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robustsur (version 0.0-8)

eigenkronecker: Spectral Decomposition of a kronecker product of a matrix with an identity matrix

Description

Computes eigenvalues and eigenvectors of the kronecker product of a matrix with an identity matrix.

Usage

eigenkronecker(x, n)

Value

The spectral decomposition of kronecher product between x and an identity matrix of dimesion n is returned as a list with components

values

a vector containing the eigenvalues.

vectors

a matrix whose columns contain the eigenvectors.

Arguments

x

a numeric or complex symmetric matrix whose spectral decomposition is to be computed. Logical matrices are coerced to numeric.

n

dimension of the identity matrix.

Author

Claudio Agostinelli and Giovanni Saraceno

Details

Only symmetric matrices are considered.

References

R.A. Horn and C.R. Johnson (1994) Topics in Matrix Analysis, Cambridge University Press. Theorem 4.2.12.

See Also

Examples

Run this code
 eigenkronecker(x=cbind(c(1,-1), c(-1,1)), n=2)

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