defective matrix

短语

词形变化

defective matrices 复数 defective matrices

释义与例句

n.
  1. 1.

    A square (n×n) matrix that has fewer than n linearly independent eigenvectors, and is therefore not diagonalisable.

    数学

    1994, Sigal Ar, Jin-Yi Cai, Chapter 5: Reliable Benchmarks Using Numerical Stability, Proceedings of the Fifth Annual ACM-SIAM Symposium on Discrete Algorithms, Association for Computing Machinery, Society for Industrial and Applied Mathematics, page 41, An n x n matrix A is a defective matrix if it has a defective eigenvalue. Obviously, a Jordan block of dimension greater than 1, and a matrix whose Jordan canonical form has a Jordan block of dimension greater than 1, are defective matrices.