论文信息 - EIGENVALUE CONDITION NUMBERS AND A FORMULA OF BURKE, LEWIS AND OVERTON ∗

EIGENVALUE CONDITION NUMBERS AND A FORMULA OF BURKE, LEWIS AND OVERTON ∗

In a paper by Burke, Lewis and Overton, a first order expansion has been given for the minimum singular value of A−zI, z ∈ C, about a nonderogatory eigenvalue λ of A ∈ C n×n .T his note investigates the relationship of the expansion with the Jordan canonical form of A.F urthermore, formulas for the condition number of eigenvalues are derived from the expansion.

Michael Karow | M. Karow

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