Results 31 to 40 of about 790 (92)
On splittings of matrices and nonnegative generalized inverses
, 2012 The authors introduce a new type of matrix splitting generalizing the notion of B splitting and study its relationships with nonnegativity of the Moore-Penrose inverse and the group inverse. Mathematics subject classification (2010): 15A09, 15B48.
Debasisha Mishra +4 more
semanticscholar +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
On decompositions of estimators under a general linear model with partial parameter restrictions
Open Mathematics, 2017 A general linear model can be given in certain multiple partitioned forms, and there exist submodels associated with the given full model. In this situation, we can make statistical inferences from the full model and submodels, respectively.
Jiang Bo, Tian Yongge, Zhang Xuan
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
Inverse and Moore-Penrose inverse of Toeplitz matrices with classical Horadam numbers
, 2017 For integers s,k with s 0 and k 0 , we define a class of lower triangular Toeplitz matrices U (s,k) n of type (s,k) , whose non-zero entries are the classical Horadam numbers U (a,b) i .
Shouqiang Shen, W. Liu, Lihua Feng
semanticscholar +1 more source
On the matrix which is the sum of a tripotent and a quasinilpotent matrices
Operators and Matrices, 2019 We investigate Hirano polar matrices over a local ring, and completely determine when a 2×2 matrix over a local ring is the sum of a tripotent and a quasinilpotent matrix. Mathematics subject classification (2010): 15A09, 32A65, 16E50.
Huanzhen Chen, M. Abdolyousefi
semanticscholar +1 more source
The Nullity Theorem for Principal Pivot Transform
, 2013 We generalize the nullity theorem of Gustafson [Linear Algebra Appl. (1984)] from matrix inversion to principal pivot transform. Several special cases of the obtained result are known in the literature, such as a result concerning local complementation ...
Brijder, Robert
core +1 more source
Inverses and eigenvalues of diamondalternating sign matrices
Special Matrices, 2014 An n × n diamond alternating sign matrix (ASM) is a (0, +1, −1)-matrix with ±1 entries alternatingand arranged in a diamond-shaped pattern. The explicit inverse (for n even) or generalized inverse (for nodd) of a diamond ASM is derived.
Catral Minerva +3 more
doaj +1 more source