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Topological proofs for certain theorems on matrices with non-negative elements
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inferredcites →https://doi.org/10.1080/00029890.1949.11990209openalex-snapshot
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inferred← citeshttps://doi.org/10.1002/0471667196.ess1099.pub2openalex-snapshot
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inferred← citeshttps://doi.org/10.1002/9781118445112.stat02259openalex-snapshot
M ‐Matrices in Statistics
inferred← citeshttps://doi.org/10.1002/zamm.19880680211openalex-snapshot
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inferred← citeshttps://doi.org/10.1002/zamm.19880681127openalex-snapshot
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inferred← citeshttps://doi.org/10.1002/zamm.19920720909openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-1-4615-3600-0_8openalex-snapshot
m Applications of M-Matrices
inferred← citeshttps://doi.org/10.1007/978-3-642-64971-4_2openalex-snapshot
Positive Definite Matrices, Characteristic Roots, and Positive Matrices
inferred← citeshttps://doi.org/10.1007/978-3-662-35199-4_2openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-7091-6918-6_5openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-7091-6957-5_5openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-7091-8471-4_2openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf00253336openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf00277453openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf01295199openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf01301934openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0022-1996(87)90003-1openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0024-3795(89)90074-8openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0024-3795(93)90289-zopenalex-snapshot
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inferred← citeshttps://doi.org/10.1016/b978-0-12-141050-6.50027-1openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/b978-0-12-358502-8.50020-7openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.amc.2005.09.084openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.amc.2014.06.038openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.cam.2003.09.041openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.camwa.2008.03.033openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.laa.2004.02.013openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.laa.2006.01.013openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.laa.2008.01.006openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.spa.2019.11.012openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/s0024-3795(01)00284-1openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/s0024-3795(96)00411-9openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/s0024-3795(97)00278-4openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/s0024-3795(98)10070-8openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/s0096-3003(96)00172-5openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/s0252-9602(11)60309-3openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/s0377-0427(97)00145-3openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/s1385-7258(64)50067-0openalex-snapshot
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inferred← citeshttps://doi.org/10.1023/a:1009997411503openalex-snapshot
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inferred← citeshttps://doi.org/10.1023/a:1014717701732openalex-snapshot
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inferred← citeshttps://doi.org/10.1063/1.3241458openalex-snapshot
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inferred← citeshttps://doi.org/10.1080/00207160.2021.1952572openalex-snapshot
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inferred← citeshttps://doi.org/10.1080/02331930601124971openalex-snapshot
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inferred← citeshttps://doi.org/10.1080/03081088008817334openalex-snapshot
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inferred← citeshttps://doi.org/10.1080/03081088608817726openalex-snapshot
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inferred← citeshttps://doi.org/10.1080/07474946.2014.856642openalex-snapshot
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inferred← citeshttps://doi.org/10.1081/nfa-100108319openalex-snapshot
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inferred← citeshttps://doi.org/10.1090/s0002-9939-1970-0260765-xopenalex-snapshot
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inferred← citeshttps://doi.org/10.1090/s0025-5718-1973-0325650-4openalex-snapshot
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inferred← citeshttps://doi.org/10.1090/s0025-5718-1990-0995208-2openalex-snapshot
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inferred← citeshttps://doi.org/10.1109/cdc.2017.8264648openalex-snapshot
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inferred← citeshttps://doi.org/10.1109/icassp.2016.7472899openalex-snapshot
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inferred← citeshttps://doi.org/10.1109/icnc.2007.317openalex-snapshot
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inferred← citeshttps://doi.org/10.1109/tac.2019.2948194openalex-snapshot
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inferred← citeshttps://doi.org/10.1109/tac.2021.3065191openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/0125002openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/0614029openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/0708033openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/0709011openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/0713052openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/0724018openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/0727006openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/1020037openalex-snapshot
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inferred← citeshttps://doi.org/10.13001/1081-3810.1094openalex-snapshot
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inferred← citeshttps://doi.org/10.1553/etna_vol58s621openalex-snapshot
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inferred← citeshttps://doi.org/10.21136/am.2022.0146-21openalex-snapshot
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inferred← citeshttps://doi.org/10.4028/www.scientific.net/amr.756-759.2615openalex-snapshot
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inferred← citeshttps://doi.org/10.4134/ckms.2013.28.3.603openalex-snapshot
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inferred← citeshttps://doi.org/10.48550/arxiv.2007.07815openalex-snapshot
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inferred← citeshttps://doi.org/10.6028/nbs.rpt.6217openalex-snapshot
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Methods for Inference in Graphical Models
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