Zaineb Sarir

collaborators

2 papers

math.CO2024

Quasi-orthogonal extension of symmetric matrices

Abderrahim Boussaïri, Brahim Chergui, Zaineb Sarir +1

An $n \times n$ real matrix $Q$ is quasi-orthogonal if $Q^{⊤} Q = q I_{n}$ for some positive real number $q$ . If $M$ is a principal sub-matrix of a quasi-orthogonal matrix $Q$ , we sa…

math.CO2024

Quasi-orthogonal extension of skew-symmetric matrices

Abderrahim Boussaïri, Brahim Chergui, Zaineb Sarir +1

A real matrix $Q$ is quasi-orthogonal if $Q^{⊤} Q = q I$ , for some positive real number $q$ . We prove that any $n \times n$ skew-symmetric matrix $S$ is a principal sub-matrix of a s…