Zur iterativen Loesung von linearen Gleichungssystemen
It addresses a fundamental limitation in numerical linear algebra for researchers and practitioners solving linear systems, but the method appears to be an incremental extension without concrete performance numbers.
The paper presents a method that guarantees convergence of fixed-point iterations for solving linear equation systems even when the spectral radius of the iteration matrix is not less than one, demonstrated through calculation examples.
It is well known that a fixed point iteration for solving a linear equation system converges if and only if the spectral radius of the iteration matrix is less than one. A method is presented which guarantees the Fixed Point, even if this condition is not ("spectral radius <1") fulfilled and demonstrated through calculation examples.