The symbolic Turiyam matrix is a whose entries contain Turiyam. Inverse matrices can generally be determined if the non-singular square matrix. Currently inverse of size m × n with 6= by Moore-Penrose inverse. purpose this research to determine algorithm on real n. Algebraic operations method used obtain applying algebraic concept inverses. main result obtained demonstration example given shows...

This paper establishes some perturbation analysis for the tensor inverse, Moore-Penrose and system based on t-product. In settings of structured perturbations, we generalize Sherman-Morrison-Woodbury (SMW) formula to t-product scenarios. The SMW can be used perform sensitivity a multilinear equations.

This paper extends some results for the weighted Moore–Penrose inverse A+M,N in Hilbert space to the so-called weighted Minkowski inverse A⊕M,N of an arbitrary rectangular matrix A ∈ Mm,n in Minkowski spaces μ. Four methods are also used for approximating the weighted Minkowski Inverse A⊕M,N . These methods are: Borel summable, Euler–Knopp summable, Newton–Raphson and Tikhonov’s methods. c © 20...

In this paper, necessary and sufficient conditions are given for the existence of Moore-Penrose inverse a product two matrices in an indefinite inner space (IIPS) which reverse order law holds good. Rank equivalence formulas with respect to IIPS provided open problem is at end.

Four results are given that address the existence, ambiguities and construction of a classical R-matrix given a Lax pair. They enable the uniform construction of R-matrices in terms of any generalized inverse of adL. For generic L a generalized inverse (and indeed the Moore-Penrose inverse) is explicitly constructed. The R-matrices are in general momentum dependent and dynamical. The constructi...

The reverse order law and the forward have been studied for various types of generalized inverses. $(b,c)$-inverse is a generalization some well known inverses, such as Moore-Penrose inverse, Drazin core etc. In this paper, $(b,c)$-inverse, in unital ring, investigated an equivalent condition to hold derived. Also, results on topic are generalized. Furthermore, ring with unity introduced, diffe...

A well–known property of an irreducible singular M–matrix is that it has a generalized inverse which is non–negative, but this is not always true for any generalized inverse. The authors have characterized when the Moore–Penrose inverse of a symmetric, singular, irreducible and tridiagonal M–matrix is itself an M–matrix. We aim here at giving new explicit examples of infinite families of matric...

Four results are given that address the existence, ambiguities and construction of a classical R-matrix given a Lax pair. They enable the uniform construction of R-matrices in terms of any generalized inverse of ad(L). For generic L a generalized inverse (and indeed the Moore-Penrose inverse) is explicitly constructed. The R-matrices are in general momentum dependent and dynamical. We apply our...