Based on the relaxed alternating positive semi-definite splitting (RAPSS) preconditioner, in this paper, a new preconditioner, called variant of relaxed alternating positive semi-definite splitting (VRAPSS) preconditioner, is presented and discussed. Spectral properties of the VRAPSS preconditioned matrix are analyzed in detail. Numerical experiments are provided to verify the efficiency of the VRAPSS preconditioner.

中文翻译：

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双鞍点问题的松弛交替正半定分解预处理器的一种变体

基于松弛交替正半定分裂（RAPSS）预处理器，提出并讨论了一种新的预处理器，称为松弛交替正半定分裂（VRAPSS）预处理器。详细分析了VRAPSS预处理矩阵的光谱特性。提供数值实验以验证VRAPSS预处理器的效率。