Exact computation: of a matrix symmetrizer using p-adic arithmetic

S K SEN, N R JAYARAM

Abstract


A symmetric solution X of the matrix equation XA = A' X is called a symmetrizer of (an arbitrary matrix) A. A symmetrizer reduces an apparently nonsymmetric matrix eigenvalue problem into a symmetric one. Here we present an implementation of p-adic arithmetic on the Datta method for computing a symmtrizer exactly.

Keywords


Matrix symmetrizer; p-adic arithmetic; Hessenberg matrix.

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