Results 31 to 40 of about 213 (116)
Idempotent operator and its applications in Schur complements on Hilbert C*-module
Special Matrices, 2023 The present study proves that TT is an idempotent operator if and only if R(I−T∗)⊕R(T)=X{\mathcal{ {\mathcal R} }}\left(I-{T}^{\ast })\oplus {\mathcal{ {\mathcal R} }}\left(T)={\mathcal{X}} and (T∗T)†=(T†)2T{\left({T}^{\ast }T)}^{\dagger }={\left({T ...
Karizaki Mehdi Mohammadzadeh +1 more
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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
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
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
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
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
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The existence and expressions of the inverse along operators B and C
, 2018 For given A,B,C ∈B(H ) , if there exists X ∈B(H ) such that XAB = B , CAX =C , R(X) = R(B) and R(X∗) = R(C∗), then A is called (B,C) -invertible and X is called the (B,C) -inverse of A .
Chunyan Deng, Rufang Liu
semanticscholar +1 more source
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
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, 2000 Abstract and Applied Analysis, Volume 5, Issue 3, Page 137-146, 2000.
Anatolij I. Perov
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Singular matrices possessing the triangle property
Special MatricesIt is known that the inverse of an invertible real square matrix satisfying the triangle property is a tridiagonal matrix. In this note, results that may be considered as analogues of this assertion are obtained for the Moore-Penrose inverse and the ...
Priya K. Kranthi, Sivakumar K. C.
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