Stability of iterative algorithms in inner product spaces: An analysis based on the Cauchy-schwarz inequality
Author(s): Sher Singh Raikhola
Abstract: This paper examines the role of the Cauchy-Schwarz inequality in ensuring the stability of iterative algorithms within inner product spaces. The inequality ∣⟨ݑ¢, ݑâߩ∣ ≤ ∥ݑ¢ȥ⋅∥ݑâȥ provides a fundamental bound on the inner product of two vectors, influencing the convergence and stability of various iterative methods employed in computational mathematics and numerical analysis.
Sher Singh Raikhola. Stability of iterative algorithms in inner product spaces: An analysis based on the Cauchy-schwarz inequality. Int J Stat Appl Math 2025;10(1):195-202. DOI: 10.22271/maths.2025.v10.i1b.1964
