Accurate computations with Riordan arrays associated with Schröder matrices

Key Points

• This research aims to enhance the accuracy of computations involving Schröder matrices and associated linear systems.
• Investigated the properties of large and little Schröder matrices.
• Utilized total positivity and bidiagonal decomposition techniques.
• Conducted numerical experiments to validate theoretical findings.
• Achieved high relative accuracy in singular values and inverses of Schröder matrices.
• Numerical experiments supported the theoretical accuracy of the proposed methods.