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Hermitian matrix

In mathematics, a Hermitian matrix (or self-adjoint matrix) is a square matrix with complex-valued entries that is equal to its own conjugate transpose. That is, if the element in the ⁠ j {\displaystyle j} ⁠-th row and ⁠ k {\displaystyle k} ⁠-th column of a Hermitian matrix ⁠ A {\displaystyle A} ⁠ is some complex number ⁠ A j k = x + i y {\displaystyle…

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Decomposition into Hermitian and skew-Hermitian matrices

Rayleigh quotient

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Hermitian matrix

Nodes80
Edges79
Triples59
Avg. degree1.98
Density0.025
Components1

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Hermitian matrix

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related to External links · 13
Hermitian matrix → An Ellipse, Chao-Kuei Hung, Chaoyang University, Dr, EMS Press, Encyclopedia, Geo Archived, Hermitian, Hermitian Matrices, Mathematics, MathPages, Visualizing Hermitian Matrix, Wayback Machine
see also · 10
Hermitian matrix → Algebraic, Characterizes, Complex, Counts, Generalization, Hermitian, Horn, Linear, Matrix, Unitary
related to Decomposition into Hermitian and skew-Hermitian matrices · 8
Hermitian matrix → A-A, Additional, An, C-C, Hermitian, The, This, Toeplitz
related to A defines a Hermitian form · 5
Hermitian matrix → Conversely, Hermitian, If, That, The
related to Eigendecomposition · 5
Hermitian matrix → Hermitian, If, Taking, Therefore, UU
related to Diagonalizable · 3
Hermitian matrix → Hermitian, That, The
related to Inverse of Hermitian matrix is Hermitian · 3
Hermitian matrix → Hermitian, If, The
related to Real determinant · 3
Hermitian matrix → For, Hermitian, The
related to Singular values · 3
Hermitian matrix → Hermitian, Since, The
related to Main diagonal values are real · 2
Hermitian matrix → Hermitian, The

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hermitian displaystyle matrix matrices real mathsf complex eigenvalues mathbf conjugate overline form transpose symmetric vector also product diagonal space rayleigh

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SubjectPredicateObjectConfidenceSrc
Hermitian matrixrelated to A defines a Hermitian formIf0.60section
Hermitian matrixrelated to A defines a Hermitian formHermitian0.60section
Hermitian matrixrelated to A defines a Hermitian formConversely0.60section
Hermitian matrixrelated to A defines a Hermitian formThat0.60section
Hermitian matrixrelated to A defines a Hermitian formThe0.60section
Hermitian matrixrelated to Decomposition into Hermitian and skew-Hermitian matricesAdditional0.60section
Hermitian matrixrelated to Decomposition into Hermitian and skew-Hermitian matricesHermitian0.60section
Hermitian matrixrelated to Decomposition into Hermitian and skew-Hermitian matricesThe0.60section
Hermitian matrixrelated to Decomposition into Hermitian and skew-Hermitian matricesA-A0.60section
Hermitian matrixrelated to Decomposition into Hermitian and skew-Hermitian matricesThis0.60section
Hermitian matrixrelated to Decomposition into Hermitian and skew-Hermitian matricesAn0.60section
Hermitian matrixrelated to Decomposition into Hermitian and skew-Hermitian matricesC-C0.60section

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