STRUCTURED CONDITIONING OF MATRIX FUNCTIONS∗ PHILIP I. DAVIES† Abstract. The existing theory of conditioning for matrix functions f(X):Cn×n → Cn×n does not cater for structure in the matrix X. An extension of this theory is presented in which when X has structure, all perturbations of X are required to have the same structure. Two classes of structured matrices are considered, those comprising ...

of the Dissertation Self-dual Hall Modules by Matthew Bruce Young Doctor of Philosophy in Mathematics Stony Brook University 2013 In the past twenty years Hall algebras have played an important role in many areas of mathematics and physics, including the theory of quantum groups and string theory. In its original setting the Hall algebra is constructed from a finitary exact category, the multip...