A rational canonical form algorithm

A Rational Canonical Form Algorithm

Rational Canonical Form

In mathematics, complete classification of structures, such as groups and rings, is often a primary goal. Linear transformations are no exception to this. Certain canonical forms exist to classify linear transformations, therefore creating a unique representative of linear transformations in the same similarity class. Diagonal representation is of course one of the simplest examples of a canoni...

A Canonical Form Algorithm Forprovingequivalence 0 F Conditionalforms

In [ 1) axioms and canonical form algorithms for proving equivalence for the theory of conditional forms are presented. These algorithms form the foundation of [2] where they are extended to enable proving the correctness of compilation. The algorithms are distinguished on the basis of whether or not strong or weak equivalence is desired. In the case of strong equivalence, an additional set of ...

An Efficient Enumeration Algorithm for Canonical Form Underspecified Semantic Representations

We give polynomial-time algorithms for satisfiability and enumeration of underspecified semantic representations in a canonical form. This canonical form brings several underspecification formalisms together into a uniform framework (Manshadi et al., 2008), so the algorithms can be applied to any underspecified representation that can be converted to this form. In particular, our algorithm can ...

Kronecker's Canonical Form and the Qz Algorithm By

In the Q,Z algorithm the eigenvalues of Ax = ABx are computed via a reduction to the form & = AEx where A" and E are upper triangular. The eigenvalues are given by hi = aii/bii . It is shown that when the pencil A" hg is singular or nearly -_ N singular a value of hi may have no significance even when aii and cii are of full size.