矩阵商的双曲奇异值分解及其应用

摘要

Hyperbolic singular values decompositions of degenerated matrix and undegenerated matrix are obtained , and new arithmetic using hyperbolic singular values decompositions of undegenerated matrix are discussed. Lastly , corresponding numerical experiment verified the availability of these algorithms.%给出了两个退化的和非退化的双曲奇异值分解定理，并用非退化的双曲奇异值分解提出了无约束和等式约束不定最小二乘问题的新的算法。最后，数值实验的结果表明该新算法是有效的。