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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Alternative Ways of Computing the Numerator Relationship Matrix
Frontiers in Genetics, 2021 Pedigree relationships between every pair of individuals forms the elements of the additive genetic relationship matrix (A). Calculation of A−1 does not require forming and inverting A, and it is faster and easier than the calculation of A.
Mohammad Ali Nilforooshan +2 more
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On the Explicit Formula for Eigenvalues, Determinant, and Inverse of Circulant Matrices
JTAM (Jurnal Teori dan Aplikasi Matematika), 2022 Determining eigenvalues, determinants, and inverse for a general matrix is computationally hard work, especially when the size of the matrix is large enough.
Nur Aliatiningtyas +2 more
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Characteristic polynomial, determinant and inverse of a Fibonacci-Sylvester-Kac matrix
Special Matrices, 2021 In this paper, we consider a new Sylvester-Kac matrix, i.e., Fibonacci-Sylvester-Kac matrix. We discuss the eigenvalues, eigenvectors and characteristic polynomial of this matrix in two categories based on whether the Fibonacci-Sylvester-Kac matrix order
Jiang Zhaolin, Zheng Yanpeng, Li Tianzi
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Quasi-cyclic displacement and inversion decomposition of a quasi-Toeplitz matrix
AIMS Mathematics, 2022 We study a class of column upper-minus-lower (CUML) Toeplitz matrices, which are "close" to the Toeplitz matrices in the sense that their (1,−1)-cyclic displacements coincide with φ-cyclic displacement of some Toeplitz matrices.
Yanpeng Zheng, Xiaoyu Jiang
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A COMPUTATION PERSPECTIVE FOR THE EIGENVALUES OF CIRCULANT MATRICES INVOLVING GEOMETRIC PROGRESSION
Jurnal Matematika UNAND, 2023 In this article, the eigenvalues and inverse of circulant matrices with entries in the first row having the form of a geometric sequence are formulated explicitly in a simple form in one theorem. The method for deriving the formulation of the determinant
SISWANDI SISWANDI +3 more
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On fourth order accuracy stable difference scheme for a multi-point overdetermined elliptic problem
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 In this paper fourth order of accuracy difference scheme for approximate solution of a multi-point elliptic overdetermined problem in a Hilbert space is proposed.
C. Ashyralyyev, G. Akyuz
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On some properties of a generalized min matrix
AIMS Mathematics, 2023 In this paper, we investigate a min matrix and obtain its $ LU $-decomposition, determinant, permanent, inverse, and norm properties. In addition, we obtain a recurrence relation provided by the characteristic polynomial of this matrix.
Emrah Polatlı
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Inverse melting and inverse freezing: a spin model [PDF]
, 2005 Systems of highly degenerate ordered or frozen state may exhibit inverse melting (reversible crystallization upon heating) or inverse freezing (reversible glass transition upon heating).
Schupper, Nurith, Shnerb, Nadav M.
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Some Results on Inverse Scattering [PDF]
, 2007 A review of some of the author's results in the area of inverse scattering is given. The following topics are discussed: 1) Property $C$ and applications, 2) Stable inversion of fixed-energy 3D scattering data and its error estimate, 3) Inverse ...
Ramm, A. G.
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