[1] MR2202088 Rost,
Karla Georg Heinig, November 24, 1947--May 10, 2005. A personal memoir
and appreciation by Karla Rost. Linear
Algebra Appl. 413 (2006), no.
1, 1--12. 01A70
[2] MR2191091
(2006j:15041) Heinig,
Georg ; Rost,
Karla Schur-type algorithms for the solution of Hermitian Toeplitz
systems via factorization. Recent advances in operator theory and its
applications, 233--252, Oper.
Theory Adv. Appl., 160, Birkhäuser, Basel, 2005. 15A23
(65F05)
[3] MR2187175 Böttcher,
Albrecht ; Gohberg,
Israel ; Silbermann,
Bernd Georg Heinig (1947--2005): in memoriam. Integral
Equations Operator Theory 53 (2005), no.
2, 297--300. 01A70
[4] MR2095916
(2005i:65037) Heinig,
Georg ; Rost,
Karla Split algorithms for Hermitian Toeplitz matrices with arbitrary
rank profile. Linear
Algebra Appl. 392
(2004), 235--253. (Reviewer: Marc Van Barel) 65F05
(15A06 15A09 15A57)
[5] MR2063753
(2005h:65066) Heinig,
Georg Fast algorithms for Toeplitz least squares problems. Current
trends in operator theory and its applications, 167--197, Oper.
Theory Adv. Appl., 149, Birkhäuser, Basel, 2004. 65F20
(15A09 47B35)
[6] MR2073061
(2005f:65041) Heinig,
Georg ; Rost,
Karla Split algorithms for skewsymmetric Toeplitz matrices with
arbitrary rank profile. Theoret.
Comput. Sci. 315 (2004), no.
2-3, 453--468. (Reviewer: Daniel Potts) 65F05
[7] MR2081238
(2005f:65040) Heinig,
Georg ; Rost,
Karla New fast algorithms for Toeplitz-plus-Hankel matrices. SIAM
J. Matrix Anal. Appl. 25 (2003), no.
3, 842--857 (electronic). (Reviewer: A. Bultheel) 65F05
[8] MR2005571 Heinig,
Georg ; Rost,
Karla Fast algorithms for centro-symmetric and centro-skewsymmetric
Toeplitz-plus-Hankel matrices. International Conference on Numerical
Algorithms, Vol. I (Marrakesh, 2001). Numer.
Algorithms 33 (2003), no.
1-4, 305--317. 65F05
(15A06)
[9] MR1999388
(2004j:65039) Heinig,
Georg Inversion of Toeplitz-plus-Hankel matrices with arbitrary rank
profile. Fast algorithms for structured matrices: theory and
applications (South Hadley, MA, 2001), 75--89, Contemp.
Math., 323, Amer. Math. Soc., Providence, RI, 2003.
(Reviewer: Daniel Potts) 65F05
(15A09)
[10] MR1987734
(2004d:65052) Van
Barel, Marc ; Heinig,
Georg ; Kravanja,
Peter A superfast method for solving Toeplitz linear least squares
problems. Special issue on structured matrices: analysis, algorithms and
applications (Cortona, 2000). Linear
Algebra Appl. 366
(2003), 441--457. (Reviewer: A. Böttcher) 65F20
(15A06 15A57 47B35 65T50)
[11] MR1987724
(2004d:15036) Heinig,
Georg ; Rost,
Karla Centrosymmetric and centro-skewsymmetric Toeplitz-plus-Hankel
matrices and Bezoutians. Special issue on structured matrices: analysis,
algorithms and applications (Cortona, 2000). Linear
Algebra Appl. 366
(2003), 257--281. (Reviewer: L. Rodman) 15A57
(47B35)
[12] MR1987710
Special issue on structured matrices: analysis, algorithms and
applications. Papers from the workshop held in Cortona, September 21--28,
2000. Edited by Dario A. Bini, Georg Heinig and Eugene Tyrtyshnikov.
Linear Algebra Appl. 366 (2003). Elsevier Science
B.V., Amsterdam, 2003.
pp. ix--xii and 1--484. 15-06
[13] MR1935765
(2003j:65024) Heinig,
Georg ; Rost,
Karla Fast algorithms for skewsymmetric Toeplitz matrices.
