Results 201 to 210 of about 17,645 (222)

Positivity of Block Tridiagonal Matrices

SIAM Journal on Matrix Analysis and Applications, 1998
The authors give some results concerning the disconjugacy of linear Hamiltonian difference systems \[ \Delta x_k = A_k x_{k+1} + B_k u_k,\quad \Delta u_k = C_k x_{k+1} - A_k^T u_k \] and hence positive definiteness of the discrete quadratic functional \[ {\mathcal F}(x,u) ={\sum_{k=0}^N} \{u_k^T B_k u_k + x_{k+1}^T C_k x_{k+1}\} \] to positive ...
Bohner, Martin, Došlý, Ondřej
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Parallel Factorizations for Tridiagonal Matrices

SIAM Journal on Numerical Analysis, 1993
Summary: The authors analyze the problem of solving tridiagonal linear systems on parallel computers. A wide class of efficient parallel solvers is derived by considering different parallel factorizations of partitioned matrices. These solvers have a minimum requirement of data transmission. In fact, communication is only needed for solving a ``reduced
P. AMODIO, BRUGNANO, LUIGI, T. POLITI
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Tridiagonal M-matrices whose inverse is tridiagonal and related pentadiagonal matrices

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Barreras, A., Peña, J. M.
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Fine Spectra of Tridiagonal Toeplitz Matrices

Ukrainian Mathematical Journal, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bilgiç, H., Altun, M.
openaire   +1 more source

Toeplitz Matrices and Commuting Tridiagonal Matrices

SIAM Journal on Matrix Analysis and Applications, 1991
A new proof is presented of the existence of commuting tridiagonal matrices for a particular family of Toeplitz matrices.
openaire   +1 more source

Block tridiagonalization of "effectively" sparse symmetric matrices

ACM Transactions on Mathematical Software, 2004
A block tridiagonalization algorithm is proposed for transforming a sparse (or "effectively" sparse) symmetric matrix into a related block tridiagonal matrix, such that the eigenvalue error remains bounded by some prescribed accuracy tolerance.
Bai, Yihua   +2 more
openaire   +3 more sources

Remarks on anti-tridiagonal matrices

Applied Mathematics and Computation, 2020
The authors provide several spectral considerations on anti-tridiagonal matrices of the following type: \[\left( \begin{array}{cccccccc} & & & & & & * & * \\ & \mathbf{0} & & & & * & * & * \\ & & & & \cdot & \cdot & * & \\ & & & \cdot & \cdot & \cdot & & \\ & & \cdot & \cdot & \cdot & & & \\ & * & \cdot & \cdot & & & & \\ * & * & * & & & & \mathbf{0} &
Natália Bebiano, Susana Furtado
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