Results 1 to 10 of about 341,424 (240)
On the Spectral and Frobenius Norm of a Generalized Fibonacci r-Circulant Matrix [PDF]
Special Matrices, 2018 Consider the recursion g0 = a, g1 = b, gn = gn−1 + gn−2, n = 2, 3, . . . . We compute the Frobenius norm of the r-circulant matrix corresponding to g0, . . . , gn−1. We also give three lower bounds (with equality conditions) for the spectral norm of this
Jorma Kaarlo Merikoski +2 more
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A generalization and an application of the arithmetic–geometric mean inequality for the Frobenius norm [PDF]
Journal of Inequalities and Applications, 2018 Recently, Kittaneh and Manasrah (J. Math. Anal. Appl. 361:262–269, 2010) showed a refinement of the arithmetic–geometric mean inequality for the Frobenius norm. In this paper, we shall present a generalization of Kittaneh and Manasrah’s result. Meanwhile,
Xuesha Wu
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A Sensor Localization and Orientation Method for OPM-MEG Based on Rigid Coil Structures and Magnetic Dipole Fitting Models [PDF]
BioengineeringHigh-precision sensor co-registration is a critical prerequisite for achieving high-resolution imaging in Optically Pumped Magnetometer–Magnetoencephalography (OPM-MEG) systems.
Weinan Xu +8 more
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Truncated singular value decomposition in ripped photo recovery [PDF]
ITM Web of Conferences, 2021 Singular value decomposition (SVD) is one of the most useful matrix decompositions in linear algebra. Here, a novel application of SVD in recovering ripped photos was exploited. Recovery was done by applying truncated SVD iteratively.
Lem Kong Hoong
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The block LSMR algorithm for solving linear systems with multiple right-hand sides [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2015 LSMR (Least Squares Minimal Residual) is an iterative method for the solution of the linear system of equations and leastsquares problems. This paper presents a block version of the LSMR algorithm for solving linear systems with multiple right-hand sides.
maryam mojarrab, Faezeh Toutounian
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On The Frobenius Condition Number of Positive Definite Matrices
Journal of Inequalities and Applications, 2010 We present some lower bounds for the Frobenius condition number of a positive definite matrix depending on trace, determinant, and Frobenius norm of a positive definite matrix and compare these results with other results. Also, we give a relation for the
Ramazan Türkmen +1 more
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IEEE Access, 2022 This paper proposes a novel state estimation algorithm, called the distributed Frobenius-norm finite memory interacting multiple model (DFFM-IMM) estimation algorithm, for mobile robot localization in wireless sensor networks (WSNs).
Duckhyun Suh +3 more
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LSMR Iterative Method for General Coupled Matrix Equations
Journal of Applied Mathematics, 2015 By extending the idea of LSMR method, we present an iterative method to solve the general coupled matrix equations ∑k=1qAikXkBik=Ci, i=1,2,…,p, (including the generalized (coupled) Lyapunov and Sylvester matrix equations as special cases) over some ...
F. Toutounian +2 more
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Abstract and Applied Analysis, 2012 The generalized coupled Sylvester systems play a fundamental role in wide applications in several areas, such as stability theory, control theory, perturbation analysis, and some other fields of pure and applied mathematics.
Feng Yin, Guang-Xin Huang
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The χ-Hessian Quotient for Riemannian Metrics
Axioms, 2021 Pseudo-Riemannian geometry and Hilbert–Schmidt norms are two important fields of research in applied mathematics. One of the main goals of this paper will be to find a link between these two research fields. In this respect, in the present paper, we will
Pişcoran Laurian-Ioan +3 more
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