Decay bounds and algorithms for approximating functions of sparse matrices.
Decomposition of an updated correlation matrix via hyperbolic transformations
An algorithm for hyperbolic singular value decomposition of a given complex matrix based on hyperbolic Householder and Givens transformation matrices is described in detail. The main application of this algorithm is the decomposition of an updated correlation matrix.
Degeneration and complexity of bilinear maps: Some asymptotic spectra.
Determinants of multiplicative Toeplitz matrices
Determination of matrices of the desired 2-D characteristic polynomial
Direct methods for matrix Sylvester and Lyapunov equations.
Discrete-time symmetric polynomial equations with complex coefficients
Discrete-time symmetric polynomial equations with complex coefficients are studied in the scalar and matrix case. New theoretical results are derived and several algorithms are proposed and evaluated. Polynomial reduction algorithms are first described to study theoretical properties of the equations. Sylvester matrix algorithms are then developed to solve numerically the equations. The algorithms are implemented in the Polynomial Toolbox for Matlab.