Determinant (Romanian Wikipedia)
Analysis of information sources in references of the Wikipedia article "Determinant" in Romanian language version.
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academia.edu (Global: 105th place; Romanian: 165th place)
- Abeles, Francine F. (). „Dodgson condensation: The historical and mathematical development of an experimental method”. Linear Algebra and Its Applications (în engleză). 429 (2–3): 429–438. doi:10.1016/j.laa.2007.11.022
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adsabs.harvard.edu (Global: 14th place; Romanian: 29th place)
- O demonstrație poate fi găsită în Anexa B din Kondratyuk, L. A.; Krivoruchenko, M. I. (). „Superconducting quark matter in SU(2) color group”. Zeitschrift für Physik A. 344 (1): 99–115. Bibcode:1992ZPhyA.344...99K. doi:10.1007/BF01291027.
ams.org (Global: 434th place; Romanian: 383rd place)
- Eves 1990, p. 405. Eves, Howard (), An introduction to the history of mathematics (ed. 6), Saunders College Publishing, ISBN 0-03-029558-0, MR 1104435
- Kleiner 2007, p. 80. Kleiner, Israel (), Kleiner, Israel, ed., A History of Abstract Algebra, Birkhäuser, doi:10.1007/978-0-8176-4685-1, ISBN 978-0-8176-4684-4, MR 2347309
- Kleiner 2007, §5.2. Kleiner, Israel (), Kleiner, Israel, ed., A History of Abstract Algebra, Birkhäuser, doi:10.1007/978-0-8176-4685-1, ISBN 978-0-8176-4684-4, MR 2347309
- Eves 1990, p. 494. Eves, Howard (), An introduction to the history of mathematics (ed. 6), Saunders College Publishing, ISBN 0-03-029558-0, MR 1104435
- Cajori 1993, Vol. II, p. 92, no. 462. Cajori, Florian (), A history of mathematical notations: Including Vol. I. Notations in elementary mathematics; Vol. II. Notations mainly in higher mathematics, Reprint of the 1928 and 1929 originals, Dover, ISBN 0-486-67766-4, MR 3363427
- Garibaldi 2004. Garibaldi, Skip (), „The characteristic polynomial and determinant are not ad hoc constructions”, American Mathematical Monthly, 111 (9): 761–778, arXiv:math/0203276 , doi:10.2307/4145188, JSTOR 4145188, MR 2104048
- Rote 2001. Rote, Günter (), „Division-free algorithms for the determinant and the Pfaffian: algebraic and combinatorial approaches” (PDF), Computational discrete mathematics, Lecture Notes in Comput. Sci., 2122, Springer, pp. 119–135, doi:10.1007/3-540-45506-X_9 , ISBN 978-3-540-42775-9, MR 1911585, arhivat din original (PDF) la , accesat în
- Fisikopoulos & Peñaranda 2016, §1.1. , Bareiss 1968. Fisikopoulos, Vissarion; Peñaranda, Luis (), „Algoritmi geometrici mai rapizi prin calcul determinant dinamic”, Computational Geometry, 54: 1–16, arXiv:1206.7067 , doi:10.1016/j.comgeo.2015.12.001 Bareiss, Erwin (), „Sylvester's Identity and Multistep Integer-Preserving Gaussian Elimination” (PDF), Mathematics of Computation, 22 (102): 565–578, doi:10.2307/2004533, JSTOR 2004533, arhivat din original (PDF) la
archive.org (Global: 6th place; Romanian: 19th place)
- McConnell (). Applications of Tensor Analysis
. Dover Publications. pp. 10–17. - Bunch & Hopcroft 1974. Bunch, James R.; Hopcroft, John E. (). „Triangular Factorization and Inversion by Fast Matrix Multiplication”. Mathematics of Computation. 28 (125): 231–236. doi:10.1090/S0025-5718-1974-0331751-8 . hdl:1813/6003 .
- Cajori, F. A History of Mathematics p. 80
- Bunch & Hopcroft 1974. Bunch, James R.; Hopcroft, John E. (). „Triangular Factorization and Inversion by Fast Matrix Multiplication”. Mathematics of Computation. 28 (125): 231–236. doi:10.1090/S0025-5718-1974-0331751-8 . hdl:1813/6003 .
archives-ouvertes.fr (Global: 1,143rd place; Romanian: 1,835th place)
hal.archives-ouvertes.fr
- Silvester, J. R. (). „Determinants of Block Matrices”. Math. Gaz. 84 (501): 460–467. doi:10.2307/3620776. JSTOR 3620776.
arxiv.org (Global: 49th place; Romanian: 119th place)
- Sothanaphan, Nat (ianuarie 2017). „Determinants of block matrices with noncommuting blocks”. Linear Algebra and Its Applications. 512: 202–218. arXiv:1805.06027 . doi:10.1016/j.laa.2016.10.004.