Toeplitz matrices and singular integral equations (Pobershau, 2001),
193--208, Oper.
Theory Adv. Appl., 135, Birkhäuser, Basel, 2002. 65F05
(15A57 47B35)
[14] MR1906754
(2003e:15008) Heinig,
Georg On the reconstruction of Toeplitz matrix inverses from columns.
Linear
Algebra Appl. 350
(2002), 199--212. (Reviewer: Ronald L. Smith) 15A09
[15] MR1878942
(2002m:15034) Heinig,
Georg ; Rost,
Karla Centro-symmetric and centro-skewsymmetric Toeplitz matrices and
Bezoutians. Special issue on structured and infinite systems of linear
equations. Linear
Algebra Appl. 343/344
(2002), 195--209. (Reviewer: Gong Ning Chen) 15A57
[16] MR1869414
(2002j:15030) Heinig,
Georg Kernel structure of Toeplitz-plus-Hankel matrices. Linear
Algebra Appl. 340
(2002), 1--13. (Reviewer: Aaron Melman) 15A57
(15A09 47B35)
[17] MR1938433 Heinig,
Georg Fast and superfast algorithms for Hankel-like matrices related
to orthogonal polynomials. Numerical analysis and its applications
(Rousse, 2000), 385--392, Lecture
Notes in Comput. Sci., 1988, Springer, Berlin, 2001. 65F30
(15A23 47B35)
[18] MR1938401 Van
Barel, Marc ; Heinig,
Georg ; Kravanja,
Peter An algorithm based on orthogonal polynomial vectors for Toeplitz
least squares problems. Numerical analysis and its applications
(Rousse, 2000), 27--34, Lecture
Notes in Comput. Sci., 1988, Springer, Berlin, 2001. 65F25
(65F20)
[19] MR1871324
(2002j:65038) Van
Barel, Marc ; Heinig,
Georg ; Kravanja,
Peter A stabilized superfast solver for nonsymmetric Toeplitz systems.
SIAM
J. Matrix Anal. Appl. 23 (2001), no.
2, 494--510 (electronic). (Reviewer: Aaron Melman) 65F05
(15A09 47B35)
[20] MR1855995
(2002f:65057) Heinig,
Georg ; Rost,
Karla Efficient inversion formulas for Toeplitz-plus-Hankel matrices
using trigonometric transformations. Structured matrices in
mathematics, computer science, and engineering, II (Boulder, CO, 1999),
247--264, Contemp.
Math., 281, Amer. Math. Soc., Providence, RI, 2001.
(Reviewer: A. Böttcher) 65F30
(15A09 47B35 65Y20)
[21] MR1855507
(2002f:15003) Heinig,
Georg Stability of Toeplitz matrix inversion formulas. Structured
matrices in mathematics, computer science, and engineering, II (Boulder,
CO, 1999), 101--116, Contemp.
Math., 281, Amer. Math. Soc., Providence, RI, 2001.
(Reviewer: A. Bultheel) 15A09
(47B35 65F05 65F35)
[22] MR1839449
(2002c:15017) Heinig,
Georg Not every matrix is similar to a Toeplitz matrix. Proceedings of
the Eighth Conference of the International Linear Algebra Society
(Barcelona, 1999). Linear
Algebra Appl. 332/334
(2001), 519--531. (Reviewer: Rafael Canto) 15A21
(15A18)
[23] MR1823348
(2002a:65053) Heinig,
Georg Chebyshev-Hankel matrices and the splitting approach for
centrosymmetric Toeplitz-plus-Hankel matrices. Linear
Algebra Appl. 327 (2001), no.
1-3, 181--196. (Reviewer: David Scott Watkins) 65F05
[24] MR1787950
(2001h:15008) Feldmann,
Sven ; Heinig,
Georg Partial realization for singular systems in standard form. Linear
Algebra Appl. 318 (2000), no.
