Results 1 to 10 of about 23,307 (200)
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
doaj +3 more sources
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
doaj +3 more sources
On the computation of the eigenvalues of a tridiagonal matrix [PDF]
Mathematics of Computation, 1969 A recent algorithm for the simultaneous approximation of all zeros of a polynomial is applied to the computation of the eigenvalues of a tridiagonal matrix. The method works in the presence of multiplicity and degeneracy and has been tested in a multitude of cases ; its practical limitation on a computer is the large number of locations required for ...
I. Gargantini
+5 more sources
Calculations on Matrix Transformations Involving an Infinite Tridiagonal Matrix [PDF]
Axioms, 2021 Given any sequence z=znn≥1 of positive real numbers and any set E of complex sequences, we write Ez for the set of all sequences y=ynn≥1 such that y/z=yn/znn≥1∈E; in particular, sz0 denotes the set of all sequences y such that y/z tends to zero. Here, we
Ali Fares, Ali Ayad, Bruno de Malafosse
doaj +2 more sources
The inverse of a tridiagonal matrix
Linear Algebra and its Applications, 2001 AbstractIn this paper, explicit formulae for the elements of the inverse of a general tridiagonal matrix are presented by first extending results on the explicit solution of a second-order linear homogeneous difference equation with variable coefficients to the nonhomogeneous case, and then applying these extended results to a boundary value problem. A
Ranjan K. Mallik
openalex +3 more sources
Explicit inverse of a tridiagonal ( p , r )-Toeplitz matrix [PDF]
Linear Algebra and its Applications, 2017 Peer ...
A.M. Encinas +1 more
openalex +7 more sources
Eigenvalues of 2-tridiagonal Toeplitz matrix [PDF]
Journal of Applied Mathematics and Computational Mechanics, 2015 In this article an explicit formula for eigenvalues of a 2-tridiagonal Toeplitz matrix can be derived on the basis of a certain relation between the determinant of this matrix and the determinant of a pertinent tridiagonal matrix. It can be pointed out that the problem is investigated without imposing any conditions on the elements of matrix.
Jolanta Borowska, Lena Łacińska
doaj +2 more sources
Tridiagonal random matrix: Gaussian fluctuations and deviations [PDF]
Journal of Theoretical Probability, 2015 This paper is devoted to the Gaussian fluctuations and deviations of the traces of tridiagonal random matrix. Under quite general assumptions, we prove that the traces are approximately normal distributed. Multi-dimensional central limit theorem is also obtained here.
Deng Zhang
openalex +5 more sources
Scalability of k-Tridiagonal Matrix Singular Value Decomposition [PDF]
Mathematics, 2021 Singular value decomposition has recently seen a great theoretical improvement for k-tridiagonal matrices, obtaining a considerable speed up over all previous implementations, but at the cost of not ordering the singular values.
Andrei Tănăsescu +3 more
doaj +2 more sources
Matrix-product ansatz as a tridiagonal algebra [PDF]
Journal of Physics A: Mathematical and Theoretical, 2007 In the matrix-product states approach to interacting multiparticle systems the stationary probability distribution is expressed as a matrix-product state with respect to a quadratic algebra determined by the dynamics of the process. The states involved in the matrix elements are determined by the boundary conditions.
Boyka Aneva
openalex +3 more sources