DERIVATIVES OF THE DIAMETER AND THE AREA OF A CONNECTED COMPONENT OF THE PSEUDOSPECTRUM

作者：Armentia Gorka^*; Gracia Juan Miguel; Velasco Francisco E

来源：Electronic Journal of Linear Algebra, 2011, 22: 1004-1019.

• Matrices
• Pseudospectra
• Condition number
• Eigenvalues
• Derivatives

The paper concerns the relation between the following two quantities.
(i) The Holder condition number of an eigenvalue lambda of a square complex matrix.
(ii) The rate of growth of the diameter and the area of the connected component of the epsilon-pseusospectrum containing lambda.

• 出版日期2011-10