1-3, 127--144. (Reviewer: Ma. Isabel García-Planas) 15A21
(93B15)
[25] MR1772878 Heinig,
Georg ; Rost,
Karla Representations of inverses of real Toeplitz-plus-Hankel
matrices using trigonometric transformations. Large-scale scientific
computations of engineering and environmental problems, II (Sozopol,
1999), 80--86, Notes
Numer. Fluid Mech., 73, Vieweg, Braunschweig, 2000. 65F35
(65F10)
[26] MR1779977
(2001e:35044a) Maz\cprime
ya, Vladimir ; Nazarov,
Serguei ; Plamenevskij,
Boris Asymptotic theory of elliptic boundary value problems in
singularly perturbed domains. Vol. I. Translated from the German by Georg
Heinig and Christian Posthoff. Operator
Theory: Advances and Applications, 111. Birkhäuser Verlag,
Basel, 2000. xxiv+435 pp. ISBN: 3-7643-6397-5 35J25
(35B25 35B40 74G99 74K99)
[27] MR1779718
(2001i:15003) Heinig,
Georg ; Rost,
Karla Hartley transform representations of symmetric Toeplitz matrix
inverses with application to fast matrix-vector multiplication. SIAM
J. Matrix Anal. Appl. 22 (2000), no.
1, 86--105 (electronic). (Reviewer: Predrag S. Stanimirovi\'c) 15A09
(15-04 47B35)
[28] MR1759995
(2001d:15004) Heinig,
Georg ; Rost,
Karla Hartley transform representations of inverses of real
Toeplitz-plus-Hankel matrices. Proceedings of the International Conference
on Fourier Analysis and Applications (Kuwait, 1998). Numer.
Funct. Anal. Optim. 21 (2000), no.
1-2, 175--189. (Reviewer: Marc Van Barel) 15A09
(47B35)
[29] MR1688863
(2000a:41006) Heinig,
Georg ; Al-Musallam,
Fadhel Hermite's formula for vector polynomial interpolation with
applications to structured matrices. Appl.
Anal. 70 (1999), no.
3-4, 331--345. 41A10
(15A09 41A63)
[30] MR1670847
(99k:47183) Feldmann,
Sven ; Heinig,
Georg Parametrization of minimal rank block Hankel matrix extensions
and minimal partial realizations. Integral
Equations Operator Theory 33 (1999), no.
2, 153--171. (Reviewer: Dmitry Kaliuzhnyi-Verbovetskyi) 47N70
(15A57 47A20 47B35 93B15)
[31] MR1655136
(99j:65037) Heinig,
Georg ; Rost,
Karla DFT representations of Toeplitz-plus-Hankel Bezoutians with
application to fast matrix-vector multiplication. ILAS Symposium on Fast
Algorithms for Control, Signals and Image Processing (Winnipeg, MB, 1997).
Linear
Algebra Appl. 284 (1998), no.
1-3, 157--175. (Reviewer: Ilse C. F. Ipsen) 65F05
(15A09 15A23 65T20)
[32] MR1637379
(99g:15016) Heinig,
Georg Matrices with higher order displacement structure. Linear
Algebra Appl. 278 (1998), no.
1-3, 295--301. (Reviewer: Tiberiu Constantinescu) 15A24
(15A09 15A23)
[33] MR1637315
(99i:15034) Heinig,
Georg ; Bojanczyk,
Adam Transformation techniques for Toeplitz and Toeplitz-plus-Hankel
matrices. II. Algorithms. Linear
Algebra Appl. 278 (1998), no.
1-3, 11--36. (Reviewer: Israel Koltracht) 15A57
[34] MR1628391
(99d:65091) Heinig,
Georg ; Rost,
Karla Representations of Toeplitz-plus-Hankel matrices using
trigonometric transformations with application to fast matrix-vector
multiplication. Proceedings of the Sixth Conference of the International
Linear Algebra Society (Chemnitz, 1996). Linear
Algebra Appl. 275/276
(1998), 225--248. (Reviewer: Marc Van Barel) 65F05
(15A57)
[35] MR1491804
(99c:65015) Heinig,
Georg ; Al-Musallam,
Fadhel Lagrange's formula for tangential interpolation with
application to structured matrices. Integral
Equations Operator Theory 30 (1998), no.
