Wielandt's Theorem
Let the 
Matrix 
satisfy the conditions of the Perron-Frobenius Theorem and the Matrix 
satisfy
for
, 2, ..., 
. Then any Eigenvalue 
of 
satisfies the inequality 
with the equality sign holding only when there exists an Matrix 
(where
is the Kronecker Delta) and
References
Gradshteyn, I. S. and Ryzhik, I. M. Tables of Integrals, Series, and Products, 5th ed. San Diego, CA: Academic Press, p. 1121, 1979.
- Sufficient
- Suitable Number
- Sum
- Summand
- Summatory Function
- Sum-Product Number
- Sum Rule
- Sup
- Characteristic (Partial Differential Equation)
- Characteristic Polynomial
- Characteristic (Real Number)
- Character (Multiplicative)
- Character (Number Theory)
- Character Table
- Charlier's Check
- Chasles-Cayley-Brill Formula
- Chasles's Contact Theorem
- Chasles's Polars Theorem
- Chasles's Theorem
- Chebyshev Approximation Formula
- Chebyshev Constants
- Chebyshev Deviation
- Chebyshev Differential Equation
- Chebyshev Function
- Chebyshev-Gauss Quadrature