{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,3]],"date-time":"2022-04-03T15:16:31Z","timestamp":1648998991081},"reference-count":11,"publisher":"Hindawi Limited","license":[{"start":{"date-parts":[[2013,1,1]],"date-time":"2013-01-01T00:00:00Z","timestamp":1356998400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2013]]},"abstract":"<jats:p>We give explicit expressions of<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mrow><mml:msub><mml:mrow><mml:mo stretchy=\"false\">(<\/mml:mo><mml:mrow><mml:mi>P<\/mml:mi><mml:mo>\u00b1<\/mml:mo><mml:mi>Q<\/mml:mi><\/mml:mrow><mml:mo stretchy=\"false\">)<\/mml:mo><\/mml:mrow><mml:mi>d<\/mml:mi><\/mml:msub><\/mml:mrow><\/mml:math>of two matrices<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M2\"><mml:mrow><mml:mi>P<\/mml:mi><\/mml:mrow><\/mml:math>and<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M3\"><mml:mrow><mml:mi>Q<\/mml:mi><\/mml:mrow><\/mml:math>, in terms of<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M4\"><mml:mrow><mml:mi>P<\/mml:mi><\/mml:mrow><\/mml:math>,<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M5\"><mml:mrow><mml:mi>Q<\/mml:mi><\/mml:mrow><\/mml:math>,<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M6\"><mml:mrow><mml:msub><mml:mi>P<\/mml:mi><mml:mi>d<\/mml:mi><\/mml:msub><\/mml:mrow><\/mml:math>, and<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M7\"><mml:mrow><mml:msub><mml:mi>Q<\/mml:mi><mml:mi>d<\/mml:mi><\/mml:msub><\/mml:mrow><\/mml:math>,<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M8\"><mml:mrow><mml:msub><mml:mrow><mml:mo stretchy=\"false\">(<\/mml:mo><mml:mrow><mml:mi>P<\/mml:mi><mml:mo>\u00b1<\/mml:mo><mml:mi>I<\/mml:mi><\/mml:mrow><mml:mo stretchy=\"false\">)<\/mml:mo><\/mml:mrow><mml:mi>d<\/mml:mi><\/mml:msub><\/mml:mrow><\/mml:math>, under the condition that<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M9\"><mml:mi>P<\/mml:mi><mml:mi>Q<\/mml:mi><mml:mo>=<\/mml:mo><mml:mi>P<\/mml:mi><\/mml:math>, and apply the result to finding an explicit representation for the Drazin inverse of some<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M10\"><mml:mn>2<\/mml:mn><mml:mo>\u00d7<\/mml:mo><mml:mn>2<\/mml:mn><\/mml:math>block matrix.<\/jats:p>","DOI":"10.1155\/2013\/479260","type":"journal-article","created":{"date-parts":[[2013,9,11]],"date-time":"2013-09-11T21:01:33Z","timestamp":1378933293000},"page":"1-7","source":"Crossref","is-referenced-by-count":1,"title":["The Explicit Expression of the Drazin Inverse and Its 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