- Lin, Minghua; Sra, Suvrit (). „Completely strong superadditivity of generalized matrix functions”. arXiv:1410.1958 [math.FA].
- Garibaldi 2004. Garibaldi, Skip (), „The characteristic polynomial and determinant are not ad hoc constructions”, American Mathematical Monthly, 111 (9): 761–778, arXiv:math/0203276 , doi:10.2307/4145188, JSTOR 4145188, MR 2104048
- Fisikopoulos & Peñaranda 2016, §1.1, §4.3. Fisikopoulos, Vissarion; Peñaranda, Luis (), „Algoritmi geometrici mai rapizi prin calcul determinant dinamic”, Computational Geometry, 54: 1–16, arXiv:1206.7067 , doi:10.1016/j.comgeo.2015.12.001
- Camarero, Cristóbal (). „Simple, Fast and Practicable Algorithms for Cholesky, LU and QR Decomposition Using Fast Rectangular Matrix Multiplication”. arXiv:1812.02056 [cs.NA].
- Fisikopoulos & Peñaranda 2016, §1.1. Fisikopoulos, Vissarion; Peñaranda, Luis (), „Algoritmi geometrici mai rapizi prin calcul determinant dinamic”, Computational Geometry, 54: 1–16, arXiv:1206.7067 , doi:10.1016/j.comgeo.2015.12.001
- Fisikopoulos & Peñaranda 2016, §1.1. , Bareiss 1968. Fisikopoulos, Vissarion; Peñaranda, Luis (), „Algoritmi geometrici mai rapizi prin calcul determinant dinamic”, Computational Geometry, 54: 1–16, arXiv:1206.7067 , doi:10.1016/j.comgeo.2015.12.001 Bareiss, Erwin (), „Sylvester's Identity and Multistep Integer-Preserving Gaussian Elimination” (PDF), Mathematics of Computation, 22 (102): 565–578, doi:10.2307/2004533, JSTOR 2004533, arhivat din original (PDF) la
books.google.com (Global: 3rd place; Romanian: 8th place)
- Varadarajan, V. S (), Supersymmetry for mathematicians: An introduction, American Mathematical Soc., ISBN 978-0-8218-3574-6.
doi.org (Global: 2nd place; Romanian: 3rd place)
- Silvester, J. R. (). „Determinants of Block Matrices”. Math. Gaz. 84 (501): 460–467. doi:10.2307/3620776. JSTOR 3620776.
- Sothanaphan, Nat (ianuarie 2017). „Determinants of block matrices with noncommuting blocks”. Linear Algebra and Its Applications. 512: 202–218. arXiv:1805.06027 . doi:10.1016/j.laa.2016.10.004.
- Bunch & Hopcroft 1974. Bunch, James R.; Hopcroft, John E. (). „Triangular Factorization and Inversion by Fast Matrix Multiplication”. Mathematics of Computation. 28 (125): 231–236. doi:10.1090/S0025-5718-1974-0331751-8 . hdl:1813/6003 .
- Paksoy; Turkmen; Zhang (). „Inequalities of Generalized Matrix Functions via Tensor Products”. Electronic Journal of Linear Algebra. 27: 332–341. doi:10.13001/1081-3810.1622 .
- O demonstrație poate fi găsită în Anexa B din Kondratyuk, L. A.; Krivoruchenko, M. I. (). „Superconducting quark matter in SU(2) color group”. Zeitschrift für Physik A. 344 (1): 99–115. Bibcode:1992ZPhyA.344...99K. doi:10.1007/BF01291027.
- Kleiner 2007, p. 80. Kleiner, Israel (), Kleiner, Israel, ed., A History of Abstract Algebra, Birkhäuser, doi:10.1007/978-0-8176-4685-1, ISBN 978-0-8176-4684-4, MR 2347309
- Bourbaki (1994, p. 59) Bourbaki, Nicolas (), Elements of the history of mathematics, tradus de Meldrum, John D. P., Springer, doi:10.1007/978-3-642-61693-8, ISBN 3-540-19376-6
- Kleiner 2007, §5.2. Kleiner, Israel (), Kleiner, Israel, ed., A History of Abstract Algebra, Birkhäuser, doi:10.1007/978-0-8176-4685-1, ISBN 978-0-8176-4684-4, MR 2347309
- Garibaldi 2004. Garibaldi, Skip (), „The characteristic polynomial and determinant are not ad hoc constructions”, American Mathematical Monthly, 111 (9): 761–778, arXiv:math/0203276 , doi:10.2307/4145188, JSTOR 4145188, MR 2104048
- Fisikopoulos & Peñaranda 2016, §1.1, §4.3. Fisikopoulos, Vissarion; Peñaranda, Luis (), „Algoritmi geometrici mai rapizi prin calcul determinant dinamic”, Computational Geometry, 54: 1–16, arXiv:1206.7067 , doi:10.1016/j.comgeo.2015.12.001
- Bunch & Hopcroft 1974. Bunch, James R.; Hopcroft, John E. (). „Triangular Factorization and Inversion by Fast Matrix Multiplication”. Mathematics of Computation. 28 (125): 231–236. doi:10.1090/S0025-5718-1974-0331751-8 . hdl:1813/6003 .
