謝世峰Shieh, Shih-Feng游逸翔You, Yi-Siang2019-09-052017-07-242019-09-052017http://etds.lib.ntnu.edu.tw/cgi-bin/gs32/gsweb.cgi?o=dstdcdr&s=id=%22G060340003S%22.&%22.id.&http://rportal.lib.ntnu.edu.tw:80/handle/20.500.12235/101539無中文摘要In applications a symplectic matrix is often required to be partitioned with a nonsingular block. By applying the complementary bases theorem of Dopico and Johnson in [3], we can rearrange a symplectic matrix with a swap matrix to obtain a nonsingular block. We classify symplectic matrices with corresponding swap matrices. Moreover, a rearrangement of symplectic pair by Mehrmann and Poloni in [8] merges a regular symplectic pair into a symplectic matrix. Therefore we can classify regular symplectic pairs with similar approach.symplectic matrixsymplectic paircomplementary bases theoremHermitian matrixLagrangian subspaceminimal classificationsymplectic matrixsymplectic paircomplementary bases theoremHermitian matrixLagrangian subspaceminimal classification