Found 88 Documents (Results 1–88)
On the similarity over the ring of integers of certain nilpotent matrices of maximal rank. (Russian. English summary) Zbl 07850303
Reduction of a linear \(D_e\)-system to a canonical form in the case of equivalence to a \(D_e\)-system of higher order linear equations. (English) Zbl 1518.35233
MSC:
35F35
Representing matrices over fields as square-zero matrices and diagonal matrices. (Russian. English summary) Zbl 1475.15013
Echelon type canonical forms in upper triangular matrix algebras. (English) Zbl 1365.15014
Bini, Dario A. (ed.) et al., Large truncated Toeplitz matrices, Toeplitz operators, and related topics. The Albrecht Böttcher anniversary volume. Basel: Birkhäuser/Springer (ISBN 978-3-319-49180-6/hbk; 978-3-319-49182-0/ebook). Operator Theory: Advances and Applications 259, 79-124 (2017).
Semiscalar equivalence and quasi-diagonal similarity of matrices. (Ukrainian, English) Zbl 1363.15019
Mat. Metody Fiz.-Mekh. Polya 58, No. 4, 15-26 (2015); translation in J. Math. Sci., New York 228, No. 1, 11-25 (2018).
Reviewer: Anatoly Martynyuk (Kyïv)
Conway-Coxeter friezes and beyond: polynomially weighted walks around dissected polygons and generalized frieze patterns. (English) Zbl 1320.05021
Matrix theory. (English) Zbl 1275.15001
Graduate Studies in Mathematics 147. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-9491-0/hbk). x, 253 p. (2013).
Reviewer: Werner Kleinert (Berlin)
MSC:
15-01
15A15
15A21
15A60
15A83
15B35
05B20
15A09
15A18
15A24
15A39
15A69
15B34
15B48
15B51
15B57
05C20
05C50
Monic divisors with canonical diagonal form \(\mathrm{diag}(1,\dots,1, \varphi(x),\dots,\varphi(x))\) of polynomial matrices over an infinite field. (Ukrainian. English summary) Zbl 1297.15016
On interdependence between invariant factors of a block-triangular matrix and its diagonal blocks. (English. Russian original) Zbl 1283.15038
Math. Notes 90, No. 4, 584-596 (2011); translation from Math. Zametki 90, No. 4, 599-612 (2011).
MSC:
15A21
On the one-side equivalence of matrices with given canonical diagonal form. (English) Zbl 1260.15017
MSC:
15A21
Unitary divisors with one invariant multiplier of polynomial matrices. (Ukrainian, English) Zbl 1240.15024
Mat. Metody Fiz.-Mekh. Polya 53, No. 4, 35-43 (2010); translation in J. Math. Sci., New York 181, No. 3, 328-339 (2012).
Reviewer: A. N. Chernienko (Kyïv)
On invariant factors of block-triangular matrices and their diagonal blocks. (Ukrainian. English summary) Zbl 1224.15026
MSC:
15A21
Sharpening the triple diagonal form. (English) Zbl 1191.15009
MSC:
15A21
Transforming matrices and divisors generated by them. (Ukrainian, English) Zbl 1240.15021
Mat. Metody Fiz.-Mekh. Polya 52, No. 4, 64-72 (2009); translation in J. Math. Sci., New York 174, No. 2, 196-208 (2011).
Reviewer: V. G. Miladzhanov (Andizhan)
The decomposition of pairwise matrices over a quaternion field. (Chinese. English summary) Zbl 1224.15036
Description of parallel factorizations of polynomial matrices. (Ukrainian. English summary) Zbl 1199.15033
Unified approach of the generalized inverse with its computational derivations. (English) Zbl 1195.00024
Diagonal equivalence of matrices. (English) Zbl 1181.15015
Göbel, Rüdiger (ed.) et al., Models, modules and Abelian groups. In memory of A. L. S. Corner. Berlin: Walter de Gruyter (ISBN 978-3-11-019437-1/hbk). 219-234 (2008).
Some invariants of transformable matrices. (Ukrainian) Zbl 1164.15319
MSC:
15A21
On similarity of second order matrices over the ring of integers. (English. Russian original) Zbl 1173.65321
Russ. Math. 50, No. 4, 56-63 (2006); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2006, No. 4, 57-64 (2006).
