ANALYTICAL INVERSE FOR THE SYMMETRIC CIRCULANT TRIDIAGONAL MATRIX [PDF]
Finding the inverse of a matrix is an open problem especially when it comes to engineering problems due to their complexity and running time (cost) of matrix inversion algorithms. An optimum strategy to invert a matrix is, first, to reduce the matrix to a simple form, only then beginning a mathematical procedure.
Seyyed Mostafa Mousavi Janbeh Sarayi +3 more
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On the coefficients of the permanent and the determinant of a circulant matrix: Applications [PDF]
Let $d(N )$ (resp. $p(N )$) be the number of summands in the determinant (resp. permanent) of an $N\times N$ circulant matrix $A = (a_{ij} )$ given by $a_{ij} = X_{i+j}$ where $i + j$ should be considered $\mod N$ . This short note is devoted to prove that $d(N ) = p(N )$ if and only if $N$ is a prime power.
Liena Colarte +3 more
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In this paper, we obtain explicit Euclidean norm, eigenvalues, spectral norm and determinant of circulant matrix with the generalized Tribonacci (generalized (r, s, t)) numbers.
Yüksel Soykan
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Optimal Backward Perturbation Analysis for the Block Skew Circulant Linear Systems with Skew Circulant Blocks [PDF]
We first give the block style spectral decomposition of arbitrary block skew circulant matrix with skew circulant blocks. Secondly, we obtain the singular value of block skew circulant matrix with skew circulant blocks as well.
Zhaolin Jiang, Juan Li, Jianwei Zhou
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Circulating Matrix Gla-protein [PDF]
Outline of this thesisThis thesis focuses on measurements of circulating MGP species and their potential diagnostic and clinical value. Chapter 1 gives an introduction of MGP and vitamin K. In Chapter 2, the mono-antibody MGP ELISA measuring total uncarboxylated MGP (t-ucMGP) levels is presented and characterised, with application of t-ucMGP ...
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Characteristic parameter sets and limits of circulant Hermitian polygon transformations
Polygon transformations based on taking the apices of similar triangles constructed on the sides of an initial polygon are analyzed as well as the limit polygons obtained by iteratively applying such transformations. In contrast to other approaches, this
Vartziotis, Dimitris +3 more
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Relationship of Circulating Matrix Biomarkers to Myocardial Matrix Metabolism in Advanced Heart Failure [PDF]
Abstract Aims Interstitial fibrosis is a key component of myocardial remodelling in heart failure (HF). Many studies have measured peripheral blood levels of procollagens and matrix metalloproteinases (MMPs), as a surrogate for myocardial matrix metabolism, particularly to evaluate the effect ...
Kaye, David M. +3 more
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The Invertibility, Explicit Determinants, and Inverses of Circulant and Left Circulant and g-Circulant Matrices Involving Any Continuous Fibonacci and Lucas Numbers [PDF]
Circulant matrices play an important role in solving delay differential equations. In this paper, circulant type matrices including the circulant and left circulant and g-circulant matrices with any continuous Fibonacci and Lucas numbers are considered ...
Zhaolin Jiang, Dan Li
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VanderLaan Circulant Type Matrices [PDF]
Circulant matrices have become a satisfactory tools in control methods for modern complex systems. In the paper, VanderLaan circulant type matrices are presented, which include VanderLaan circulant, left circulant, and g-circulant matrices.
Hongyan Pan, Zhaolin Jiang
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Computational study of permeability in cardboard coating layers
Abstract We develop a virtual material structure model based on a combination of tessellations and Gaussian random fields for a coating layer of paperboard used for packaging and designed to facilitate printing on the surface. To fit the model to tomographic image data acquired using combined focused ion beam and scanning electron microscopy (FIB‐SEM),
Sandra Barman +6 more
wiley +1 more source

