Sentence examples for an eigenvalue of a from inspiring English sources

In particular, z is not an eigenvalue of A and according to item (ii), the operator (M_+ z)+M_- z)) is injective.

For, the spectral radius ρ(A) is an eigenvalue of A and its eigenspace is denoted by. which includes all positive eigenvectors of A provided that the non-negative matrix A has at least one positive eigenvector(see [15]).

For a nonnegative matrix A ∈ R n × n, let ρ ( A ) be the spectral radius of A. Then ρ ( A ) is an eigenvalue of A and its eigenspace is denoted by Ω ρ ( A ) = Δ { z ∈ R n | A z = ρ ( A ) z }, which includes all positive eigenvectors of A provided that the nonnegative matrix A has at least one positive eigenvector (see Ref. [37]).

For a nonnegative matrix A ∈ R n × n, let ρ ( A ) denote the spectral radius of A. Then ρ ( A ) is an eigenvalue of A and its eigenspace is denoted by Ω ρ ( A ) = Δ { z ∈ R n | A z = ρ ( A ) z }, which includes all positive eigenvectors of A provided that the nonnegative matrix A has at least one positive eigenvector (see Refs. [17]).

Let be an eigenvalue of a matrix.

Proof Let λ be an eigenvalue of A / β.

An extinction parameter is determined as an eigenvalue of an equation describing the temperature rise due to combustion.

Let λ be an eigenvalue of an operator L on a finite dimensional space.

The number λ is an eigenvalue of an n×n-matrix A if and only if A−λIn is not invertible, which is equivalent to :\det(\mathsf{A}-\lambda \mathsf{I}) = 0.\ The polynomial pA in an indeterminate X given by evaluation the determinant det XIn−A) is called the characteristic polynomial of A. It is a monic polynomial of degree n.

Thus it is an isolated eigenvalue of (A(1/Z,0,theta )) if (-itheta in (0,tfrac{pi }{2})).

Denote by (mu(A)) an eigenvalue of (A=Dmathcal{M}).