1, 83--100. (Reviewer: Mariano Gasca) 65D05
(15A09 41A05 65F05)
[36] MR1484075
(99a:15008) Heinig,
Georg Generalized Cauchy-Vandermonde matrices. Linear
Algebra Appl. 270
(1998), 45--77. (Reviewer: John Maroulas) 15A57
[37] MR1441719
(98c:15014) Heinig,
Georg The group inverse of the transformation ${\scr S}(X)=AX-XB$. Linear
Algebra Appl. 257
(1997), 321--342. (Reviewer: Ronald L. Smith) 15A09
(15A04)
[38] MR1436679
(98e:15026) Heinig,
Georg ; Bojanczyk,
Adam Transformation techniques for Toeplitz and Toeplitz-plus-Hankel
matrices. I. Transformations. Proceedings of the Fifth Conference of the
International Linear Algebra Society (Atlanta, GA, 1995). Linear
Algebra Appl. 254
(1997), 193--226. (Reviewer: Israel Koltracht) 15A57
[39] MR1632465
(99g:65034) Heinig,
Georg Solving Toeplitz systems after extension and transformation.
Toeplitz matrices: structures, algorithms and applications (Cortona,
1996). Calcolo
33 (1996), no.
1-2, 115--129 (1998). (Reviewer: L. W. Ehrlich) 65F05
(15A57)
[40] MR1416789 Feldmann,
Sven ; Heinig,
Georg On the partial realization problem for singular systems.
Proceedings of the 27th Annual Iranian Mathematics Conference (Shiraz,
1996), 79--100, Shiraz Univ., Shiraz, 1996. 93B15
(47N70)
[41] MR1400445
(97e:15009) Feldmann,
Sven ; Heinig,
Georg Vandermonde factorization and canonical representations of block
Hankel matrices. Proceedings of the Fourth Conference of the International
Linear Algebra Society (Rotterdam, 1994). Linear
Algebra Appl. 241/243
(1996), 247--278. (Reviewer: K. B. Datta) 15A23
(15A21 15A57)
[42] MR1351733
(96h:65044) Heinig,
Georg Inversion of generalized Cauchy matrices and other classes of
structured matrices. Linear algebra for signal processing
(Minneapolis, MN, 1992), 63--81, IMA
Vol. Math. Appl., 69, Springer, New York, 1995. (Reviewer:
Israel Koltracht) 65F05
(15A09 47B35)
[43] MR1340699
(96j:15018) Heinig,
Georg Matrix representations of Bezoutians. Special issue honoring
Miroslav Fiedler and Vlastimil Pták. Linear
Algebra Appl. 223/224
(1995), 337--354. (Reviewer: M. Tismenetsky) 15A57
(47A99)
[44] MR1324050
(96a:15002) Heinig,
Georg ; Rost,
Karla Recursive solution of Cauchy-Vandermonde systems of equations.
Linear
Algebra Appl. 218
(1995), 59--72. (Reviewer: J. Segethová) 15A06
[45] MR1319974
(95m:15005) Heinig,
Georg Generalized inverses of Hankel and Toeplitz mosaic matrices. Linear
Algebra Appl. 216
(1995), 43--59. (Reviewer: Ji Lin Qian) 15A09
(65F20)
[46] MR1295872
(95h:15006) Heinig,
Georg ; Hellinger,
Frank Displacement structure of generalized inverse matrices.
Generalized inverses (1993). Linear
Algebra Appl. 211
(1994), 67--83. (Reviewer: George D. Poole) 15A09
(65F20)
[47] MR1285491
(95e:47038) Heinig,
Georg ; Hellinger,
Frank The finite section method for Moore-Penrose inversion of
Toeplitz operators. Integral
Equations Operator Theory 19 (1994), no.
