Description Usage Arguments Details Value Examples
Dominant eigenstuff of a population matrix projection model.
1 |
A |
a square, nonnegative numeric matrix of any dimension. |
what |
what components of the dominant eigenstuff should be returned. A character vector, which may include:
the default, |
check |
(logical) determines whether the dominant eigenvalue is checked for nonzero imaginary component, and largest absolute value. If either of these occur, then the dominant eigenvalue may not be described as truly dominant. |
eigs
gives the dominant eigenstuff of a population projection model.
This includes the dominant eigenvalue (asymptotic population growth), the
dominant right eigenvector (stable age/stage distribution), and the dominant
left eigenvector (reproductive value). The dominant eigenvalue is the
eigenvalue with the largest real component, and the dominant eigenvectors are
the eigenvectors that correspond to this eigenvalue. If the matrix is
reducible, then there may be other real or complex eigenvalues whose absolute
value are equal in magnitude to that of the dominant eigenvalue. In this case,
eigs
returns the first one, and gives a warning "More than one eigenvalues
have equal absolute magnitude", for information.
A list with possible components that depends on the contents of what
:
the dominant eigenvalue, which describes asymptotic population growth (if A
is primitive; see isPrimitive
). A real, nonnegative numeric
vector of length 1.
the dominant right eigenvector, which describes the stable age/stage structure
(if A
is primitive; see isPrimitive
). A real, nonnegative
numeric vector equal to the dimension of A
in length, scaled to sum to 1.
the dominant left eigenvector, which describes the reproductive value (if
A
is primitive; see isPrimitive
). A real, nonnegative
numeric vector equal to the dimension of A
in length, scaled so that
rv
If only one of these components is returned, then the value is not a list, but a single numeric vector.
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