In this paper, we equip with an indefinite scalar product with a specific Hermitian matrix, and our aim is to develop some block Krylov methods to indefinite mode. In fact, by considering the block Arnoldi, block FOM, and block Lanczos methods, we design the indefinite structures of these block Krylov methods; along with some obtained results, we offer the application of this methods in solving linear systems, and as the testifiers, we design numerical examples.

中文翻译：

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求解线性方程组的块Lanczos方法的不定Ruhe变体

在本文中，我们配备了具有特定厄米矩阵的不定标量积，我们的目标是将某些块Krylov方法发展为不定模式。实际上，通过考虑块Arnoldi，块FOM和块Lanczos方法，我们设计了这些块Krylov方法的不确定结构。连同一些获得的结果，我们提供了该方法在求解线性系统中的应用，并且作为证明者，我们设计了数值示例。