Results 71 to 80 of about 146 (131)
A spectral approach for the dynamic Bradley–Terry model
Stat, Volume 13, Issue 3, September 2024.Summary The dynamic ranking, due to its increasing importance in many applications, is becoming crucial, especially with the collection of voluminous time‐dependent data. One such application is sports statistics, where dynamic ranking aids in forecasting the performance of competitive teams, drawing on historical and current data.
Xinyu Tian +3 more
wiley +1 more source
Some Results on the Drazin Inverse of a Modified Matrix with New Conditions
International Journal of Analysis and Applications, 2014 In this article, we consider representations of the Drazin inverse of a modified matrix M = A−CDdB with the generalized Schur complement Z = D − BAdC under different conditions given in recent articles on the subject.
Abdul Shakoor, Hu Yang, Ilyas Ali
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A Higher Order Iterative Method for Computing the Drazin Inverse
The Scientific World Journal, 2013 A method with high convergence rate for finding approximate inverses of nonsingular matrices is suggested and established analytically. An extension of the introduced computational scheme to general square matrices is defined.
F. Soleymani, Predrag S. Stanimirović
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International Journal of Applied Mathematics and Computer Science, 2020 Descriptor and standard linear continuous-time systems with different fractional orders are investigated. Descriptor systems are analyzed making use of the Drazin matrix inverse.
Kaczorek Tadeusz, Sajewski Łukasz
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A note on the range of the product of two operators
上海师范大学学报. 自然科学版, 2019 Let H and K be two Hilbert spaces,and let A∈B(H),B∈B(K,H) be two bounded linear operators such that ind(A) ≤ 1,R(AB)⊆R(B) and R(B) is closed in H.A sufficient condition is given under which R(AB)=R(A)∩R(B).Furthermore,a counterexample is constructed such
QIN Mengjie, XU Qingxiang
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G-Drazin inverse combined with inner inverse
Linear and Multilinear Algebra16 pages, Linear and Multilinear Algebra (2024)
G. Maharanaa +2 more
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Jacobson’s lemma for the generalized Drazin inverse
Linear Algebra and its Applications, 2012 The authors investigate some properties of elements in a ring which admit the generalized Drazin inverse. It is shown that the element \(1-ab\) is generalized Drazin invertible if and only if so is \(1-ba\) and a formula for the generalized Drazin inverse of \(1-ba\) in terms of the generalized Drazin inverse and the spectral idempotent of \(1-ab\) is ...
Zhuang, Guifen +2 more
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A Note on Representations of the Drazin Inverse for Complex Partitioned Matrices
MathematicsIn this paper, we present explicit representations for Drazin inverses of the sum P+Q under the conditions P2Q=0, Q2PQ=0, and Q(PQ)2=0. Then, we apply our results to derive a series of representations for the Drazin inverses of a 2×2 complex partitioned ...
Yue Zhao, Daochang Zhang, Dijana Mosić
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Conditions for Existence, Representations, and Computation of Matrix Generalized Inverses
Complexity, 2017 Conditions for the existence and representations of 2-, 1-, and 1,2-inverses which satisfy certain conditions on ranges and/or null spaces are introduced.
Predrag S. Stanimirović +3 more
doaj +1 more source
Electronic Proceedings in Theoretical Computer ScienceIn Proceedings QPL 2025, arXiv:2508 ...
Cockett, Robin +2 more
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