MakeSym

Make a symmetric matrix by specifying a near-symmetric matrix M, or the lower triangular elements lowerTri with diagonal.

Implements operations for Riemannian manifolds, e.g., geodesic distance, Riemannian metric, exponential and logarithm maps, etc. Also incorporates random object generator on the manifolds. See Dai, Lin, and Müller (2021) <doi:10.1111/biom.13385>.

Xiongtao Dai

manifold

Operations for Riemannian Manifolds

Zhenhua Lin

MakeSym function

<dl><dt>M</dt>
<dd>A near-symmetric matrix</dd>
<dt>lowerTri</dt>
<dd>A vector containing the lower triangular elements of the matrix. This is an alternative way to specify the matrix.</dd>
<dt>doubleDiag</dt>
<dd>Only meaningful for lowerTri is not missing. Whether the diagonal elements should be multiplied by sqrt(2) for doubling the squared norm of the lower triangle</dd></dl>

Arguments

Make a symmetric matrix by specifying a near-symmetric matrix M, or the lower triangular elements lowerTri with diagonal. — MakeSym

<dl>

<dt>M</dt>
<dd>A near-symmetric matrix</dd>


<dt>lowerTri</dt>
<dd>A vector containing the lower triangular elements of the matrix. This is an alternative way to specify the matrix.</dd>


<dt>doubleDiag</dt>
<dd>Only meaningful for lowerTri is not missing. Whether the diagonal elements should be multiplied by sqrt(2) for doubling the squared norm of the lower triangle</dd>

</dl>

MakeSym: Make a symmetric matrix by specifying a near-symmetric matrix M, or the lower triangular elements lowerTri with diagonal.

Description

Usage

Value

Arguments