Abstract: The author considered the Schur factorization, orthogonal diagonal factorization, Hermite matrix factorization and generalized inverse of quasirow (column) symmetric matrices, gave the  formulas of the Schur factorization, orthogonal diagonal factorization, Hermite matrix factorization and generalized inverse of quasirow (column) symmetric matrices. The calculation results show that the method not only reduces the amount of calculation and storage, but also does not reduce the numerical accuracy.

Key words: quasirow (column) symmetric matrix, Schur factorization, orthogonal diagonal factorization, generalized inverse