Ballieu's Theorem
For any set 
of Positive numbers with 
and
Then all the Eigenvalues
satisfying 
, where 
is the Characteristic Polynomial, lie on the Disk 
.
References
Gradshteyn, I. S. and Ryzhik, I. M. Tables of Integrals, Series, and Products, 5th ed. San Diego, CA: Academic Press, p. 1119, 1979.
- Gaussian Coefficient
- Gaussian Coordinate System
- Gaussian Curvature
- Gaussian Differential Equation
- Gaussian Distribution
- Gaussian Distribution Linear Combination of Variates
- Gaussian Elimination
- Gaussian Function
- Gaussian Hypergeometric Series
- Gaussian Integer
- Gaussian Integral
- Gaussian Integral (Linking Number)
- Gaussian Joint Variable Theorem
- Gaussian Mountain Range
- Gaussian Multivariate Distribution
- Gaussian Polynomial
- Gaussian Prime
- Gaussian Quadrature
- Gaussian Sum
- Gauss-Jacobi Mechanical Quadrature
- Gauss-Jordan Elimination
- Gauss-Kummer Series
- Gauss-Kuzmin-Wirsing Constant
- Gauss-Laguerre Quadrature
- Gauss-Manin Connection