{
"title": "An Iterative Algorithm to Compute the Generalized Inverse A(2) T,S Under the Restricted Inner Product",
"authors": "Xingping Sheng",
"country": null,
"institution": null,
"volume": "68",
"journal": "International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering",
"pagesStart": 900,
"pagesEnd": 905,
"ISSN": "1307-6892",
"URL": "http:\/\/waset.org\/publications\/9544",
"abstract": "Let T and S be a subspace of Cn and Cm, respectively.\r\nThen for A \u2208 Cm\u00d7n satisfied AT \u2295 S = Cm, the generalized\r\ninverse A(2)\r\nT,S is given by A(2)\r\nT,S = (PS\u22a5APT )\u2020. In this paper, a\r\nfinite formulae is presented to compute generalized inverse A(2)\r\nT,S\r\nunder the concept of restricted inner product, which defined as <\r\nA,B >T,S=< PS\u22a5APT,B > for the A,B \u2208 Cm\u00d7n. By this\r\niterative method, when taken the initial matrix X0 = PTA\u2217PS\u22a5, the\r\ngeneralized inverse A(2)\r\nT,S can be obtained within at most mn iteration\r\nsteps in absence of roundoff errors. Finally given numerical example\r\nis shown that the iterative formulae is quite efficient.",
"references": null,
"publisher": "World Academy of Science, Engineering and Technology",
"index": "International Science Index 68, 2012"
}