Results 11 to 20 of about 522 (129)
Optimization Problems of Hermitian Quadratic Matrix-Valued Functions and Applications
AxiomsIn this paper, we investigate optimization problems for a Hermitian quadratic matrix-valued function involving two variable matrices. We derive algebraic formulas for the maximal and minimal ranks and partial inertias of this function based on a ...
Sihem Guerarra
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The generalized inverses of tensors and an application to linear models
Computers & Mathematics with Applications, 2017 The fourth author was supported by the National Science Foundation of China [grant number 11361009] and Grant from the High level innovation teams and distinguished scholars in Guangxi Universities [grant number 20160001].
Hongwei Jin +3 more
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A Generalized Matrix Inverse with Applications to Robotic Systems
CoRR, 2018 It is well-understood that the robustness of mechanical and robotic control systems depends critically on minimizing sensitivity to arbitrary application-specific details whenever possible. For example, if a system is defined and performs well in one particular Euclidean coordinate frame then it should be expected to perform identically if that ...
Bo Zhang, Jeffrey Uhlmann
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∗-π-Reversible ∗-Semirings and Their Applications to Generalized Inverses
Journal of MathematicsWe 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.
Yuanfan Zhuo, Qinqin Gu
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BarekengCirculant and skew circulant matrices play a significant role in various applications, especially in cryptography. Their determinants and inverses can be used in the decryption process.
Sapto Mukti Handoyo +2 more
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Revista Colombiana de EstadísticaThe estimation of carry-over effects is a di-cult problem in the design and analysis of clinical trials of treatment sequences including cross-over trials.
Francisco J. Diaz
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Generalized Post–Widder inversion formula with application to statistics
Journal of Mathematical Analysis and Applications, 2017 In this work we derive an inversion formula for the Laplace transform of a density observed on a curve in the complex domain, which generalizes the well known Post-Widder formula. We establish convergence of our inversion method and derive the corresponding convergence rates for the case of a Laplace transform of a smooth density.
Belomestny, Denis +2 more
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An Improved Newton Iteration for the Generalized Inverse of a Matrix, with Applications [PDF]
SIAM Journal on Scientific and Statistical Computing, 1991 Pan and Reif have shown that Newton iteration may be used to compute the inverse of an $n \times n$, well-conditioned matrix in parallel time $O(\log ^2 n)$ and that this computation is processor efficient. Since the algorithm essentially amounts to a sequence of matrix–matrix multiplications, it can be implemented with great efficiency on systolic ...
Victor Y. Pan, Robert Schreiber
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Generalized inverse optimal control and its application in biology
Annual Reviews in ControlLiving organisms exhibit remarkable adaptations across all scales, from molecules to ecosystems. We believe that many of these adaptations correspond to optimal solutions driven by evolution, training, and underlying physical and chemical laws and constraints.
Julio R. Banga, Sebastian Sager
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Weak dual generalized inverse of a dual matrix and its applications. [PDF]
Heliyon, 2023 Li H, Wang H.
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