SchurDecomposition

SchurDecomposition[m]
yields the Schur decomposition for a numerical matrix m, given as a list {q, t} where q is an orthonormal matrix and t is a block upper-triangular matrix.

SchurDecomposition[{m, a}]
gives the generalized Schur decomposition of m with respect to a.

MORE INFORMATION

The original matrix m is equal to q.t.Conjugate[Transpose[q]]. »

The matrix m must be square.

SchurDecomposition[m, Pivoting->True] yields a list {q, t, d} where d is a permuted diagonal matrix such that m.d is equal to d.q.t.Conjugate[Transpose[q]]. »

SchurDecomposition[{m, a}] yields a list of matrices {q, s, p, t} where q and p are orthonormal matrices, s and t are upper-triangular matrices, such that m is given by q.s.Conjugate[Transpose[p]] and a is given by q.t.Conjugate[Transpose[p]]. »

EXAMPLES

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Basic Examples (1)

Find the Schur decomposition of a real matrix:

Scope (3)

Options (2)

Applications (1)

Properties & Relations (3)

Possible Issues (1)