A characterization of trace zero nonnegative 5x5 matrices

被引：0
|
作者：
Laffey, TJ [1 ]
Meehan, E [1 ]
机构：
[1] Univ Coll Dublin, Dept Math, Dublin 2, Ireland
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 1999年 / 303卷
关键词：
matrix; spectrum; graph; cycles; Petersen graph; nonnegative inverse eigenvalue problem;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let sigma = (lambda(1), lambda(2), lambda(3), lambda(4), lambda(5),) be a list of complex numbers with lambda(1) + lambda(2) + lambda(3) + lambda(4) + lambda(5) = 0. Necessary and sufficient conditions for the existence of an entry-wise nonnegative 5 x 5 matrix A with spectrum sigma are presented. (C) 1999 Elsevier Science Inc. All rights reserved.
引用
收藏
页码：295 / 302
页数：8
相关论文
共 50 条
  • [41] DUPLEXES OF 4X4, 5X5 AND 6X6 LATIN SQUARES
    FREEMAN, GH
    UTILITAS MATHEMATICA, 1985, 27 (MAY) : 5 - 24
  • [42] CFD SIMULATION OF 5x5 ROD BUNDLES WITH SPLIT-TYPE SPACERS
    Podila, K.
    Bailey, J.
    Rao, Y. F.
    Krause, M.
    PROCEEDINGS OF THE 21ST INTERNATIONAL CONFERENCE ON NUCLEAR ENGINEERING - 2013, VOL 4, 2014,
  • [43] EXAMINATION OF THE CU/SI(111) 5X5 STRUCTURE BY SCANNING TUNNELING MICROSCOPY
    WILSON, RJ
    CHIANG, S
    SALVAN, F
    PHYSICAL REVIEW B, 1988, 38 (17): : 12696 - 12699
  • [44] Port Isolation and Array Spacing of a 5x5 Rotman Lens Frequency Decomposer
    Chikhaoui, Khalil
    Alhassoun, Mohammad
    Alshebeili, Saleh
    IEEE ACCESS, 2022, 10 : 7221 - 7224
  • [45] 5 x 5 completely positive matrices
    Berman, A
    Xu, CQ
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2004, 393 : 55 - 71
  • [46] Electron correlation effects in the Si(111)-5x5 and -7x7 surfaces
    Ortega, J
    Yeyati, AL
    Flores, F
    APPLIED SURFACE SCIENCE, 1998, 123 : 131 - 135
  • [47] Axial-flow-induced structural vibration in a 5x5 cylinder cluster
    Lu, Zongyan
    Wang, Peng
    Zhou, Yu
    NUCLEAR ENGINEERING AND DESIGN, 2025, 431
  • [48] Injuries in soccer field 5x5 during 2002-2003 in Greece
    Spagakos, G
    Kontopoulou, I
    Mbidis, CC
    Manoleas, I
    Kagelari, A
    Ragos, L
    Proceedings of the 4th European Sports Medicine Congress EFSMA, 2005, : 133 - 138
  • [49] A 5x5 Microwave Permittivity Sensor Matrix in 0.14-μm CMOS
    Hu, Zhebin
    Vlachogiannakis, Gerasimos
    Pertijs, Michiel A. P.
    de Vreede, Leo
    Spirito, Marco
    2018 IEEE/MTT-S INTERNATIONAL MICROWAVE SYMPOSIUM - IMS, 2018, : 1160 - 1163
  • [50] VALENCE-TRANSITION-INDUCED 5X5 SURFACE RECONSTRUCTION OF SM(0001)
    STENBORG, A
    ANDERSEN, JN
    BJORNEHOLM, O
    NILSSON, A
    MARTENSSON, N
    PHYSICAL REVIEW LETTERS, 1989, 63 (02) : 187 - 190
12345