- Fisikopoulos & Peñaranda 2016, §1.1. Fisikopoulos, Vissarion; Peñaranda, Luis (), „Algoritmi geometrici mai rapizi prin calcul determinant dinamic”, Computational Geometry, 54: 1–16, arXiv:1206.7067 , doi:10.1016/j.comgeo.2015.12.001
- Rote 2001. Rote, Günter (), „Division-free algorithms for the determinant and the Pfaffian: algebraic and combinatorial approaches” (PDF), Computational discrete mathematics, Lecture Notes in Comput. Sci., 2122, Springer, pp. 119–135, doi:10.1007/3-540-45506-X_9 , ISBN 978-3-540-42775-9, MR 1911585, arhivat din original (PDF) la , accesat în
- Fang, Xin Gui; Havas, George (). „On the worst-case complexity of integer Gaussian elimination” (PDF). Proceedings of the 1997 international symposium on Symbolic and algebraic computation. ISSAC '97. Kihei, Maui, Hawaii, United States: ACM. pp. 28–31. doi:10.1145/258726.258740. ISBN 0-89791-875-4. Arhivat din original (PDF) la . Accesat în .
- Fisikopoulos & Peñaranda 2016, §1.1. , Bareiss 1968. Fisikopoulos, Vissarion; Peñaranda, Luis (), „Algoritmi geometrici mai rapizi prin calcul determinant dinamic”, Computational Geometry, 54: 1–16, arXiv:1206.7067 , doi:10.1016/j.comgeo.2015.12.001 Bareiss, Erwin (), „Sylvester's Identity and Multistep Integer-Preserving Gaussian Elimination” (PDF), Mathematics of Computation, 22 (102): 565–578, doi:10.2307/2004533, JSTOR 2004533, arhivat din original (PDF) la
- Abeles, Francine F. (). „Dodgson condensation: The historical and mathematical development of an experimental method”. Linear Algebra and Its Applications (în engleză). 429 (2–3): 429–438. doi:10.1016/j.laa.2007.11.022 .
ens-lyon.fr (Global: 6,767th place; Romanian: low place)
perso.ens-lyon.fr
- Fang, Xin Gui; Havas, George (). „On the worst-case complexity of integer Gaussian elimination” (PDF). Proceedings of the 1997 international symposium on Symbolic and algebraic computation. ISSAC '97. Kihei, Maui, Hawaii, United States: ACM. pp. 28–31. doi:10.1145/258726.258740. ISBN 0-89791-875-4. Arhivat din original (PDF) la . Accesat în .
fu-berlin.de (Global: 3,170th place; Romanian: 3,763rd place)
page.inf.fu-berlin.de
- Rote 2001. Rote, Günter (), „Division-free algorithms for the determinant and the Pfaffian: algebraic and combinatorial approaches” (PDF), Computational discrete mathematics, Lecture Notes in Comput. Sci., 2122, Springer, pp. 119–135, doi:10.1007/3-540-45506-X_9 , ISBN 978-3-540-42775-9, MR 1911585, arhivat din original (PDF) la , accesat în
gatech.edu (Global: 4,205th place; Romanian: low place)
textbooks.math.gatech.edu
- „Determinants and Volumes”. textbooks.math.gatech.edu. Accesat în .
hdl.handle.net (Global: 66th place; Romanian: 249th place)
- Bunch & Hopcroft 1974. Bunch, James R.; Hopcroft, John E. (). „Triangular Factorization and Inversion by Fast Matrix Multiplication”. Mathematics of Computation. 28 (125): 231–236. doi:10.1090/S0025-5718-1974-0331751-8 . hdl:1813/6003 .
- Bunch & Hopcroft 1974. Bunch, James R.; Hopcroft, John E. (). „Triangular Factorization and Inversion by Fast Matrix Multiplication”. Mathematics of Computation. 28 (125): 231–236. doi:10.1090/S0025-5718-1974-0331751-8 . hdl:1813/6003 .
ic.ac.uk (Global: low place; Romanian: 8,638th place)
ee.ic.ac.uk
- Demonstrations can be found in http://www.ee.ic.ac.uk/hp/staff/dmb/matrix/proof003.html
jstor.org (Global: 23rd place; Romanian: 76th place)
- Silvester, J. R. (). „Determinants of Block Matrices”. Math. Gaz. 84 (501): 460–467. doi:10.2307/3620776. JSTOR 3620776.
