Results 31 to 40 of about 672 (66)

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, Lin Minghua, Olesky D. D., van den Driessche P.   +3 more
doaj   +1 more source

∗‐π‐Reversible ∗‐Semirings and Their Applications to Generalized Inverses

Journal of Mathematics, Volume 2024, Issue 1, 2024.
We introduce and study a new class of ∗‐semirings which is called ∗‐π‐reversible ∗‐semirings. A ∗‐semiring R is said to be ∗‐π‐reversible if for any a, b ∈ R, ab = 0 implies there exist two positive integers m and n such that bman∗=0. Some characterizations and examples of this class of semirings are given. As applications, generalized inverses related
Yuanfan Zhuo, Qinqin Gu, Huadong Su
wiley   +1 more source

A note on the formulas for the Drazin inverse of the sum of two matrices

Open Mathematics, 2019
In this paper we derive the formula of (P + Q)D under the conditions Q(P + Q)P(P + Q) = 0, P(P + Q)P(P + Q) = 0 and QPQ2 = 0. Then, a corollary is given which satisfies the conditions (P + Q)P(P + Q) = 0 and QPQ2 = 0. Meanwhile, we show that the additive
Liu Xin, Yang Xiaoying, Wang Yaqiang
doaj   +1 more source

A center of a polytope: An expository review and a parallel implementation

, 1993
International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 2, Page 209-224, 1993.
S. K. Sen, Hongwei Du, D. W. Fausett
wiley   +1 more source

Trace inequalities for positive semidefinite matrices

Discussiones Mathematicae - General Algebra and Applications, 2017
Certain trace inequalities for positive definite matrices are generalized for positive semidefinite matrices using the notion of the group generalized inverse.
Choudhury Projesh Nath, Sivakumar K.C.
doaj   +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., Nandi R., Sivakumar K.C., Sushmitha P., Tsatsomeros M.J., Wendler Enzo, Wendler Megan   +6 more
doaj   +1 more source

A matrix approach to compare BLUEs under a linear regression model and its two competing restricted models with applications

Demonstratio Mathematica
Suppose that a weakly singular linear regression model M{\mathscr{M}} and its two competing restricted models M1{{\mathscr{M}}}_{1} and M2{{\mathscr{M}}}_{2} are given.
Ren Xingwei
doaj   +1 more source

An algebraic model for the propagation of errors in matrix calculus

Special Matrices, 2020
We assume that every element of a matrix has a small, individual error, and model it by an external number, which is the sum of a nonstandard real number and a neutrix, the latter being a convex (external) additive group.
Van Tran Nam, van den Berg Imme
doaj   +1 more source

Invariance property of a five matrix product involving two generalized inverses

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021
Matrix expressions composed by generalized inverses can generally be written as f(A−1, A−2, . . ., A−k), where A1, A2, . . ., Ak are a family of given matrices of appropriate sizes, and (·)− denotes a generalized inverse of matrix.
Jiang Bo, Tian Yongge
doaj   +1 more source

Weak group inverse

Open Mathematics, 2018
In this paper, we introduce the weak group inverse (called as the WG inverse in the present paper) for square complex matrices of an arbitrary index, and give some of its characterizations and properties.
Wang Hongxing, Chen Jianlong
doaj   +1 more source