It found that, for many customers, its standard off-the-shelf symmetric matrix
did not efficiently fit the asymmetric configurations that the customer often required.
kappa]](X) is the zonal polynomial of mxm complex symmetric matrix
X corresponding to the ordered partition [kappa] = ([k.
kappa]](X) is the zonal polynomial of m x m complex symmetric matrix
X corresponding to the ordered partition k = ([k.
where Q must be a positive definite symmetric matrix
n] and any positive definite symmetric matrix
P [member of] [R.
v] given by a skew- symmetric matrix
A with respect to a pseudo- orthonormal basis [empty set].
SDP problems arise from the well-known linear programming problems by replacing the vector of variables with a symmetric matrix
and replacing the non-negativity constraints with positive semidefinite constraints.
If x = y, then we observe that M is a symmetric matrix
i] [less than or equal to] 0 for all eigenvalues of [lambda], if and only if for any given positive-definite symmetric matrix
Qthere a positive-definite symmetric matrix
Pthat satisfies the Lyapunov equation
matrix C reduces to a positive definite symmetric matrix
P; as a result, (10) reduces to (25).
1[less than or equal to]i,j[less than or equal to]N] be a skew symmetric matrix
of size N.
F represents the skew symmetric matrix
of forces, [epsilon] represents the misalignment error state vector, [SIGMA] represents the skew symmetric matrix
of the Earth rotation rate relative to inertial space, N represents the tensor of the gravitational gradients and R represents the rotation matrix.