Results 21 to 30 of about 688 (85)
Diagonal dominance and invertibility of matrices
Special Matrices, 2023 A weakly diagonally dominant matrix may or may not be invertible. We characterize, in terms of combinatorial structure and sign pattern when such a matrix is invertible, which is the common case. Examples are given.
Johnson Charles Royal +2 more
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A novel interpretation of least squares solution
International Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 1, Page 41-46, 1992., 1991 We show that the well‐known least squares (LS) solution of an overdetermined system of linear equations is a convex combination of all the non‐trivial solutions weighed by the squares of the corresponding denominator determinants of the Cramer′s rule. This Least Squares Decomposition (LSD) gives an alternate statistical interpretation of least squares,
Jack-Kang Chan
wiley +1 more source
Bordering method to compute Core-EP inverse
Special Matrices, 2018 Following the work of Kentaro Nomakuchi[10] and Manjunatha Prasad et.al., [7] which relate various generalized inverses of a given matrix with suitable bordering,we describe the explicit bordering required to obtain core-EP inverse, core-EP generalized ...
Prasad K. Manjunatha, Raj M. David
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International Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 2, Page 261-266, 1992., 1992 This paper gives a characterization of EPr‐λ‐matrices. Necessary and sufficient conditions are determined for (i) the Moore‐Penrose inverse of an EPr‐λ‐matrix to be an EPr‐λ‐matrix and (ii) Moore‐Penrose inverse of the product of EPr‐λ‐matrices to be an EPr‐λ‐matrix.
Ar. Meenakshi, N. Anandam
wiley +1 more source
Generalized two point boundary value problems. existence and uniqueness
International Journal of Stochastic Analysis, Volume 5, Issue 2, Page 147-156, 1992., 1991 An algorithm is presented for finding the pseudo‐inverse of a rectangular matrix. Using this algorithm as a tool, existence and uniqueness of solutions to two point boundary value problems associated with general first order matrix differential equations are established.
K. N. Murty, S. Sivasundaram
wiley +1 more source
Characteristic polynomial, determinant and inverse of a Fibonacci-Sylvester-Kac matrix
Special Matrices, 2021 In this paper, we consider a new Sylvester-Kac matrix, i.e., Fibonacci-Sylvester-Kac matrix. We discuss the eigenvalues, eigenvectors and characteristic polynomial of this matrix in two categories based on whether the Fibonacci-Sylvester-Kac matrix order
Jiang Zhaolin, Zheng Yanpeng, Li Tianzi
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Matrix Analysis for Continuous-Time Markov Chains
Special Matrices, 2021 Continuous-time Markov chains have transition matrices that vary continuously in time. Classical theory of nonnegative matrices, M-matrices and matrix exponentials is used in the literature to study their dynamics, probability distributions and other ...
Le Hung V., Tsatsomeros M. J.
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Closed-form formula for a classical system of matrix equations
Arab Journal of Basic and Applied Sciences, 2022 Keeping in view the latest development of anti-Hermitian matrix in mind, we construct some closed form formula for a classical system of matrix equations having anti-Hermitian nature in this paper.
Abdur Rehman +4 more
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On the Relative Gain Array (RGA) with Singular and Rectangular Matrices
, 2019 In this paper we identify a significant deficiency in the literature on the application of the Relative Gain Array (RGA) formalism in the case of singular matrices.
Uhlmann, Jeffrey
core +1 more source
M-matrix and inverse M-matrix extensions
Special Matrices, 2020 A class of matrices that simultaneously generalizes the M-matrices and the inverse M-matrices is brought forward and its properties are reviewed. It is interesting to see how this class bridges the properties of the matrices it generalizes and provides a
McDonald J.J. +6 more
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