- Garibaldi 2004. Garibaldi, Skip (), „The characteristic polynomial and determinant are not ad hoc constructions”, American Mathematical Monthly, 111 (9): 761–778, arXiv:math/0203276 , doi:10.2307/4145188, JSTOR 4145188, MR 2104048
- Fisikopoulos & Peñaranda 2016, §1.1. , Bareiss 1968. Fisikopoulos, Vissarion; Peñaranda, Luis (), „Algoritmi geometrici mai rapizi prin calcul determinant dinamic”, Computational Geometry, 54: 1–16, arXiv:1206.7067 , doi:10.1016/j.comgeo.2015.12.001 Bareiss, Erwin (), „Sylvester's Identity and Multistep Integer-Preserving Gaussian Elimination” (PDF), Mathematics of Computation, 22 (102): 565–578, doi:10.2307/2004533, JSTOR 2004533, arhivat din original (PDF) la
mathoverflow.net (Global: low place; Romanian: low place)
- Serre, Denis (). „Concavity of det1/n over HPDn”. MathOverflow.
nova.edu (Global: low place; Romanian: low place)
nsuworks.nova.edu
- Paksoy; Turkmen; Zhang (). „Inequalities of Generalized Matrix Functions via Tensor Products”. Electronic Journal of Linear Algebra. 27: 332–341. doi:10.13001/1081-3810.1622 .
st-and.ac.uk (Global: 4,765th place; Romanian: 1,714th place)
www-history.mcs.st-and.ac.uk
tripod.com (Global: 666th place; Romanian: 703rd place)
jeff560.tripod.com
- „Origins of mathematical terms”. Arhivat din original la . Accesat în .
- History of matrix notation
unacademy.com (Global: low place; Romanian: low place)
- All about Determinant, accesat 2026-05-14
uoregon.edu (Global: 3,189th place; Romanian: 2,764th place)
darkwing.uoregon.edu
- An brief history of linear algebra and matrix theory at: „A Brief History of Linear Algebra and Matrix Theory”. Arhivat din original la . Accesat în .
web.archive.org (Global: 1st place; Romanian: 1st place)
- An brief history of linear algebra and matrix theory at: „A Brief History of Linear Algebra and Matrix Theory”. Arhivat din original la . Accesat în .
- „Origins of mathematical terms”. Arhivat din original la . Accesat în .
- Rote 2001. Rote, Günter (), „Division-free algorithms for the determinant and the Pfaffian: algebraic and combinatorial approaches” (PDF), Computational discrete mathematics, Lecture Notes in Comput. Sci., 2122, Springer, pp. 119–135, doi:10.1007/3-540-45506-X_9 , ISBN 978-3-540-42775-9, MR 1911585, arhivat din original (PDF) la , accesat în
- Fang, Xin Gui; Havas, George (). „On the worst-case complexity of integer Gaussian elimination” (PDF). Proceedings of the 1997 international symposium on Symbolic and algebraic computation. ISSAC '97. Kihei, Maui, Hawaii, United States: ACM. pp. 28–31. doi:10.1145/258726.258740. ISBN 0-89791-875-4. Arhivat din original (PDF) la . Accesat în .
- Fisikopoulos & Peñaranda 2016, §1.1. , Bareiss 1968. Fisikopoulos, Vissarion; Peñaranda, Luis (), „Algoritmi geometrici mai rapizi prin calcul determinant dinamic”, Computational Geometry, 54: 1–16, arXiv:1206.7067 , doi:10.1016/j.comgeo.2015.12.001 Bareiss, Erwin (), „Sylvester's Identity and Multistep Integer-Preserving Gaussian Elimination” (PDF), Mathematics of Computation, 22 (102): 565–578, doi:10.2307/2004533, JSTOR 2004533, arhivat din original (PDF) la
worldcat.org (Global: 4th place; Romanian: 9th place)
- Dummit & Foote 2004, §11.4. Dummit, David S.; Foote, Richard M. (), Abstract algebra (ed. 3rd), Hoboken, NJ: Wiley, ISBN 9780471452348, OCLC 248917264
- Dummit & Foote 2004, §11.4, Theorem 30. Dummit, David S.; Foote, Richard M. (), Abstract algebra (ed. 3rd), Hoboken, NJ: Wiley, ISBN 9780471452348, OCLC 248917264
xaktly.com (Global: low place; Romanian: low place)
- Dr. Jeff Cruza. „Triangle area”.