4, 419--446. (Reviewer: I. Spitkovsky) 47B35
(45L05 47A50 65J10 65R20)
[48] MR1275633
(95f:47004) Heinig,
Georg ; Hellinger,
Frank Displacement structure of pseudoinverses. Second Conference of
the International Linear Algebra Society (ILAS) (Lisbon, 1992). Linear
Algebra Appl. 197/198
(1994), 623--649. (Reviewer: M. Tismenetsky) 47A05
(15A09)
[49] MR1275519
(95b:93034) Feldmann,
Sven ; Heinig,
George Uniqueness properties of minimal partial realizations. Linear
Algebra Appl. 203/204
(1994), 401--427. (Reviewer: A. Bultheel) 93B15
[50] MR1266596
(95c:15008) Heinig,
Georg ; Hellinger,
Frank Moore-Penrose inversion of square Toeplitz matrices. SIAM
J. Matrix Anal. Appl. 15 (1994), no.
2, 418--450. (Reviewer: Jaroslav Zemánek) 15A09
(47A05 47A50 65F20)
[51] MR1263381
(95h:65017) Boja\'nczyk,
Adam W. ; Heinig,
Georg A multi-step algorithm for Hankel matrices. J.
Complexity 10 (1994), no.
1, 142--164. 65F05
(65F30)
[52] MR1227768
(94f:15006) Heinig,
Georg ; Hellinger,
Frank On the Bezoutian structure of the Moore-Penrose inverses of
Hankel matrices. SIAM
J. Matrix Anal. Appl. 14 (1993), no.
3, 629--645. (Reviewer: Jaroslav Zemánek) 15A09
(15A57 47A05 47B35)
[53] MR1208204
(93m:65034) Finck,
Tilo ; Heinig,
Georg ; Rost,
Karla An inversion formula and fast algorithms for Cauchy-Vandermonde
matrices. Linear
Algebra Appl. 183
(1993), 179--191. (Reviewer: Zeng Rong Chen) 65F05
(15A09)
[54] MR1179338
(93h:47029) Heinig,
Georg ; Jankowski,
Peter Kernel structure of block Hankel and Toeplitz matrices and
partial realization. Linear
Algebra Appl. 175
(1992), 1--30. (Reviewer: John Maroulas) 47B35
(15A57 47A99 47N70)
[55] MR1149742
(93b:15016) Heinig,
Georg Inverse problems for Hankel and Toeplitz matrices. Linear
Algebra Appl. 165
(1992), 1--23. (Reviewer: A. Böttcher) 15A24
(15A09 47B35 65F99)
[56] MR1151207 Heinig,
Georg Fast algorithms for structured matrices and interpolation
problems. Algebraic computing in control (Paris, 1991), 200--211,
Lecture
Notes in Control and Inform. Sci., 165, Springer, Berlin,
1991. 93B40
(65D05 65F30)
[57] MR1115032
(92e:15009) Heinig,
Georg On structured matrices, generalized Bezoutians and generalized
Christoffel-Darboux formulas. Topics in matrix and operator theory
(Rotterdam, 1989), 267--281, Oper.
Theory Adv. Appl., 50, Birkhäuser, Basel, 1991. (Reviewer:
Mihail Voicu) 15A09
(15A04 15A99)
[58] MR1115443
(92f:93027) Heinig,
Georg Formulas and algorithms for block Hankel matrix inversion and
partial realization. Signal processing, scattering and operator
theory, and numerical methods (Amsterdam, 1989), 79--90, Progr.
Systems Control Theory, 5, Birkhäuser Boston, Boston, MA,
1990. 93B15
(15A09 65F05 93B25 93B40)
[59] MR1064087
(91h:65057) Heinig,
Georg ; Jankowski,
Peter Fast algorithms for the solution of general Toeplitz systems. Wiss.
Z. Tech. Univ. Karl-Marx-Stadt 32 (1990), no.
1, 12--17. (Reviewer: Israel Koltracht) 65F30
[60] MR1038315
(91b:15002) Heinig,
Georg ; Rost,
Karla Matrices with displacement structure, generalized Bezoutians,
and Moebius transformations. The Gohberg anniversary collection, Vol.
