Results 171 to 180 of about 3,218 (198)
Some of the next articles are maybe not open access.
Spectrum of a Jacobi matrix with exponentially growing matrix elements
Moscow University Mathematics Bulletin, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
Relationship of eigenvalue between MPSD iterative matrix and Jacobi iterative matrix
2010 International Conference on Machine Learning and Cybernetics, 2010Relationship of eigenvalue between MPSD iterative matrix and Jacobi iterative matrix for block p-cyclic case is obtained. The results in corresponding references are improved and perfected.
Wang Zhuan-De, Yang Chuan-Sheng, Tan Li
openaire +1 more source
A kind of inverse eigenvalue problems of Jacobi matrix
Applied Mathematics and Computation, 2006The authors consider the problem of reconstructing two \(n\times n\) Jacobi matrices \(J_{n},\;J_{n}^{\ast }\) and vectors \(X_{1}\), \(Y_{1}\in \mathbb{R}^{k}\) such that for a given \(k\times k\) Jacobi matrix \(J_{k}\) where \( \left( 1\leq k\leq n-1\right) \), real scalars \(S,\; \lambda,\; \mu \) and vectors \(X_{2},\) \(Y_{2}\in \mathbb{R}^{n-k}\)
Peng, Juan, Hu, Xi-Yan, Zhang, Lei
openaire +1 more source
A Jacobi-Type Method for Triangularizing an Arbitrary Matrix
SIAM Journal on Numerical Analysis, 1975A Jacobi-type procedure for the triangularization of an arbitrary matrix A is described, and convergence of the procedure is proved.
openaire +2 more sources
Jacobi Block Matrices with Constant Matrix Terms
2004We investigate a solution of the difference equation $$tU_n^{A,B}(t) = AU_{n + 1}^{A,B}(t) + BU_n^{A,B}(t) + AU_{n - 1}^{A,B}(t)$$ with the boundary conditions U 0 A,B , where A, B are hermitian matrices. U n A,B , are usually called matrix Chebyshev polynomials of the second kind. The above equation cannot be easily simplified as in scalar case
openaire +1 more source
On the eigenvalues of an infinite Jacobi matrix
Philips Journal of Research, 1985The eigenvalues \(\sigma_ 1,\sigma_ 2,..\). of the infinite Jacobi matrix \(V=D^{1/2} Q D^{1/2}\), where \(Q=(q_{ij})\), \(q_{ii}=1\), \(q_{i,i+1}=q_{i+1,i}=-1/2\), \(i=1,2,...\), \(q_{ij}=0\) else and \(D=diag(\alpha_ 1,\alpha_ 2,...),\) \(\alpha_ i=\beta^{i-1}\) are considered. It is shown that \(\beta^{k-1}
openaire +2 more sources
Jacobi Matrix Polynomial and its Integral Results
Communications on Applied Nonlinear AnalysisIntroduction: Recent advancements in matrix polynomial structures associated with special functions have gained significant traction, showcasing a diverse array of applications across various engineering disciplines. This paper primarily aims to explore and derive multiple integral representations for the modified Jacobi Matrix Polynomial. Specifically,
openaire +1 more source
Inverse Eigenvalue Problem for Jacobi Matrix
International Journal of Digital Content Technology and its Applications, 2012Lichao Feng - +4 more
openaire +1 more source
Accelerating Parallel Jacobi Method for Matrix Eigenvalue Computation in DOA Estimation Algorithm
IEEE Transactions on Vehicular Technology, 2020Zhiguo Shi
exaly