Abstract. In this paper, Let the matrix 𝐴 ∈ 𝐶𝑛×𝑛 with Ind (𝐴) = 𝑘, we first construct two bordered matrices based on [32], which gave a method for computing the null space of 𝐴𝑘 by applying ...

A symbolic formula is given for the square-root-free Cholesky decomposition of the variance-covariance matrix of the multinomial distribution. The evaluation of the symbolic Cholesky factors requires ...