DOSEN PROFIL LENGKAP

A diagonal matrix is one whose off-diagonal entries are all zero. A superdiagonal entry is one that is directly above and to the right of the main diagonal...

off-diagonal entry equal to 1, immediately above the main diagonal (on the superdiagonal), and with identical diagonal entries to the left and below them. Let...

matrix with ones only on the superdiagonal or subdiagonal, and zeroes elsewhere. A shift matrix U with ones on the superdiagonal is an upper shift matrix...

subdiagonal, and a lower Hessenberg matrix has zero entries above the first superdiagonal. They are named after Karl Hessenberg. A Hessenberg decomposition is...

diagonal. Hence, this matrix is not diagonalizable. Since there is one superdiagonal entry, there will be one generalized eigenvector of rank greater than...

.., X - 1] b[] = main diagonal, indexed from [0, ..., X - 1] c[] = superdiagonal, indexed from [0, ..., X - 2] scratch[] = scratch space of length X...

finite-dimensional case. Because there are non-zero entries on the superdiagonal, equality may be violated. The quasinilpotent operators is one class...

diagonal, which is filled with λ {\displaystyle \lambda } and for the superdiagonal, which is composed of ones. Any block diagonal matrix whose blocks are...

\\0&0&0&\ldots &1\\0&0&0&\ldots &0\end{bmatrix}}.} This matrix has 1s along the superdiagonal and 0s everywhere else. As a linear transformation, the shift matrix...

diagonal elements, and two of length n − 1 containing the subdiagonal and superdiagonal elements. The discretization in space of the one-dimensional diffusion...

eigenvalues on the leading diagonal, and either ones or zeroes on the superdiagonal – known as Jordan normal form. Some matrices are not diagonalizable...

zero entries below the first subdiagonal, zero entries above the first superdiagonal, or both Hessian matrix, a square matrix of second-order partial derivatives...

only if T is similar to a matrix whose only nonzero entries are on the superdiagonal(this fact is used to prove the existence of Jordan canonical form)....

constructed by taking the matrix exponential of a special subdiagonal or superdiagonal matrix. The example below constructs a 7 × 7 Pascal matrix, but the...

subdiagonal is real by construction, the same is true for its first superdiagonal. Therefore, H {\displaystyle H} is a real, symmetric matrix—the matrix...

diagonalised matrix, where the only non-zero elements appear on the lead and superdiagonals. Linear independence — two or more vectors are linearly independent...

filtration by normal subgroups N+(k) with zeros in the first k − 1 superdiagonals and the successive quotients are Abelian. Defining Nσ(k) and Mσ(k) to...

{\displaystyle X=(x_{1},\dots ,x_{p})} . The exterior product of the superdiagonal elements defines a differential form ( X ′ d X ) := ⋀ 1 ≤ i < j ≤ p...

triangular matrices with 1s one the diagonal and 0s on the first m−1 superdiagonals. The group U1 has order pn·(n−1)/2, nilpotency class n, and exponent...

{\displaystyle W_{ii}} in the main block are eigenvalues. The first superdiagonal blocks W i , i + 1 {\displaystyle W_{i,i+1}} are full column rank n...

zero. A lower Hessenberg matrix is one for which all entries above the superdiagonal are zero. Matrices that are both upper and lower Hessenberg are tridiagonal...

The inverse of a Lehmer matrix is a tridiagonal matrix, where the superdiagonal and subdiagonal have strictly negative entries. Consider again the n×n...

matrix: real :: A(m,n) ! a banded matrix with kl subdiagonals and ku superdiagonals real :: AP(-kl:ku,n) ! packed storage for A ! the band of A is stored...