New canonical forms for analytical solution of problems in structural mechanics. (English) Zbl 1330.74105
Solving systems of linear homogeneous two-sided matrix equations with two unknowns. (Russian, English) Zbl 1082.15024
Zh. Vychisl. Mat. Mat. Fiz. 44, No. 11, 1950-1963 (2004); translation in Comput. Math. Math. Phys. 44, No. 11, 1853-1866 (2004).
Reviewer: Evgenij Nechaev (Moskva)
Generalized equivalence of collections of matrices and common divisors of matrices. (English) Zbl 1063.15503
Diagonal \(\mathbb{Z}\)-automorphisms of \(\mathbb{Z}(x_1,x_2,\dots,x_n)\). (English) Zbl 1056.13006
Reviewer: Haruhisa Nakajima (Sakado)
Standard form of pairs of matrices with respect to generalized equivalence. (English) Zbl 1038.15003
MSC:
15A21
The spectral theorem in quaternions. (English) Zbl 1030.15015
Reviewer: R.Covaci (Cluj-Napoca)
Common unital divisors of polynomial matrices with given canonical diagonal form. (Ukrainian) Zbl 1075.15015
Reviewer: A. N. Chernienko (Kyïv)
On the condition of matrices that transform Hermitian pairs to diagonal form. (Russian, English) Zbl 1059.15017
Zh. Vychisl. Mat. Mat. Fiz. 42, No. 5, 611-614 (2002); translation in Comput. Math. Math. Phys. 42, No. 5, 583-586 (2002).
Reviewer: Evgenij Nechaev (Moskva)
On the structure of divisors of matrices over a principal ideal domain. (Ukrainian. English summary) Zbl 1030.15012
Reviewer: A.P.Petravchuk (Kyïv)
Structure of matrices and their divisors over principal ideal domain. (Ukrainian. English summary) Zbl 1030.15013
Reviewer: A.S.Oliynyk (Kyïv)
On reduction of elements of the full matrix superalgebra to a block-diagonal form by conjugation. (English) Zbl 1016.15012
Reviewer: Rodica Covaci (Cluj-Napoca)
On a canonical form of a \(3\times 3\) Hermitian matrix over the ring of integral split octonions. (English) Zbl 1034.15008
Reviewer: Rodica Covaci (Cluj-Napoca)
Numerical determination of a canonical form of a symplectic matrix. (Russian, English) Zbl 1071.65049
Sib. Mat. Zh. 42, No. 4, 749-770 (2001); translation in Sib. Math. J. 42, No. 4, 629-647 (2001).
Reviewer: V. Grebenev (Novosibirsk)
On multiplicativity of canonical diagonal forms of matrices over principal ideal domains. II. (English. Ukrainian original) Zbl 0989.15004
Ukr. Math. J. 53, No. 2, 312-315 (2001); translation from Ukr. Mat. Zh. 53, No. 2, 274-277 (2001).
Divisors of polynomial matrices with given canonical diagonal forms. (Ukrainian) Zbl 1053.15006
Reviewer: L. N. Chernetskaja (Kyïv)
\(\Phi\)-sceleton of matrices and its properties. (Ukrainian) Zbl 1053.15008
Reviewer: L. N. Chernetskaja (Kyïv)
Transforming matrices and divisors of matrices over some bezout domains. (Ukrainian) Zbl 1053.15007
Reviewer: L. N. Chernetskaja (Kyïv)
On the reducibility of a nonnegatively Hamiltonian real periodic matrix to a block-diagonal form. (English. Russian original) Zbl 0965.15010
Math. Notes 66, No. 5, 570-576 (1999); translation from Mat. Zametki 66, No. 5, 688-695 (1999).
The primary rational canonical form and the eigenvalues of algebraic matrices over a skew field. (Chinese. English summary) Zbl 1012.15009
On parallel factorizations of matrices over principal ideal rings. (Ukrainian) Zbl 0924.15012
Reviewer: V.G.Miladzhanov (Andizhan)
A criterion of diagonalizability of a pair of matrices over the ring of principal ideals by common row and separate column transformations. (English. Ukrainian original) Zbl 0935.15010
Ukr. Math. J. 49, No. 6, 963-965 (1997); translation from Ukr. Mat. Zh. 49, No. 6, 860-862 (1997).