I (Calgary, AB, 1988), 203--230, Oper.
Theory Adv. Appl., 40, Birkhäuser, Basel, 1989. (Reviewer: M.
Tismenetsky) 15A09
(15A30 15A57 47B35)
[61] MR1018214
(90j:15008) Heinig,
Georg ; Rost,
Karla Inversion of matrices with displacement structure. Integral
Equations Operator Theory 12 (1989), no.
6, 813--834. (Reviewer: L. Rodman) 15A09
(47A05)
[62] MR1013349
(90g:41002) Heinig,
Georg ; Hoppe,
Wolfram ; Rost,
Karla Structured matrices in interpolation and approximation problems.
Wiss.
Z. Tech. Univ. Karl-Marx-Stadt 31 (1989), no.
2, 196--202. 41A05
(41A10 41A30)
[63] MR0978582
(89m:15009) Heinig,
Georg ; Rost,
Karla Matrix representations of Toeplitz-plus-Hankel matrix inverses.
Linear
Algebra Appl. 113
(1989), 65--78. (Reviewer: L. Rodman) 15A24
(15A09 47B35)
[64] MR1007314
(90j:15007) Heinig,
Georg ; Amdebrhan,
Tewodros On the inverses of Hankel and Toeplitz mosaic matrices.
Seminar Analysis (Berlin, 1987/1988), 53--65,
Akademie-Verlag, Berlin, 1988. (Reviewer: M. Tismenetsky) 15A09
(15A57 47B35)
[65] MR0952139
(90a:65063) Heinig,
Georg ; Jankowski,
Peter ; Rost,
Karla Tikhonov regularisation for block Toeplitz matrices. Wiss.
Z. Tech. Univ. Karl-Marx-Stadt 30 (1988), no.
1, 41--45. (Reviewer: R. P. Tewarson) 65F10
[66] MR0951826
(89e:15035) Heinig,
Georg ; Rost,
Karla On the inverses of Toeplitz-plus-Hankel matrices. Linear
Algebra Appl. 106
(1988), 39--52. (Reviewer: Shao Kuan Li) 15A57
(15A09 15A21 47B35)
[67] MR0928483
(89c:15029) Heinig,
Georg Structure theory and fast inversion of Hankel striped matrices.
I. Integral
Equations Operator Theory 11 (1988), no.
2, 205--229. (Reviewer: L. Rodman) 15A57
(15A09 47B35 65F05)
[68] MR0909083
(88j:15003) Heinig,
Georg ; Rost,
Karla Inversion of generalized Toeplitz-plus-Hankel matrices. Wiss.
Z. Tech. Univ. Karl-Marx-Stadt 29 (1987), no.
2, 209--211. (Reviewer: O. Pokorná) 15A09
(15A57)
[69] MR0903699
(88h:15051) Heinig,
Georg ; Jungnickel,
Uwe Hankel matrices generated by Markov parameters, Hankel matrix
extension, partial realization, and Padé-approximation. Operator
theory and systems (Amsterdam, 1985), 231--253, Oper.
Theory Adv. Appl., 19, Birkhäuser, Basel, 1986. (Reviewer: A.
Bultheel) 15A99
(41A21 47B35)
[70] MR0830336
(87j:15032) Heinig,
Georg ; Jungnickel,
Uwe Lyapunov equations for companion matrices. Linear
Algebra Appl. 76
(1986), 137--147. (Reviewer: Anna Lee) 15A24
(15A57)
[71] MR0830335
(87j:15044) Heinig,
Georg ; Jungnickel,
Uwe Hankel matrices generated by the Markov parameters of rational
functions. Linear
Algebra Appl. 76
(1986), 121--135. (Reviewer: Anna Lee) 15A57
(15A21)
[72] MR0818334
(87c:47037) Heinig,
Georg Partial indices for Toeplitz-like operators. Integral
Equations Operator Theory 8 (1985), no.
