In spite of its name, the normal form for a given M is not entirely unique, as it is a block diagonal matrix formed of Jordan blocks, the order of which is not fixed; ...
1 Jordan blocks and Jordan form. A Jordan Block of size m and value λ is a matrix Jm(λ) having the value λ repeated along the main diagonal, ones along the ...
unique up to a rearrangement of the order of the Jordan blocks, and is called the ...
The number of Jordan blocks of order k with diagonal entry λ is given by rank(A− λI)k−1−2rank(A−λI)k+rank(A−λI)k+1. Here, the geometric multiplicities of λ=1, ...
where Jm(λ) is a square matrix of order m of the form Jm(λ)=‖λ1λ10……0λ1λ‖,. λ∈k . The matrix Jm(λ) is called the Jordan block of order m ...
This mathematical formalism can be generalized to quasistationary systems associated with higher order poles of the S-matrix, which leads to a ...
Jordan Block. A matrix, also called a canonical box matrix, having zeros everywhere except along the diagonal and superdiagonal, with each element of the ...
The order of the Jordan blocks in the matrix is not unique. Generalized Eigenvectors and Jordan Chains. Consider a Jordan block of size k associated with an ...
When constructing the jordan normal form of the matrix A one has to construct the jordan blocks corresponding to the eigenvalues λi of the ...
J diagonal is the special case of n Jordan blocks of size ni = 1. • Jordan form is ...