Reviewer: Yu.V.Bodnarchuk (Kyïv)
On the parallel factorization of matrices over principal ideal rings. (English. Ukrainian original) Zbl 0928.15008
J. Math. Sci., New York 96, No. 2, 3022-3025 (1999); translation from Mat. Metody Fiz.-Mekh. Polya 40, No. 4, 96-100 (1997).
When is a linear operator diagonalizable? (English) Zbl 0903.15005
Reviewer: F.H.Vasilescu (Villeneuve d’Ascq)
On relations between \(R_ aR_ b\) transformation and canonical diagonal form of \(\lambda\)-matrix. (English) Zbl 0884.15006
Reviewer: J.Zemánek (Warszawa)
MSC:
15A21
Some probabilities for eigenvalues of matrices with entries in finite fields. (English) Zbl 0861.15008
Reviewer: S.E.Payne (Denver)
On divisibility of matrices and their simultaneous reducibility to canonical diagonal forms. (Ukrainian) Zbl 0926.15009
Reviewer: Yu.V.Bodnarchuk (Kyïv)
MSC:
15A21
On divisibility of matrices and their simultaneous reducibility to canonical diagonal forms. (Ukrainian) Zbl 0899.15006
Reviewer: Yu.V.Bodnarchuk (Kyïv)
MSC:
15A21
On multiplicative problem of canonical diagonal forms of matrices over a principal ideal domain. (Ukrainian) Zbl 0888.15004
MSC:
15A21
Group analysis of determining equations – a method for seeking recursion operators. (English. Russian original) Zbl 0827.70012
Differ. Equations 30, No. 3, 412-423 (1994); translation from Differ. Uravn. 30, No. 3, 444-456 (1994).
Reviewer: V.Chernyatin (Szczecin)
Simultaneous diagonalization algorithms with applications in multivariate statistics. (English) Zbl 0822.65133
Zahar, R. V. M. (ed.), Approximation and computation: a Festschrift in honor of Walter Gautschi. Proceedings of the Purdue conference, West Lafayette, IN, USA, December 2-5, 1993. Boston, US: Birkhäuser. ISNM, Int. Ser. Numer. Math. 119, 179-205 (1994).
Reviewer: J.Antoch (Praha)
Algorithmization questions in some applied problems. (Voprosy algoritmizatsii v nekotorykh prikladnykh zadachakh.) (Russian) Zbl 0908.65021
Soobshcheniya po Prikladnoĭ Matematike. Moskva: Vychislitel’nyĭ Tsentr RAN, 28 p. (1994).
A new canonical form for complex symmetric matrices. (English) Zbl 0794.15005
Reviewer: G.P.Barker (Kansas City)
MSC:
15A21
Combinatorial eigenvalues of matrices. (English) Zbl 0756.15015
Reviewer: M.Voicu (Iaşi)
Spectral analysis of relatively finite-dimensional perturbations of spectral operators. (English. Russian original) Zbl 0759.47011
Sov. Math. 35, No. 1, 1-11 (1991); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1991, No. 1(344), 3-11 (1991).
Reviewer: J.B.Butler jun.(Portland)
Application of the interchangeability of the matrices to a type of decoupling problems. (Chinese) Zbl 0890.15008
Equality classes of matrices. (English) Zbl 0645.15011
Reviewer: R.v.Randow
The elementary divisor theory over the Hurwitz order of integral quaternions. (English) Zbl 0663.15003
Reviewer: R.Ursianu
A matrix diagonalisation problem in quantum mechanics. (English) Zbl 0635.15010
Reviewer: P.Rudra
Invariant factors of integral quaternion matrices. (English) Zbl 0634.15007
Reviewer: Tong Wenting
On the reduction of a matrix of a special type to a diagonal form by means of the difference method. (Chinese. English summary) Zbl 0621.65040
A canonical form for regular pencils of matrices. (English) Zbl 0606.15005
Reviewer: Yueh-er Kuo
A recurrence method for the reduction of quadratic forms to canonical form and the property of quadratic forms to have fixed sign. (Russian) Zbl 0602.15020
Reviewer: G.P.Barker
On the reduction of pairs of Hermitian or symmetric matrices to diagonal form by congruence. (English) Zbl 0593.15005
Reviewer: B.Reichstein
On the reduction of a matrix to triangular or diagonal form by consimilarity. (English) Zbl 0583.15006
Reviewer: G.P.Barker
Reducibility of polynomial matrices to diagonal form. (Russian) Zbl 0567.15011
Reviewer: O.Dumbrajs
Reduction of unital polynomial matrices with pairwise relatively prime elementary divisors to block-diagonal form. (Russian) Zbl 0517.15014
On the matrix equation \(BXA^ t=\)C. (English) Zbl 0489.15005
Circuits and systems, Proc. IEEE int. Symp., Chicago/Ill. 1981, Vol. 1, 278-281 (1981).
