Lexic.us

Definition of Eigenvalue

1. Noun. (mathematics) any number such that a given square matrix minus that number times the identity matrix has a zero determinant.

Definition of Eigenvalue

1. Noun. (linear algebra) The change in magnitude of a vector that does not change in direction under a given linear transformation; a scalar factor by which an eigenvector is multiplied under such a transformation. ¹

¹ Source: wiktionary.com

Definition of Eigenvalue

1. [n -S]

Lexicographical Neighbors of Eigenvalue

Literary usage of Eigenvalue

Below you will find example usage of this term as found in modern and/or classical literature:

1. Proceedings of the Berkeley-Ames Conference on Nonlinear Problems in Control by Louis R. Hunt, Clyde Martin (1984)
"We show here that these same geometric Ideas can be used to study the numerical matrix eigenvalue methods. In this way, we can obtain a better understanding ..."

2. Inequalities in Statistics and Probability: Proceedings of the Symposium on by Yung Liang Tong (1984)
"This model leads to eigenvalue inequalities for random evolutions. The second gives a proof by Charles M. Newman of one of these inequalities. ..."

3. Real Analysis by Andrew M. Bruckner, Judith B. Bruckner, Brian S. Thomson (1997)
"We can apply Theorem 14.38 at the first stage to select an eigenvalue Xi of ... At each stage, we select an eigenvalue Xn of Tn, but we do not know that Xn ..."

4. Buckling of Bars, Plates, and Shells by Robert M. Jones (2006)
"We will see that the shortcomings of a linear eigenvalue analysis mean that we ... 1.3.2 General Nature of Linear eigenvalue Analysis We find the general ..."

5. Topics in Physical Geometry by Robert Hermann (1988)
"eigenvalue SYSTEMS ASSOCIATED WITH PAIRS OF COMMUTING OPERATORS Suppose now that D1 and D2 are linear, ordinary differential operators of order n and m ..."

6. Geometry of Non-Linear Differential Equations, Backlund Transformations, and by Robert Hermann (1976)
"eigenvalue PROBLEMS FOR LINEAR, ORDINARY DIFFERENTIAL EQUATION SYSTEMS Suppose now that the system (2.1) is linear, eg, of the form = A(x,A)y , (3.1) where, ..."

7. 3-D Deterministic Radiation Transport Computer Programs: Features by OECD Nuclear Energy Agency (1997)
"Sample plots of the largest magnitude (among two) eigenvalue of the AP with reciprocal averaging for the PHI configuration over the Fourier plane are ..."

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