6, 805--824. (Reviewer: L. Rodman) 47B35
[73] MR0803652
(86m:15003) Heinig,
Georg ; Rost,
Karla Fast inversion of Toeplitz-plus-Hankel matrices. Wiss.
Z. Tech. Hochsch. Karl-Marx-Stadt 27 (1985), no.
1, 66--71. (Reviewer: Anna Lee) 15A09
(15A57 65F30)
[74] MR0803651
(87e:15029) Heinig,
Georg ; Jungnickel,
Uwe On the Bezoutian and root localization for polynomials. Wiss.
Z. Tech. Hochsch. Karl-Marx-Stadt 27 (1985), no.
1, 62--65. (Reviewer: B. N. Datta) 15A24
(93D05)
[75] MR0789615
(86m:47017) Heinig,
Georg ; Silbermann,
Bernd Factorization of matrix functions in algebras of bounded
functions. Spectral theory of linear operators and related topics
(Timi\c soara/Herculane, 1983), 157--177, Oper.
Theory Adv. Appl., 14, Birkhäuser, Basel, 1984. (Reviewer: M.
Cotlar) 47A68
(47B35)
[76] MR0782105
(86i:47034b) Heinig,
Georg ; Rost,
Karla Algebraic methods for Toeplitz-like matrices and operators. Operator
Theory: Advances and Applications, 13. Birkhäuser Verlag,
Basel, 1984. 212 pp. ISBN: 3-7643-1643-8 (Reviewer: R. V. Duduchava)
47B35
(15A57 47A50 47A65 65F30)
[77] MR0762600
(86k:12004) Heinig,
Georg ; Jungnickel,
Uwe On the Routh-Hurwitz and Schur-Cohn problems for matrix
polynomials and generalized Bezoutians. Math.
Nachr. 116
(1984), 185--196. (Reviewer: O. Taussky-Todd) 12D10
(15A57 47A56 47B99 93D05)
[78] MR0761693
(86h:65036) Heinig,
Georg ; Rost,
Karla Schnelle Invertierungsalgorithmen für einige Klassen von
Matrizen. (German) [Fast inversion algorithms for some classes of
matrices] Wiss.
Z. Tech. Hochsch. Karl-Marx-Stadt 26 (1984), no.
2, 235--241. 65F05
(15A09)
[79] MR0756628
(86i:47034a) Heinig,
Georg ; Rost,
Karla Algebraic methods for Toeplitz-like matrices and operators. Mathematical
Research, 19. Akademie-Verlag, Berlin, 1984. 212 pp.
(Reviewer: R. V. Duduchava) 47B35
(15A57 47A50 47A65 65F30)
[80] MR0732155
(86j:65034) Heinig,
Georg ; Rost,
Karla Invertierung von Toeplitzmatrizen und ihren Verallgemeinerungen.
I. Die Methode der $UV$-Reduktion. (German) [Inversion of Toeplitz
matrices and their generalizations. I. The method of $UV$-reduction] Beiträge
Numer. Math. No.
12 (1984), 55--73. (Reviewer: Heinz Langer) 65F05
(15A09 47B35)
[81] MR0728750
(85g:15028) Heinig,
Georg Inversion of Toeplitz and Hankel matrices with singular
sections. Wiss.
Z. Tech. Hochsch. Karl-Marx-Stadt 25 (1983), no.
3, 326--333. (Reviewer: B. Levinger) 15A57
(15A09 65F05)
[82] MR0675087
(84h:15015) Heinig,
Georg ; Jungnickel,
Uwe Zur Lösung von Matrixgleichungen der Form $AX-XB=C$. (German) [On
the solution of matrix equations of the form $AX-XB=C$] Wiss.
Z. Tech. Hochsch. Karl-Marx-Stadt 23 (1981), no.
4, 387--393. 15A24
[83] MR0607132
(82e:47025) Heinig,
Georg Linearisierung und Realisierung holomorpher Operatorfunktionen.
(German) Wiss.
