block diagonal matrixの例文

• The maximum is thereby attained for a block diagonal matrix whose diagonal blocks are square matrices of ones of size k.
• As a consequence of the generalized eigenspace decomposition theorem, one can show that A is similar to a block diagonal matrix of the form
• The direct sum of matrices is a special type of block matrix, in particular the direct sum of square matrices is a block diagonal matrix.
• Equality holds if the matrix is a block diagonal matrix consisting of transposition, the inequality also holds for the column sums of the matrix accordingly.
• The Kronecker delta in the expression ensures that ? 1 = ?'1, so by ordering the configurations appropriately we may cast " A " as a block diagonal matrix:
• The primary rational canonical form is a block diagonal matrix corresponding to such a decomposition into cyclic modules, with a particular form called " generalized Jordan block " in the diagonal blocks, corresponding to a particular choice of a basis for the cyclic modules.
• T, where " Q " is orthogonal and S is a block diagonal matrix with \ scriptstyle \ lfloor { n / 2 } \ rfloor blocks of order 2, plus one of order 1 if " n " is odd; since each single block of order 2 is also an orthogonal matrix, it admits an exponential form.
• 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; it is conventional to group blocks for the same eigenvalue together, but no ordering is imposed among the eigenvalues, nor among the blocks for a given eigenvalue, although the latter could for instance be ordered by weakly decreasing size.
• This equation can be rewritten in matrix form as \ mathbf { F } = \ mathbf { AL \ Pi f }, where \ mathbf { A } is an N \ times N matrix over GF ( " p " ) that contains the elements a _ { ijs }, \ mathbf { L } is a block diagonal matrix, and \ mathbf { \ Pi } is a permutation matrix regrouping the elements in \ mathbf { f } according to the cyclotomic coset index.