A METHOD FOR THE INVERSE NUMERICAL RANGE PROBLEM

作者：Chorianopoulos Christos^*; Psarrakos Panayiotis; Uhlig Frank

来源：Electronic Journal of Linear Algebra, 2010, 20: 198-206.

DOI：10.13001/1081-3810.1368

• Numerical range
• Inverse problem
• Field of values
• Geometric computing
• Generating vector

For a given complex square matrix A, we develop, implement and test a fast geometric algorithm to find a unit vector that generates a given point in the complex plane if this point lies inside the numerical range of A, and if not, the method determines that the given point lies outside the numerical range.

• 出版日期2010-3