The Inverse Eigenvalue Problem for Paw Form Matrices with Functional Relationship

Abstract

This paper researches the inverse eigenvalue problem for paw form matrices. Paw form matrices with all non-zeros laying in the diagonal, the first and last column and last row, the first column for last column with functional relationship. The inverse eigenvalue problem with two eigenvalue of paw form matrices is discussed. Using the method for solving equation systems, the conditions of the exist of its unique solution and the expressions of the solution are obtained. The numerical algorithm and examples are given.