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Persymmetric matrix information


In mathematics, persymmetric matrix may refer to:

  1. a square matrix which is symmetric with respect to the northeast-to-southwest diagonal (anti-diagonal); or
  2. a square matrix such that the values on each line perpendicular to the main diagonal are the same for a given line.

The first definition is the most common in the recent literature. The designation "Hankel matrix" is often used for matrices satisfying the property in the second definition.

and 9 Related for: Persymmetric matrix information

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Persymmetric matrix

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In mathematics, persymmetric matrix may refer to: a square matrix which is symmetric with respect to the northeast-to-southwest diagonal (anti-diagonal);...

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Symmetric matrix

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matrix Hankel matrix Hilbert matrix Persymmetric matrix Sylvester's law of inertia Toeplitz matrix Transpositions matrix See also symmetry in mathematics...

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List of named matrices

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matrices used in mathematics, science and engineering. A matrix (plural matrices, or less commonly matrixes) is a rectangular array of numbers called entries...

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Toeplitz matrix

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multiplied in O ( n 2 ) {\displaystyle O(n^{2})} time. Toeplitz matrices are persymmetric. Symmetric Toeplitz matrices are both centrosymmetric and bisymmetric...

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Transpositions matrix

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T r {\displaystyle Tr} matrix is symmetric matrix. T r {\displaystyle Tr} matrix is persymmetric matrix, i.e. it is symmetric with respect...

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Exchange matrix

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centrosymmetric and persymmetric. Pauli matrices (the first Pauli matrix is a 2 × 2 exchange matrix) Horn, Roger A.; Johnson, Charles R. (2012), Matrix Analysis...

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Determinant

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square matrix. The determinant of a matrix A is commonly denoted det(A), det A, or |A|. Its value characterizes some properties of the matrix and the...

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Bisymmetric matrix

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symmetric centrosymmetric and symmetric persymmetric. The product of two bisymmetric matrices is a centrosymmetric matrix. Real-valued bisymmetric matrices...

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Glossary of invariant theory

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of a matrix permutant (Cayley 1860) perpetuant Roughly an irreducible covariant of a form of infinite order. persymmetrical A persymmetrical matrix is a...

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