Results 51 to 60 of about 2,351,945 (200)

Inverse of the Vandermonde matrix with applications [PDF]

, 1966
Inverse of Vandermonde matrix with ...
Turner, L. R.
core  

Applying Dual Core-EP Inverse to Give General Strong Fuzzy Solutions of Complex Dual Fuzzy Matrix Equation

Journal of Applied Mathematics
In this paper, we define the complex dual fuzzy matrix equation and solve it based on the study of the dual core-EP inverse. First, we define the complex dual fuzzy matrix equation.
Hongjie Jiang, Jiaying Zhu, Xianchun Meng   +2 more
doaj   +1 more source

Inclusion of genetically identical animals to a numerator relationship matrix and modification of its inverse

Genetics Selection Evolution, 2009
In the field of animal breeding, estimation of genetic parameters and prediction of breeding values are routinely conducted by analyzing quantitative traits.
Yasuda Kazuhiro, Oikawa Takuro
doaj   +1 more source

Determining the Inverse of a Matrix over Min-Plus Algebra

JTAM (Jurnal Teori dan Aplikasi Matematika)
Linear algebra over the semiring  R_ε with ⊗ (plus) and ⨁ (maximum) operations which is known as max-plus algebra. One of the isomorphic with this algebra is a min-plus algebra.
Siswanto Siswanto, Anggrina Gusmizain
doaj   +1 more source

Generalized Inverse of a Singular Matrix [PDF]

Nature, 1963
THE problem of ‘inverting’ singular matrices is by no means uncommon in statistical analysis. Rao1 has shown in a lemma that a generalized inverse (g-inverse) always exists, although in the case of a singular matrix it may not be unique.
openaire   +1 more source

Definition of Complex One-Parameter Generalized Moore–Penrose Inverses Using Differential Transformations

Computational and Mathematical Methods
This study presents analytical and numerical-analytical decomposition methods for determining complex one-parameter generalized inverse Moore–Penrose matrices. The analytical approach is based on the third Moore–Penrose condition, offering three solution
Sargis Simonyan, Hovhannes Abgaryan, Armine Avetisyan   +2 more
doaj   +1 more source

Strong B-T inverse

Heliyon
New-typed matrix inverses based on the Hartwig-Spindelböck decomposition were investigated, which is called the strong B-T inverse, as a generalization of the B-T inverse.
Sanzhang Xu, Yuyue Huang, Jinyong Wu, Ber-Lin Yu   +3 more
doaj   +1 more source

Inverse interval matrix: a new approach

, 2020
We propose a new method to compute the inverse of an interval matrix based on the modified interval arithmetic. We introduce the notions of determinant, regularity and the inverse matrix of an interval matrix.
T Nirmala, D Datta, Director, H S Kushwaha, K Ganesan, H S Kushwaha   +4 more
core  

Hooks and Hockey Sticks on the Catalan Triangle

Mathematics
The inverse of the coefficient matrix of the Chebyshev S-polynomials is the Catalan triangle. From this inverse matrix, we derive rules in the spirit of Pascal’s rule in three distinct senses.
Ahmet Zahid Küçük
doaj   +1 more source

Moore-Penrose inverse of a hollow symmetric matrix and a predistance matrix

Special Matrices, 2016
By a hollow symmetric matrix we mean a symmetric matrix with zero diagonal elements. The notion contains those of predistance matrix and Euclidean distance matrix as its special cases.
Kurata Hiroshi, Bapat Ravindra B.
doaj   +1 more source