The Semigroup and the Inverse of the Laplacian on the Heisenberg Group [PDF]
Cubo, 2010 By decomposing the Laplacian on the Heisenberg group into a family of parametrized partial differential operators Lt ,t ∈ R {0}, and using parametrized Fourier-Wigner transforms, we give formulas and estimates for the strongly continuous one ...
APARAJITA DASGUPTA, M.W WONG
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Bayesian Random Tomography of Particle Systems
Frontiers in Molecular Biosciences, 2021 Random tomography is a common problem in imaging science and refers to the task of reconstructing a three-dimensional volume from two-dimensional projection images acquired in unknown random directions. We present a Bayesian approach to random tomography.
Nima Vakili +2 more
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Robust pathway sampling in phenotype prediction. Application to triple negative breast cancer
BMC Bioinformatics, 2020 Background Phenotype prediction problems are usually considered ill-posed, as the amount of samples is very limited with respect to the scrutinized genetic probes.
Ana Cernea +7 more
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Prediction of Protein Tertiary Structure via Regularized Template Classification Techniques
Molecules, 2020 We discuss the use of the regularized linear discriminant analysis (LDA) as a model reduction technique combined with particle swarm optimization (PSO) in protein tertiary structure prediction, followed by structure refinement based on singular value ...
Óscar Álvarez-Machancoses +2 more
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Matrix Analysis for Continuous-Time Markov Chains
Special Matrices, 2021 Continuous-time Markov chains have transition matrices that vary continuously in time. Classical theory of nonnegative matrices, M-matrices and matrix exponentials is used in the literature to study their dynamics, probability distributions and other ...
Le Hung V., Tsatsomeros M. J.
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A combinatorial expression for the group inverse of symmetric M-matrices
Special Matrices, 2021 By using combinatorial techniques, we obtain an extension of the matrix-tree theorem for general symmetric M-matrices with no restrictions, this means that we do not have to assume the diagonally dominance hypothesis.
Carmona A., Encinas A.M., Mitjana M.
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Robust Prediction of Single and Multiple Point Protein Mutations Stability Changes
Biomolecules, 2019 Accurate prediction of protein stability changes resulting from amino acid substitutions is of utmost importance in medicine to better understand which mutations are deleterious, leading to diseases, and which are neutral.
Óscar Álvarez-Machancoses +3 more
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Characterizations of the group invertibility of a matrix revisited
Demonstratio Mathematica, 2022 A square complex matrix AA is said to be group invertible if there exists a matrix XX such that AXA=AAXA=A, XAX=XXAX=X, and AX=XAAX=XA hold, and such a matrix XX is called the group inverse of AA.
Tian Yongge
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A class of singular Ro-matrices and extensions to semidefinite linear complementarity problems [PDF]
Yugoslav Journal of Operations Research, 2013 For ARnxn and qRn, the linear complementarity problem LCP(A, q) is to determine if there is xRn such that x ≥ 0; y = Ax + q ≥ 0 and xT y = 0. Such an x is called a solution of LCP(A,q).
Sivakumar K.C.
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Further characterizations of the m-weak group inverse of a complex matrix
AIMS Mathematics, 2022 In this paper, we introduce certain different characterizations and several new properties of the m-weak group inverse of a complex matrix. Also, the relationship between the m-weak group inverse and a nonsingular bordered matrix is established as well ...
Wanlin Jiang, Kezheng Zuo
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