References
- Alahmadi A, Jain SK, Leroy A, et al. Decompositions into products of idempotents. Electron J Linear Algebra. 2015;29:74–88. doi: 10.13001/1081-3810.2948
- Hannah J, O'Meara KC. Products of idempotents in regular rings, II. J Algebra. 1989;123:223–239. doi: 10.1016/0021-8693(89)90044-6
- O'Meara KC. Products of idempotents in regular rings. Glasgow Math J. 1986;28:143–152. doi: 10.1017/S0017089500006467
- Hartwig RE, Putcha MS. When is a matrix a difference of two idempotents? Linear Mullinear Algebra. 1990;26:267–277. doi: 10.1080/03081089008817983
- Hartwig RE, Putcha MS. When is a matrix a sum of idempotents? Linear Mullinear Algebra. 1990;26:279–286. doi: 10.1080/03081089008817984
- Tang G, Zhou Y, Su H. Matrices over a commutative ring as sums of three idempotents or three involutions. Linear Multilinear Alg. In press. DOI:10.1080/03081087.2017.1417969
- Wu PY. Sums of idempotent matrices. Linear Algebra Appl. 1990;142:43–54. doi: 10.1016/0024-3795(90)90254-A
- Alahmadi A, Jain SK, Leroy A. Decomposition of singular matrices into idempotents. Linear Multilinear Algebra. 2014;62:13–27. doi: 10.1080/03081087.2012.754439
- Bhaskara Rao KPS. Products of idempotent matrices over integral domains. Linear Algebra Appl. 2009;430:2690–2695. doi: 10.1016/j.laa.2008.11.018
- Botha JD. Idempotent factorization of matrices. Linear Multilinear Algebra. 1996;40:365–371. doi: 10.1080/03081089608818452
- Erdos JA. On products of idempotent matrices. Glasgow Math J. 1967;8:118–122. doi: 10.1017/S0017089500000173
- Facchini A, Leroy A. Elementary matrices and products of idempotents. Linear Multilinear Algebra. 2016;64:1916–1935. doi: 10.1080/03081087.2015.1127885
- Laffey TJ. Products of idempotent matrices. Linear Multilinear Algebra. 1983;14:309–314. doi: 10.1080/03081088308817567
- Baksalary JK, Baksalary OM. Idempotency of linear combinations of two idempotent matrices. Linear Algebra Appl. 2000;321:3–7. doi: 10.1016/S0024-3795(00)00225-1
- Baksalary OM, Benítez J. Idempotency of linear combinations of three idempotent matrices, two of which are commuting. Linear Algebra Appl. 2007;424:320–337. doi: 10.1016/j.laa.2007.02.016
- Özdemir H, Özban AY. On idempotency of linear combinations of idempotent matrices. Appl Math Comput. 2004;159:439–448.
- Baksalary JK, Baksalary OM, Styan GPH. Idempotency of linear combinations of an idempotent matrix and a tripotent matrix. Linear Algebra Appl. 2002;354:21–34. doi: 10.1016/S0024-3795(02)00343-9
- Benítez J, Thome N. Idempotency of linear combinations of an idempotent matrix and a t-potent matrix that commute. Linear Algebra Appl. 2005;403:414–418. doi: 10.1016/j.laa.2005.02.027
- Sarduvan M, Özdemir H. On linear combinations of two tripotent, idempotent, and involutive matrices. Appl Math Comput. 2008;200:401–406.
- Tošić M. On some linear combinations of commuting involutive and idempotent matrices. Appl Math Comput. 2014;233:103–108.
- Baksalary OM, Bernstein DS, Trenkler G. On the equality between rank and trace of an idempotent matrix. Appl Math Comput. 2010;217:4076–4080.
- Wright SE. A note on the equality of rank and trace for an idempotent matrix. Appl Math Comput. 2011;217:7048–7049.
- Hannah J, O'Meara KC. Products of simultaneously triangulable idempotent matrices. Linear Algebra Appl. 1991;149:185–190. doi: 10.1016/0024-3795(91)90333-R
- Fošner A. Automorphisms of the poset of upper triangular idempotent matrices. Linear Multilinear Algebra. 2005;53:27–44. doi: 10.1080/03081080410001711834