G. Azumaya (1954):
Strongly π-regular rings.
Journal of the Faculty of Science Hokkaido University. Ser. 1 Mathematics 13(1),
pp. 034–039.
Available at http://hdl.handle.net/2115/55983.
O. M. Baksalary & G. Trenkler (2021):
The Moore–Penrose inverse: a hundred years on a frontline of physics research.
The European Physical Journal H 46,
pp. 1–10,
doi:10.1140/epjh/s13129-021-00011-y.
M. Bartha (2014):
Quantum Turing automata.
In: Benedikt Löwe & Glynn Winskel: Proceedings 8th International Workshop on Developments in Computational Models, Cambridge, United Kingdom, 17 June 2012,
Electronic Proceedings in Theoretical Computer Science 143.
Open Publishing Association,
pp. 17–31,
doi:10.4204/EPTCS.143.2.
S. Campbell & C. Meyer (2009):
Generalized inverses of linear transformations.
SIAM,
doi:10.1137/1.9780898719048.
N. Cao, J. Lin, D. Kribs, Y.-T. Poon, B. Zeng & R. Laflamme (2021):
NISQ: Error correction, mitigation, and noise simulation.
arXiv preprint arXiv:2111.02345.
J. Chen, Y. Wang, J. Chen & S. Su (2023):
Optimal figure of merit of low-dissipation quantum refrigerators.
Physical Review E 107(4),
pp. 044118,
doi:10.1103/PhysRevE.107.044118.
J.-F. Chen, C. Sun & H. Dong (2021):
Extrapolating the thermodynamic length with finite-time measurements.
Physical Review E 104(3),
pp. 034117,
doi:10.1103/PhysRevE.104.034117.
J.R.B. Cockett & J-S. P. Lemay (2023):
Moore-Penrose Dagger Categories.
In: Proceedings of the Twentieth International Conference on Quantum Physics and Logic, Paris, France, 17-21st July 2023,
Electronic Proceedings in Theoretical Computer Science 384.
Open Publishing Association,
pp. 171–186,
doi:10.4204/EPTCS.384.10.
M. P. Drazin (1958):
Pseudo-inverses in associative rings and semigroups.
The American mathematical monthly 65(7),
pp. 506–514,
doi:10.2307/2308576.
H. Fitting (1933):
Die Theorie der Automorphismenringe Abelscher Gruppen und ihr Analogon bei nicht kommutativen Gruppen.
Mathematische Annalen 107,
pp. 514–542,
doi:10.1007/BF01448909.
C. Heunen (2009):
Categorical quantum models and logics.
Amsterdam University Press,
doi:10.5117/9789085550242.
C. Heunen & J. Vicary (2019):
Categories for Quantum Theory: an Introduction.
Oxford University Press,
doi:10.1093/oso/9780198739623.001.0001.
B. Jacobs, C. Heunen & I. Hasuo (2009):
Categorical semantics for arrows.
Journal of functional programming 19(3-4),
pp. 403–438,
doi:10.1017/S0956796809007308.
C. F. King (1977):
A note on Drazin inverses.
Pacific Journal of Mathematics 70,
pp. 383–390,
doi:10.2140/pjm.1977.70.383.
H. Miller, M. Scandi, J. Anders & M. Perarnau-Llobet (2019):
Work fluctuations in slow processes: quantum signatures and optimal control.
Physical review letters 123(23),
pp. 230603,
doi:10.1103/PhysRevLett.123.230603.
E. H. Moore (1920):
On the reciprocal of the general algebraic matrix.
Bull. Am. Math. Soc. 26,
pp. 394–395,
doi:10.1090/S0002-9904-1920-03322-7.
W. D. Munn (1961):
Pseudo-inverses in semigroups.
In: Mathematical Proceedings of the Cambridge Philosophical Society 57.
Cambridge University Press,
pp. 247–250,
doi:10.1017/S0305004100035143.
R. Penrose (1955):
A generalized inverse for matrices.
In: Mathematical proceedings of the Cambridge philosophical society 51.
Cambridge University Press,
pp. 406–413,
doi:10.1017/S0305004100030401.
R. Puystjens & M.C. Gouveia (2004):
Drazin invertibility for matrices over an arbitrary ring.
Linear algebra and its applications 385,
pp. 105–116,
doi:10.1016/S0024-3795(03)00618-9.
R. Puystjens & D. w. Robinson (1981):
The Moore-Penrose inverse of a morphism with factorization.
Linear Algebra and its Applications 40,
pp. 129–141,
doi:10.1016/0024-3795(81)90145-2.
R. Puystjens & D. W. Robinson (1984):
The Moore-Penrose inverse of a morphism in an additive category.
Communications in algebra 12(3),
pp. 287–299,
doi:10.1080/00927878408823004.
R. Puystjens & D. W. Robinson (1985):
EP morphisms.
Linear algebra and its applications 64,
pp. 157–174,
doi:10.1016/0024-3795(85)90273-3.
R. Puystjens & D. W. Robinson (1987):
Generalized inverses of morphisms with kernels.
Linear Algebra and Its Applications 96,
pp. 65–86,
doi:10.1016/0024-3795(87)90336-3.
R. Puystjens & D. W. Robinson (1990):
Symmetric morphisms and the existence of Moore-Penrose inverses.
Linear Algebra and Its Applications 131,
pp. 51–69,
doi:10.1016/0024-3795(90)90374-L.
P. Selinger (2007):
Dagger compact closed categories and completely positive maps.
Electronic Notes in Theoretical computer science 170,
pp. 139–163,
doi:10.1016/j.entcs.2006.12.018.
Z. Wang (2017):
A class of Drazin inverses in rings.
Filomat 31(6),
pp. 1781–1789,
doi:10.2298/FIL1706781W.
Y. Wei & S. Qiao (2003):
The representation and approximation of the Drazin inverse of a linear operator in Hilbert space.
Applied Mathematics and Computation 138(1),
pp. 77–89,
doi:10.1016/S0096-3003(02)00100-5.