sym_of_vechs: Symmetric matrix A from vechs(A)

Description Usage Arguments Details Value Author(s) References See Also

View source: R/linearAlgebra-sym_of_vechs.R

Description

Symmetric matrix from its strict half-vectorization.

Usage

1
sym_of_vechs(x, diags)

Arguments

x

Vector of length 0.5 * k(k + 1) - k. Strict half-vectorization of a k by k matrix. \mathrm{vechs} ≤ft( \mathbf{A}_{k \times k} \right).

diags

Vector. Diagonal elements.

Details

Generates an k \times k symmetric matrix from a \frac{1}{2}(k(k + 1)) - k vector. The k \times 1 vector of diagonal values should be supplied.

Value

A matrix.

Author(s)

Ivan Jacob Agaloos Pesigan

References

Wikipedia: Vectorization

Magnus, J. R., & Neudecker, H. (2019). Matrix differential calculus with applications in statistics and econometrics. Wiley. https://doi.org/10.1002/9781119541219

See Also

Other Symmetric Functions: dcap(), mcap_cor(), mcap_diag(), mcap_sym(), pinv_of_dcap(), sym_of_vech()


jeksterslab/linearAlgebra documentation built on Dec. 20, 2021, 10:10 p.m.