Journal of Computational and Applied Mathematics
Partial singular value decomposition algorithm (Algorithm 32)
Journal of Computational and Applied Mathematics
Generalized Displacement Structure for Block-Toeplitz,Toeplitz-Block, and Toeplitz-Derived Matrices
SIAM Journal on Matrix Analysis and Applications
A Look-Ahead Block Schur Algorithm for Toeplitz-Like Matrices
SIAM Journal on Matrix Analysis and Applications
Displacement structure: theory and applications
SIAM Review
Stability Issues in the Factorization of Structured Matrices
SIAM Journal on Matrix Analysis and Applications
A Fast Stable Solver for Nonsymmetric Toeplitz and Quasi-Toeplitz Systems of Linear Equations
SIAM Journal on Matrix Analysis and Applications
Journal of Computational and Applied Mathematics
Linear System Theory and Design
Linear System Theory and Design
Hi-index | 7.29 |
In the present paper we study the computation of the rank of a block bidiagonal Toeplitz (BBT) sequence of matrices. We propose matrix-based, numerical and symbolical, updating and direct methods, computing the rank of BBT matrices and comparing them with classical procedures. The methods deploy the special form of the BBT sequence, significantly reducing the required flops and leading to fast and efficient algorithms. The numerical implementation of the algorithms computes the numerical rank in contrast with the symbolical implementation, which guarantees the computation of the exact rank of the matrix. The combination of numerical and symbolical operations suggests a new approach in software mathematical computations denoted as hybrid computations.