MSC:
15A24
On the transformation of systems of linear difference equations into diagonal form. (Russian) Zbl 0442.39001
An algorithm for numerical computation of the Jordan normal form of a complex matrix. (English) Zbl 0434.65020
An integer arithmetic method to compute generalized matrix inverse and solve linear equations exactly. (English) Zbl 0399.65021
Matrix quadratic solutions. (English) Zbl 0144.02001
Reviewer: Irving J. Katz
Filter Results by …
Document Type
- Journal Articles (82)
- Collection Articles (4)
- Books (2)
all
top 5
Author
- Shchedryk, Volodymyr P. (10)
- Petrichkovich, Vasil’ Mikhaĭlovich (9)
- Prokip, Volodymyr M. (5)
- Romaniv, A. M. (3)
- Shavarovs’kij, B. Z. (3)
- Danilov, Volodymyr Ya. (2)
- Dzhalyuk, N. S. (2)
- Horn, Roger Alan (2)
- Abate, Marco (1)
- Ahmed, Mohammad Maruf (1)
- Bart, Harm (1)
- Baskakov, Anatoliĭ Grigor’evich (1)
- Bessenrodt, Christine (1)
- Conlon, Joseph G. (1)
- Danchev, Peter Vassilev (1)
- Deng, An-Chang (1)
- Dzikiewicz, Jadwiga (1)
- Ehrhardt, Torsten (1)
- Falk, Sigurd (1)
- Farenick, Douglas R. (1)
- Feng, Peirong (1)
- Fletcher, Roger (1)
- Flury, Bernard D. (1)
- Ge, Denian (1)
- Gerth, Frank III (1)
- Gibson, John A. (1)
- Godunov, Sergeĭ Konstantinovich (1)
- Habeb, Jebrel M. (1)
- Hajja, Mowaffaq (1)
- Hershkowitz, Daniel (1)
- Hong Yoo Pyo (1)
- Huang, Liping (1)
- Ikramov, Saidkhakim Dododshanovich (1)
- Johnson, Charles Royal (1)
- Kågström, Bo (1)
- Kaveh, Ali (1)
- Khodzhaev, N. D. (1)
- Khokhlyuk, V. I. (1)
- Kocak, Huseyin (1)
- Kolyada, R. V. (1)
- Kondor, Imre (1)
- Krieg, Aloys (1)
- Krutelevich, Sergei V. (1)
- Kurina, Galina A. (1)
- Kurita, Minoru (1)
- Lin, Guanjun (1)
- Mader, Adolf (1)
- Marius, Ştefan (1)
- Martynenko, G. V. (1)
- Martynyuk, D. Yi. (1)
- Maybee, John S. (1)
- Mel’nyk, Orest (1)
- Moler, Cleve B. (1)
- Mutzbauer, Otto (1)
- Neuenschwander, Beat E. (1)
- Ni, Ligang (1)
- Olesky, D. Dale (1)
- Pavlov, V. A. (1)
- Pidkowich, Barbara A. F. (1)
- Potter, James E. (1)
- Pyarnpuu, A. A. (1)
- Qian, Chengyang (1)
- Rahami, Hossein (1)
- Rehkopf, Edward (1)
- Ruhe, Axel (1)
- Sadkane, Miloud (1)
- Schneider, Hans (1)
- Scott, Nigel H. (1)
- Shamim, A. A. (1)
- Sheftel, Mikhail B. (1)
- Shevchenko, Valery N. (1)
- Sidorov, Sergeĭ Vladimirovich (1)
- Silbermann, Bernd (1)
- Sorensen, Danny C. (1)
- Stanley, Richard Peter (1)
- Syslo, Maciej M. (1)
- Tan, Shaohua (1)
- Tao, Renji (1)
