{"action":"closed","number":97,"pull_request":{"url":"https://api.github.com/repos/fredrik-johansson/arb/pulls/97","id":60611979,"html_url":"https://github.com/fredrik-johansson/arb/pull/97","diff_url":"https://github.com/fredrik-johansson/arb/pull/97.diff","patch_url":"https://github.com/fredrik-johansson/arb/pull/97.patch","issue_url":"https://api.github.com/repos/fredrik-johansson/arb/issues/97","number":97,"state":"closed","locked":false,"title":"ENH: use sparsity structure more intelligently for matrix power series","user":{"login":"argriffing","id":101416,"avatar_url":"https://avatars.githubusercontent.com/u/101416?v=3","gravatar_id":"","url":"https://api.github.com/users/argriffing","html_url":"https://github.com/argriffing","followers_url":"https://api.github.com/users/argriffing/followers","following_url":"https://api.github.com/users/argriffing/following{/other_user}","gists_url":"https://api.github.com/users/argriffing/gists{/gist_id}","starred_url":"https://api.github.com/users/argriffing/starred{/owner}{/repo}","subscriptions_url":"https://api.github.com/users/argriffing/subscriptions","organizations_url":"https://api.github.com/users/argriffing/orgs","repos_url":"https://api.github.com/users/argriffing/repos","events_url":"https://api.github.com/users/argriffing/events{/privacy}","received_events_url":"https://api.github.com/users/argriffing/received_events","type":"User","site_admin":false},"body":"Avoid adding unnecessary matrix power truncation terms to functions of nilpotent or \"partially nilpotent\" matrices. An example (maybe unnecessarily contrived) is the nilpotent matrix\r\n```\r\nA =\r\n[0 2^-100 0]\r\n[0 0 2^100]\r\n[0 0 0]\r\n```\r\nfor which the matrix exponential with `prec=32` used to have large error bounds\r\n```\r\n[1 +/- 0, 7.88860905221012e-31 +/- 2.0842e+13, 0.5 +/- 1.321e+43]\r\n[0 +/- 0, 1 +/- 0, 1.26765060022823e+30 +/- 2.0842e+13]\r\n[0 +/- 0, 0 +/- 0, 1 +/- 0]\r\n```\r\nbut which is now recognized as having no error:\r\n```\r\n[1 +/- 0, 7.88860905221012e-31 +/- 0, 0.5 +/- 0]\r\n[0 +/- 0, 1 +/- 0, 1.26765060022823e+30 +/- 0]\r\n[0 +/- 0, 0 +/- 0, 1 +/- 0]\r\n```\r\n\r\nThe PR includes a test, but no new docs yet. It also includes some new utility functions in 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