ANSYS, Inc.
Systems and methods for fast matrix decomposition in model generation

Abstract:

Systems and methods are provided for generating a state space model of a physical system. A matrix decomposition module is configured to receive input data and determine a size of an input matrix based on the input data. When the input matrix size is below a threshold, a singular value decomposition of the input matrix is determined using a first technique. When the input matrix size is above the threshold the input matrix is subdivided into a plurality of subparts. For each subpart, a separability value of that subpart is determined. When the separability value indicates that the subpart is well separated, a singular value decomposition of that subpart is determined using a second technique. When the separability value indicates that the subpart is not well separated, data associated with that subpart is provided to the matrix decomposition module via a recursive call.