block matrix

The problem can then be written in the following block matrix form:

This definition can be seen more clearly if we write the state as a block matrix:

Usually the entries are numbers or expressions, but can even be matrices themselves (see block matrix).

In mathematics, block structure is a possible property of matrices - see block matrix.

In the last few years, researchers have finally reopened the blocked matrices of astrology and replaced it with a new science.

Now we can obtain the inverse of the symmetric block matrix:

It is called simple block matrix inversion.

The naive algorithm is then used over the block matrices, computing products of submatrices entirely in fast memory.

Specifically, a supermatrix is a 2x2 block matrix with entries in a superalgebra (or superring).

Consider a block matrix:

One special but common case is block matrices, which may be considered as matrices whose entries themselves are matrices.

Bidirectional networks are similar to Hopfield networks, with the special case that the matrix is a block matrix.

Any matrix may be interpreted as a block matrix in one or more ways, with each interpretation defined by how its rows and columns are partitioned.

In mathematics, block matrix pseudoinverse is a formula of pseudoinverse of a partitioned matrix.

In mathematics, the Kronecker product, denoted by , is an operation on two matrices of arbitrary size resulting in a block matrix.

There is a brilliant description in Koestler's 'The Act of Creation' of what he calls the' blocked matrices' of science.

Thus, we decomposed the block matrix pseudoinverse into two submatrix pseudoinverses, which cost n- and p-square matrix inversions, respectively.

Similarly, foliations correspond to G-structures coming from block matrices, together with integrability conditions so that the Frobenius theorem applies.

When n is even, the even subalgebra can be identified with the block diagonal matrices (when partitioned into 2x2 block matrix).

In mathematics, a block matrix or a partitioned matrix is a matrix which is interpreted as having been broken into sections called blocks or submatrices.

The mass matrix is the diagonal block matrix where each in each block the diagonal elements are the mass of the corresponding particle:

The Jacobi Method has been generalized to complex Hermitian matrices, general nonsymmetric real and complex matrices as well as block matrices.

Interestingly, from the idempotence of projection matrix, we can verify that the pseudoinverse of block matrix consists of pseudoinverse of projected matrices:

Another example is for a foliation, which requires a reduction of the tangent bundle to a block matrix subgroup, together with an integrability condition so that the Frobenius theorem applies.

As each invariant factor a(x) is a polynomial in F[x], we may associate a corresponding block matrix C which is the companion matrix to a(x).