On application of Cramer’s rule
Lietuvos Matematikos Rinkinys, 2011 The article analyses a possibility of modification of Cramer’s rule. The modified formulas for the solution of a system of linear equations, with application of which the volume of calculation reduces, are suggested.
Antanas Apynis
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CRAMER’S RULE IN MIN-PLUS ALGEBRA
BarekengCramer’s rule is one of a method for solving a system of linear equations in conventional algebra. The system of linear equation can be solved using Cramer’s rule if .
Zakia Nur Ramadhani Putri +2 more
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Types of System of the neutrosophic linear equations and Cramer’s rule [PDF]
Neutrosophic Sets and Systems, 2021 The purpose of this article is studying the types of system of neutrosophic linear equations, where the neutrosophic linear equation and the solution to the neutrosophic linear equation are defined.
Yaser Ahmad Alhasan
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Scattering and Backscattering Study of Mechanical Plane Wave in Composite Materials Plates (Earth model 1066B and LiNbO3) [PDF]
Journal of Applied and Computational Mechanics, 2022 Reflection and refraction phenomenon pattern of elastic plane wave at the interface between anisotropic monoclinic elastic half-space and isotropic elastic half-spaces is studied. Closed-form expression for phase velocity is obtained.
Abhinav Singhal +3 more
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Cramer's rule for implicit linear differential equations over a non-Archimedean ring
Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2022 We consider a linear nonhomogeneous $m$-th order differential equation in a ring of formal power series with coefficients from some field of characteristic zero.
A. Goncharuk
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Practical Treatment of the Multicollinearity: The Optimal Ridge Method and the Modified OLS [PDF]
Problemi Ekonomiki, 2021 The paper discusses the applicability of the two main methods for solving the linear regression (LR) problem in the presence of multicollinearity – the OLS and the ridge methods.
Tyzhnenko Alexander G. +1 more
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Generating functions for a lattice path model introduced by Deutsch
Special Matrices, 2021 The lattice path model suggested by E. Deutsch is derived from ordinary Dyck paths, but with additional down-steps of size −3, −5, −7, . . . . For such paths, we find the generating functions of them, according to length, ending at level i, both, when ...
Prodinger Helmut
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Characterizations of the Generalized MPCEP Inverse of Rectangular Matrices
Journal of Applied Mathematics, 2023 In this paper, we introduce a new generalized inverse, called the G-MPCEP inverse of a complex matrix. We investigate some characterizations, representations, and properties of this new inverse.
Jiaxuan Yao, Xiaoji Liu, Hongwei Jin
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Solution of System of Symbolic 2-Plithogenic Linear Equations using Cramer's Rule [PDF]
Neutrosophic Sets and Systems, 2023 In this article, the concept of system of symbolic 2-plithogenic linear equations and its solutions are introduced and studied. The Cramer’s rule was applied to solve the system of symbolic 2-plithogenic linear equations.
P. Prabakaran, Florentin Smarandache
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Cramer's rule applied to flexible systems of linear equations [PDF]
, 2012 . Systems of linear equations, called flexible systems, with coefficients having uncertainties of type o (.) or O (.) are studied. In some cases an exact solution may not exist but a general theorem that guarantees the existence of an admissible solution,
Justino, Julia, van den Berg, Imme
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