HalÃÂyudha (Sanskrit: à ¤¹à ¤²à ¤¾à ¤¯à ¥Âà ¤§) wrote the ', a commentary on Pingala's Chandaḥà ÂÃÂstra, was an Indian Mathematician and poet who lived and worked in the 10th century. The Chandaḥà ÂÃÂstra by the Indian lyricist Piá¹ gala (3rd or 2nd century BC) somewhat cryptically describes a method of arranging two types of syllables to form metres of various lengths and counting them; as interpreted and elaborated by HalÃÂyudha his "method of pyramidal expansion" (meru-prastÃÂra) for counting metres is equivalent to Pascal's triangle.
Halayudha originally resided at the Rashtrakuta capital Manyakheta, now located in Karnataka, where he wrote under the patronage of emperor Krishna III. His Kavi-Rahasya eulogizes Krishna III. Later, he migrated to Ujjain in the Paramara kingdom. There, he composed Má¹Âta-Sañjëvanë in honour of the Paramara king Munja.
Halayudha composed the following works:
History of Rashtrakutas