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 nxn.

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.