symplectic matrix

Noun

 * 1)  For given field F (especially the real numbers), even order 2n and nonsingular skew-symmetric matrix Ω, any 2n×2n matrix M with elements in F such that MTΩM = Ω (where MT denotes the transpose of M).

Usage notes
Ω is often chosen to be the block matrix $$\textstyle\Omega = \begin{bmatrix} 0 & I_n \\ -I_n & 0 \end{bmatrix}$$, where In is the n×n identity matrix.

Translations

 * Chinese:
 * Mandarin: 辛矩陣
 * Finnish: symplektinen matriisi
 * French: matrice symplectique
 * German: symplektische Matrix
 * Italian: matrice simplettica