Results 21 to 30 of about 790 (92)
Miscellaneous equalities for idempotent matrices with applications
Open Mathematics, 2020 This article brings together miscellaneous formulas and facts on matrix expressions that are composed by idempotent matrices in one place with cogent introduction and references for further study.
Tian Yongge
doaj +1 more source
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.
doaj +1 more source
A note on computing the generalized inverse A T,S (2) of a matrix A
International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 8, Page 497-507, 2002., 2002 The generalized inverse A T,S (2) of a matrix A is a {2}‐inverse of A with the prescribed range T and null space S. A representation for the generalized inverse A T,S (2) has been recently developed with the condition σ (GA| T) ⊂ (0, ∞), where G is a matrix with R(G) = T andN(G) = S. In this note, we remove the above condition. Three types of iterative
Xiezhang Li, Yimin Wei
wiley +1 more source
Matrix rank and inertia formulas in the analysis of general linear models
Open Mathematics, 2017 Matrix mathematics provides a powerful tool set for addressing statistical problems, in particular, the theory of matrix ranks and inertias has been developed as effective methodology of simplifying various complicated matrix expressions, and ...
Tian Yongge
doaj +1 more source
The 𝔪-WG° inverse in the Minkowski space
Open Mathematics, 2023 In this article, we study the m{\mathfrak{m}}-WG∘{}^{\circ } inverse which presents a generalization of the m{\mathfrak{m}}-WG inverse in the Minkowski space. We first show the existence and the uniqueness of the generalized inverse.
Liu Xiaoji, Zhang Kaiyue, Jin Hongwei
doaj +1 more source
On matrix convexity of the Moore‐Penrose inverse
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 4, Page 707-710, 1996., 1995 Matrix convexity of the Moore‐Penrose inverse was considered in the recent literature. Here we give some converse inequalities as well as further generalizations.
B. Mond, J. E. Pečarić
wiley +1 more source
Inverse and factorization of triangular Toeplitz matrices
, 2018 In this paper, we present a new approach for finding the inverse of some triangular Toeplitz matrices using the generalized Fibonacci polynomials and give a factorization of these matrices.
Adem Şahin
semanticscholar +1 more source
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
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
A combinatorial expression for the group inverse of symmetric M-matrices
Special Matrices, 2021 By using combinatorial techniques, we obtain an extension of the matrix-tree theorem for general symmetric M-matrices with no restrictions, this means that we do not have to assume the diagonally dominance hypothesis.
Carmona A., Encinas A.M., Mitjana M.
doaj +1 more source