improve the performance of common matrix completion algorithms and propose an alternating direction method of multipliers (ADMM…”
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Total positivity and least squares problems in the Lagrange basis Autor Marco, Ana, Martínez, José‐Javier, Viaña, Raquel

“…‐Vandermonde matrices are used to take advantage of total positivity in the construction of accurate algorithms to solve the considered problem…”
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Minimum Fill-in of Sparse Graphs: Kernelization and Approximation Autor Fomin, Fedor V., Philip, Geevarghese, Villanger, Yngve

“… The problem has important applications in numerical algebra, in particular in sparse matrix computations…”
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QR Decomposition Based on Double-double Precision Gram-Schmidt Orthogonalization Method Autor Jin, Jiexi, Xie, Hehu, Du, Peibing, Quan, Zhe, Jiang, Hao

“… matrices.To solve this problem, this paper explores the cumulative effect of round-off errors of modified Gram-Schmidt algorithm（MGS…”
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Diffraction theory: application of the fast Fourier factorization to cylindrical devices with arbitrary cross section lighted in conical mounting Autor Boyer, Philippe, Popov, Evgeny, Nevière, Michel, Renversez, Gilles

“… The resolution of the boundary-value problem, including an adapted S-matrix propagation algorithm, is explained in detail for the case of an isotropic medium…”
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Matrix-based evaluation of the fractional Hankel transform by bessel series expansion Autor Hanna, Magdy Tawfik

“…•The algorithm involves only matrix computation, thus avoiding numerical integration.•A closed-form expression for the fractional Hankel transform of a generalized Gaussian signal…”
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A Modified Conjugate Descent Projection Method for Monotone Nonlinear Equations and Image Restoration Autor Aji, Sani, Kumam, Poom, Siricharoen, Punnarai, Abubakar, Auwal Bala, Yahaya, Mahmoud Muhammad

“… We prove the convergence of the algorithm using some conditions, and perform numerical experiments on some test problems…”
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A new extension of kernel feature and its application for visual recognition Autor Liu, Qingshan, Jin, Hongliang, Tang, Xiaoou, Lu, Hanqing, Ma, Songde

“…In this paper, we first conceive a new perception of the kernel feature. The kernel subspace methods can be regarded as two independent steps: an explicit…”
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Optimization on the symplectic Stiefel manifold: SR decomposition-based retraction and applications Autor Gao, Bin, Son, Nguyen Thanh, Stykel, Tatjana

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Preconditioned Alternating Projection Algorithms for Maximum a Posteriori ECT Reconstruction Autor Krol, Andrzej, Li, Si, Shen, Lixin, Xu, Yuesheng

“…We propose a preconditioned alternating projection algorithm (PAPA) for solving the maximum a posteriori (MAP…”
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Design of generic direct sparse linear system solver in C++ for power system analysis Autor Pandit, S., Soman, S.A., Khaparde, S.A.

“… Design of algorithm guarantees numerical stability and efficient sparsity implementation…”
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Parallelized multilevel fast multipole algorithm for scattering by objects with anisotropic impedance surfaces Autor Zhang, Kedi, Jin, Jian-Ming

“…SUMMARYA parallelized multilevel fast multipole algorithm (MLFMA) is presented for simulating electromagnetic scattering from complex targets with anisotropic impedance surfaces…”
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Convolutional Framework for Accelerated Magnetic Resonance Imaging Autor Zhao, Shen, Potter, Lee C., Lee, Kiryung, Ahmad, Rizwan

“…; the resulting problem is non-convex, so the choice of numerical algorithm can significantly affect performance, computation, and memory…”
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Simplification of the Gram Matrix Eigenvalue Problem for Quadrature Amplitude Modulation Signals Autor Miyazaki, Ryusuke, Wang, Tiancheng, Usuda, Tsuyoshi Sasaki

“… However, for asymmetric signals, there is no analytic solution and universal numerical algorithms that must be used, rendering the computations…”
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An Error-Free Transformation for Matrix Multiplication with Reproducible Algorithms and Divide and Conquer Methods Autor Ozaki, Katsuhisa

“…This paper discusses accurate numerical algorithms for matrix multiplication. Matrix multiplication is a basic and important problem in numerical linear algebra…”
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Locating the Eigenvalues of Matrix Polynomials Autor Bini, Dario A., Noferini, Vanni, Sharify, Meisam

“…] and [Sharify, Scaling Algorithms and Tropical Methods in Numerical Matrix Analysis: Application to the Optimal Assignment Problem and to the Accurate Computation of Eigenvalues, Ph.D…”
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The Fast Parametric Integral Equations System for Polygonal 2D Potential Problems Autor Kużelewski, Andrzej, Zieniuk, Eugeniusz

“… Numerical solution of these problems require computations on large matrices. Accurate results can be obtained only by using appropriate models and algorithms…”
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An O(N) distributed-memory parallel direct solver for planar integral equations Autor Liang, Tianyu, Chen, Chao, Martinsson, Per-Gunnar, Biros, George

“…Boundary value problems involving elliptic PDEs such as the Laplace and the Helmholtz equations are ubiquitous in mathematical physics and engineering. Many…”
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