{"title":"正半有限矩阵中的广义对角线","authors":"Robert Angarone, Daniel Soskin","doi":"arxiv-2409.06907","DOIUrl":null,"url":null,"abstract":"We describe all inequalities among generalized diagonals in positive\nsemi-definite matrices. These turn out to be governed by a simple partial order\non the symmetric group. This provides an analogue of results of Drake, Gerrish,\nand Skandera on inequalities among generalized diagonals in totally nonnegative\nmatrices.","PeriodicalId":501407,"journal":{"name":"arXiv - MATH - Combinatorics","volume":"206 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Generalized Diagonals in Positive Semi-Definite Matrices\",\"authors\":\"Robert Angarone, Daniel Soskin\",\"doi\":\"arxiv-2409.06907\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We describe all inequalities among generalized diagonals in positive\\nsemi-definite matrices. These turn out to be governed by a simple partial order\\non the symmetric group. This provides an analogue of results of Drake, Gerrish,\\nand Skandera on inequalities among generalized diagonals in totally nonnegative\\nmatrices.\",\"PeriodicalId\":501407,\"journal\":{\"name\":\"arXiv - MATH - Combinatorics\",\"volume\":\"206 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Combinatorics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2409.06907\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Combinatorics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.06907","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Generalized Diagonals in Positive Semi-Definite Matrices
We describe all inequalities among generalized diagonals in positive
semi-definite matrices. These turn out to be governed by a simple partial order
on the symmetric group. This provides an analogue of results of Drake, Gerrish,
and Skandera on inequalities among generalized diagonals in totally nonnegative
matrices.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
