Results 31 to 40 of about 442,498 (206)
Schrödinger’s tridiagonal matrix
Special Matrices, 2021 In the third part of his famous 1926 paper ‘Quantisierung als Eigenwertproblem’, Schrödinger came across a certain parametrized family of tridiagonal matrices whose eigenvalues he conjectured.
Kovačec Alexander
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Tridiagonal matrices: Invertibility and conditioning
Linear Algebra and its Applications, 1992 The authors consider conditioning of a tridiagonal matrix \(T\), normalized to have unit diagonal, \(\tau_ 1, \dots, \tau_{n-1}\) on the superdiagonal and \(\sigma_ 1, \dots, \sigma_{n-1}\) on the subdiagonal. The cases \(\sigma_ i \tau_ i > 0\) for all \(i\), and \(\sigma_ i \tau_ i < 0\) for all \(i\), are analyzed in detail. An exact formula for the
BRUGNANO, LUIGI, TRIGIANTE, DONATO
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Determinants of Tridiagonal and Circulant Matrices Special Form by Chebyshev Polynomials
JTAM (Jurnal Teori dan Aplikasi Matematika)Along with the development of science, many researchers have found new methods to determine the determinant of a matrix of more than three orders.
Nurliantika Nurliantika +2 more
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Recursive Forms For Determinant Of K-Tridiagonal Toeplitz Matrices [PDF]
, 2023 Toeplitz matrices have garnered renewed interest in recent years due to their practical applications in engineering and computational sciences. Additionally, research has shown their connection to other matrices and their significance in matrix theory ...
Agyei-Kodie, Eugene
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On periodic block-tridiagonal matrices
Linear Algebra and its Applications, 1992 Consider an \(N\times N\) tridiagonal matrix \(X\) with entries \(a_1,\ldots,a_N\) down the main diagonal,\(b_1,\ldots, b_{N-1}\) and \(c_1,\ldots,c_{N-1}\) down the super and sub-diagonal files respectively, and zeros elsewhere. Suppose further that the \(a\)-, \(b\)- and \(c\)-sequences are periodic of period \(m\) and that \(N\equiv -1\pmod m ...
ROMANI, FRANCESCO, P. ROZSA
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Eigendecomposition of Block Tridiagonal Matrices
, 2018 Block tridiagonal matrices arise in applied mathematics, physics, and signal processing. Many applications require knowledge of eigenvalues and eigenvectors of block tridiagonal matrices, which can be prohibitively expensive for large matrix sizes.
José M. F. Moura (5065136) +1 more
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Asia-Pacific Journal of Chemical Engineering, EarlyView.ABSTRACT Hybrid nanofluids have emerged as next‐generation working fluids for advanced engineering application due to their superior heat transport capability in relation to the conventional nanofluids. Motivated by the rising demand for accurate prediction of transport phenomena under realistic operating situations, the present study examines the ...
B. Prabhakar Reddy +3 more
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Combined Matrix of a Tridiagonal Toeplitz Matrix
AxiomsIn this work, combined matrices of tridiagonal Toeplitz matrices are studied. The combined matrix is known as the Relative Gain Array in control theory.
Begoña Cantó +2 more
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On Quaternion Gaussian Bronze Fibonacci Numbers
Annales Mathematicae Silesianae, 2022 In the present work, a new sequence of quaternions related to the Gaussian Bronze numbers is defined and studied. Binet’s formula, generating function and certain properties and identities are provided.
Catarino Paula, Ricardo Sandra
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On tridiagonalization of matrices
Linear Algebra and its Applications, 1988 A square matrix \(B=(b_{ij})\) is called tridiagonal if \(b_{ij}=0\) for \(| i-j| >1\). A complex \(n\times n\) square matrix is called tridiagonalizable if it is unitarily similar to a tridiagonal matrix. The author presents a proof due to J. L. Noakes of the result due to \textit{B. Sturmfels} [ibid.
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