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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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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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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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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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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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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Uniqueness result for a fractional diffusion coefficient identification problem
Boundary Value Problems, 2019 In this paper, we establish an identifiability result for the coefficient identification problem in a fractional diffusion equation in a bounded domain from the observation of the Cauchy data on particular subsets of the boundary.
Fadhel Jday, Ridha Mdimagh
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Super Fuzzy Matrix of Inverse in kth Order
Ratio Mathematica, 2023 Unexpected event modelling is a affluent area of study in fuzzy matrix (FM) modelling. Every fuzzy matrix may be shown as a multidimensional cocept, but standard matrices cannot achieve this without the proper scale.
R. Deepa, Dr. P. Sundararajan
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Mathematical Formulation of Dmh-Based Inverse Optimization
Frontiers in Oncology, 2014 Purpose: To introduce the concept of dose-mass based inverse optimization for radiotherapy applications.Materials and Methods: Mathematical derivation of the dose-mass based formalism is presented. This mathematical representation is compared to the most
Ivaylo eMihaylov, Eduardo eMoros
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Explicit determinants, inverses and eigenvalues of four band Toeplitz matrices with perturbed rows
Special Matrices, 2019 In this paper, four-band Toeplitz matrices and four-band Hankel matrices of type I and type II with perturbed rows are introduced. Explicit determinants, inverses and eigenvalues for these matrices are derived by using a nice inverse formula of block ...
Zhang Maoyun +2 more
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