2n-by-2n symplectic completions of matrices of order 2n − 1

DOI10.1142/S1793557121500650zbMath1465.15032OpenAlexW3042724197MaRDI QIDQ4985505

Ralph John de la Cruz, Jonathan V. Caalim

Publication date: 23 April 2021

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557121500650

zbMATH Keywords

symplectic matricescompletion problemssubmatrix

Mathematics Subject Classification ID

Factorization of matrices (15A23) Canonical forms, reductions, classification (15A21) Matrix completion problems (15A83)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Each symplectic matrix is a product of four symplectic involutions
• Matrix completion problems over integral domains: the case with a diagonal of prescribed blocks
• Positive definite completions of partial Hermitian matrices
• Complementary bases in symplectic matrices and a proof that their determinant is one
• The positive definite completion problem revisited
• Matrix completion problems
• The autonomous linear quadratic control problem. Theory and numerical solution
• Products of transvections in one conjugacy class in the symplectic group over \(\text{GF}(3)\)
• Completing symplectic matrices
• The doubly negative matrix completion problem
• The Cartan-Dieudonné-Scherk theorems for complex \(S\)-orthogonal matrices
• On completions of symmetric and antisymmetric block diagonal partial matrices
• Products of \(\lambda\)-transvections in Sp(2n,q)
• Parametrization of the Matrix Symplectic Group and Applications
• Structured tools for structured matrices
• Corrigenda to: Introduction to Symplectic Topology
• Products of transvections in one conjugacy class of the symplectic group over the \(p\)-adic numbers

This page was built for publication: 2n-by-2n symplectic completions of matrices of order 2n − 1