In mathematics, a Hamiltonian matrix is a matrix that satisfies the condition that KA is Hermitian, where K is the skew-symmetric matrix
and In is the n × n identity matrix. In other words, A is Hamiltonian if and only if
where * denotes the conjugate transpose. For real matrices, the above condition is fulfilled if KA is symmetric. In the vector space of all 2n × 2n matrices, Hamiltonian matrices form a subspace of dimension 2n2 + n.
Read more about Hamiltonian Matrix: Properties, Hamiltonian Operators
Famous quotes containing the word matrix:
“The matrix is God?
In a manner of speaking, although it would be more accurate ... to say that the matrix has a God, since this beings omniscience and omnipotence are assumed to be limited to the matrix.
If it has limits, it isnt omnipotent.
Exactly.... Cyberspace exists, insofar as it can be said to exist, by virtue of human agency.”
—William Gibson (b. 1948)