Invariant subspaces of matrices with applications
Invariant subspaces of matrices with applications
Zeros of Spectral Factors, the Geometry of Splitting Subspaces, and the Algebraic Riccati Inequality
SIAM Journal on Control and Optimization
Minimal Degree Coprime Factorization of Rational Matrices
SIAM Journal on Matrix Analysis and Applications
Novel system inversion algorithm with application to oversampled perfect reconstruction filter banks
IEEE Transactions on Signal Processing
Hi-index | 22.15 |
We use state-space realizations to solve the spectral and inner-outer factorization problems with respect to the unit disk formulated for a completely general rational matrix. The algorithm is based on orthogonal transformations and standard reliable procedures for solving Stein and Riccati equations. The formulas apply in particular to general descriptor systems or polynomial matrices. The main novelty is that we allow for arbitrary rank, poles and zeros on the unit circle, or at infinity.