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Note on the spectral radius of alternating sign matrices
被引:3
作者
:
Brualdi, Richard A.
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Wisconsin, Dept Math, Madison, WI 53706 USA
Univ Wisconsin, Dept Math, Madison, WI 53706 USA
Brualdi, Richard A.
[
1
]
Cooper, Joshua
论文数:
0
引用数:
0
h-index:
0
机构:
Univ S Carolina, Dept Math, Columbia, SC 29208 USA
Univ Wisconsin, Dept Math, Madison, WI 53706 USA
Cooper, Joshua
[
2
]
机构
:
[1]
Univ Wisconsin, Dept Math, Madison, WI 53706 USA
[2]
Univ S Carolina, Dept Math, Columbia, SC 29208 USA
来源
:
LINEAR ALGEBRA AND ITS APPLICATIONS
|
2014年
/ 442卷
关键词
:
Alternating sign matrix;
ASM;
Spectral radius;
D O I
:
10.1016/j.laa.2013.08.004
中图分类号
:
O29 [应用数学];
学科分类号
:
070104 ;
摘要
:
We show that the n x n so-called diamond alternating sign matrix D-n is the unique n x n alternating sign matrix with maximum spectral radius rho(n), and that lim(n ->infinity) rho(n)/n = 2/pi (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码:99 / 105
页数:7
相关论文
共 4 条
[1]
Bressoud D. M., 1999, PROOFS CONFIRMATIONS
[2]
Patterns of alternating sign matrices
Brualdi, Richard A.
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Wisconsin, Dept Math, Madison, WI 53706 USA
Univ Wisconsin, Dept Math, Madison, WI 53706 USA
Brualdi, Richard A.
Kiernan, Kathleen P.
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Wisconsin, Dept Math, Madison, WI 53706 USA
Univ Wisconsin, Dept Math, Madison, WI 53706 USA
Kiernan, Kathleen P.
Meyer, Seth A.
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Wisconsin, Dept Math, Madison, WI 53706 USA
Univ Wisconsin, Dept Math, Madison, WI 53706 USA
Meyer, Seth A.
Schroeder, Michael W.
论文数:
0
引用数:
0
h-index:
0
机构:
Marshall Univ, Dept Math, Huntington, WV 25755 USA
Univ Wisconsin, Dept Math, Madison, WI 53706 USA
Schroeder, Michael W.
[J].
LINEAR ALGEBRA AND ITS APPLICATIONS,
2013,
438
(10)
: 3967
-
3990
[3]
Horn R. A., 2013, Matrix Analysis, VSecond
[4]
REARRANGEMENTS OF SQUARE MATRICES WITH NON-NEGATIVE ELEMENTS
SCHWARZ, B
论文数:
0
引用数:
0
h-index:
0
SCHWARZ, B
[J].
DUKE MATHEMATICAL JOURNAL,
1964,
31
(01)
: 45
-
&
←
1
→
共 4 条
[1]
Bressoud D. M., 1999, PROOFS CONFIRMATIONS
[2]
Patterns of alternating sign matrices
Brualdi, Richard A.
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Wisconsin, Dept Math, Madison, WI 53706 USA
Univ Wisconsin, Dept Math, Madison, WI 53706 USA
Brualdi, Richard A.
Kiernan, Kathleen P.
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Wisconsin, Dept Math, Madison, WI 53706 USA
Univ Wisconsin, Dept Math, Madison, WI 53706 USA
Kiernan, Kathleen P.
Meyer, Seth A.
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Wisconsin, Dept Math, Madison, WI 53706 USA
Univ Wisconsin, Dept Math, Madison, WI 53706 USA
Meyer, Seth A.
Schroeder, Michael W.
论文数:
0
引用数:
0
h-index:
0
机构:
Marshall Univ, Dept Math, Huntington, WV 25755 USA
Univ Wisconsin, Dept Math, Madison, WI 53706 USA
Schroeder, Michael W.
[J].
LINEAR ALGEBRA AND ITS APPLICATIONS,
2013,
438
(10)
: 3967
-
3990
[3]
Horn R. A., 2013, Matrix Analysis, VSecond
[4]
REARRANGEMENTS OF SQUARE MATRICES WITH NON-NEGATIVE ELEMENTS
SCHWARZ, B
论文数:
0
引用数:
0
h-index:
0
SCHWARZ, B
[J].
DUKE MATHEMATICAL JOURNAL,
1964,
31
(01)
: 45
-
&
←
1
→