- Temesvári, T. (1)
- Thompson, Robert C. (1)
- Trishin, Ivan M. (1)
- Tsatsomeros, Michael J. (1)
- Utkin, German Vladimirovich (1)
- van den Driessche, Pauline (1)
- Van Loan, Charles Francis (1)
- Vandewalle, Joos P. (1)
- Wang, Kai (1)
- Wu, Hairong (1)
- Wu, Yaokun (1)
- Xiong, Yanzhen (1)
- Yamanaka, Iwao (1)
- Yoo Pyo Hong (1)
- Zhan, Xingzhi (1)
- Zhang, Jinchuan (1)
all
top 5
Serial
- Mat. Metody Fiz.-Mekh. Polya (9)
- Linear Algebra Appl. (6)
- Algebra Discrete Math. (5)
- Ukr. Mat. Zh. (4)
- Am. Math. Mon. (2)
- Linear Multilinear Algebra (2)
- Math. Notes (2)
- Zh. Vychisl. Mat. Mat. Fiz. (2)
- J. Algebra (2)
- Visn. L’viv. Univ., Ser. Mekh.-Mat. (2)
- J. Phys. A, Math. Gen. (2)
- Dopov. Akad. Nauk Ukr. (2)
- Mat. Stud. (2)
- Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky (2)
- Discrete Math. (1)
- Dokl. Akad. Nauk Ukr. SSR, Ser. A (1)
- Int. J. Syst. Sci. (1)
- J. Math. Phys. (1)
- Mat. Metody Fiz.-Mekh. Polya (1)
- Zastosow. Mat. (1)
- Z. Angew. Math. Mech. (1)
- ACM Trans. Math. Softw. (1)
- Acta Math. Sin. (1)
- Differ. Equations (1)
- Izv. Akad. Nauk UzSSR, Ser. Fiz.-Mat. Nauk (1)
- J. Comb. Theory, Ser. A (1)
- Sib. Mat. Zh. (1)
- Sov. Math. (1)
- Syst. Control Lett. (1)
- SIAM J. Algebraic Discrete Methods (1)
- J. Xiamen Univ., Nat. Sci. (1)
- Bull. Iran. Math. Soc. (1)
- Gaz. Mat., Perfecț. Metod. Metodol. Mat. Inf. (1)
- J. Kunming Inst. Technol. (1)
- SIAM J. Matrix Anal. Appl. (1)
- Math. Appl. (1)
- Dopov. Akad. Nauk Ukr. RSR, Ser. A (1)
- Proc. R. Soc. Lond., Ser. A (1)
- SIAM J. Appl. Math. (1)
- SIAM Rev. (1)
- Rep. Fac. Sci. Technol., Meijo Univ. (1)
- Algebras Groups Geom. (1)
- Russ. Math. (1)
- Commun. Numer. Methods Eng. (1)
- Vychisl. Prikl. Mat. (1)
- Sci. China, Ser. E (1)
- Nauk. Visn. Uzhgorod. Univ., Ser. Mat. (1)
- Lobachevskii J. Math. (1)
- Proc. Indian Acad. Sci., Sect. A (1)
- Chebyshevskiĭ Sb. (1)
- Grad. Stud. Math. (1)
- Far East J. Math. Educ. (1)
- Zh. Sredn. Mat. Obshch. (1)
all
top 5
Year of Publication
- 2024 (1)
- 2023 (2)
- 2020 (1)
- 2017 (1)
- 2016 (1)
- 2015 (2)
- 2013 (1)
- 2011 (4)
- 2010 (3)
- 2009 (4)
- 2008 (3)
- 2006 (1)
- 2005 (2)
- 2004 (3)
- 2003 (3)
- 2002 (6)
- 2001 (2)
- 2000 (3)
- 1999 (1)
- 1998 (1)
- 1997 (5)
- 1996 (3)
- 1995 (1)
- 1994 (4)
- 1993 (1)
- 1992 (2)
- 1991 (2)
- 1988 (2)
- 1987 (3)
- 1986 (5)
- 1985 (1)
- 1983 (2)
- 1982 (2)
- 1981 (2)
- 1980 (4)
- 1978 (3)
- 1966 (1)
Software
- ARPACK (1)
