SchurDecomposition

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Gives the real Schur decomposition `{q, t}` of a square machine-precision

Bentuk

SchurDecomposition[m]

SchurDecomposition[{m, a}]

Contoh disahkanSchurDecomposition[N[{{1, 2}, {0, 3}}]] → {{{1., 0.}, {0., 1.}}, {{1., 2.}, {0., 3.}}}SchurDecomposition[N[{{0, 1}, {-1, 0}}]] → {{{1., 0.}, {0., 1.}}, {{0., 1.}, {-1., 0.}}}a = N[{{4, 1, 0}, {1, 3, 1}, {0, 1, 2}}]; {q, t} = SchurDecomposition[a]; Chop[q . t . Transpose[q] - a] → {{0, 0, 0}, {0, 0, 0}, {0, 0, 0}}Round[Sort[Diagonal[Last[SchurDecomposition[N[{{4, 1, 0}, {1, 3, 1}, {0, 1, 2}}]]]]], 0.0001] → {1.2679, 3., 4.7321}SchurDecomposition[{{1, 2}, {3, 4}}] → SchurDecomposition::schurf: SchurDecomposition has received a matrix with infinite precision. SchurDecomposition[{{1, 2}, {3, 4}}]

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Berkaitan

OrderedSchurDecomposition QRDecomposition LUDecomposition SingularValueDecomposition JordanDecomposition HessenbergDecomposition EulerMatrix FourierDCTMatrix HadamardMatrix PauliMatrix ReflectionMatrix RollPitchYawMatrix

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