Z. Tech. Hochsch. Karl-Marx-Stadt 22 (1980), no.
5, 453--459. (Reviewer: Heinz Langer) 47A68
[84] MR0656315
(83i:15009) Heinig,
Georg ; Rost,
Karla Invertierung einiger Klassen von Matrizen und Operatoren. I.
Endliche Toeplitzmatrizen und ihre Verallgemeinerungen. (German)
[Inversion of some classes of matrices and operators. I. Finite Toeplitz
matrices and their generalizations] Wissenschaftliche
Informationen [Scientific Information], 12. Technische Hochschule
Karl-Marx-Stadt, Sektion Mathematik, Karl-Marx-Stadt, 1979. 32 pp. 15A09
(15A57 45E10 47B35)
[85] MR0563597
(82d:47005) Heinig,
Georg Bezoutiante, Resultante und Spektralverteilungsprobleme für
Operatorpolynome. (German) Math.
Nachr. 91 (1979), 23--43. (Reviewer: K.
Veseli\'c) 47A10
[86] MR0566705
(81k:15025) Heinig,
Georg Transformationen von Toeplitz- und Hankelmatrizen. (German) Wiss.
Z. Tech. Hochsch. Karl-Marx-Stadt 21 (1979), no.
7, 859--864. (Reviewer: K. Veseli\'c) 15A57
(47B35)
[87] MR0564753
(81k:47069) Ha\u\i
nig, G. Invertibility of singular integral operators. (Russian) Soobshch.
Akad. Nauk Gruzin. SSR 96 (1979), no. 1, 29--32.
(Reviewer: B. S. Rubin) 47G05
(45P05)
[88] MR0536222
(80k:47018) Heinig,
Georg Über ein kontinuierliches Analogon der Begleitmatrix eines
Polynoms und die Linearisierung einiger Klassen holomorpher
Operatorfunktionen. (German) Beiträge
Anal. No. 13 (1979), 111--126. (Reviewer: Heinz Langer) 47A60
[89] MR0528615
(80g:15015b) Heinig,
Georg Verallgemeinerte Resultantenbegriffe bei beliebigen
Matrixbüscheln. II. Gemischter Resultantenoperator. (German) Wiss.
Z. Tech. Hochsch. Karl-Marx-Stadt 20 (1978), no.
6, 701--703. (Reviewer: R. C. Thompson) 15A30
(15A21)
[90] MR0528614
(80g:15015a) Heinig,
Georg Verallgemeinerte Resultantenbegriffe bei beliebigen
Matrixbüscheln. I. Einseitiger Resultantenoperator. (German) Wiss.
Z. Tech. Hochsch. Karl-Marx-Stadt 20 (1978), no.
6, 693--700. (Reviewer: R. C. Thompson) 15A30
(15A21)
[91] MR0487565
(58 #7184b) Heinig,
Georg Endliche Toeplitzmatrizen und zweidimensionale diskrete
Wiener-Hopf-Operatoren mit homogenem Symbol. II. Über die normale
Auflösbarkeit einer Klasse zweidimensionaler Wiener-Hopf-Operatoren.
(German) Math.
Nachr. 82 (1978), 53--68. (Reviewer: A.
Devinatz) 47B35
[92] MR0487564
(58 #7184a) Heinig,
Georg Endliche Toeplitzmatrizen und zweidimensionale
Wiener-Hopf-Operatoren mit homogenem Symbol. I. Eigenschaften endlicher
Toeplitzmatrizen. (German) Math.
Nachr. 82 (1978), 29--52. (Reviewer: A.
Devinatz) 47B35
[93] MR0511236
(58 #23408) Heinig,
Georg ; Rost,
Karla Über homogene Gleichungen vom Faltungstyp auf einem endlichen
Intervall. (German) Demonstratio
Math. 10 (1977), no. 3-4, 791--806. 45E10
[94] MR0498635
(58 #16721) Heinig,
Georg Über Block-Hankelmatrizen und den Begriff der Resultante für
Matrixpolynome. (German) Wiss.
Z. Techn. Hochsch. Karl-Marx-Stadt 19 (1977),
no. 4, 513--519. (Reviewer: J. G. Horne) 15A21
[95] MR0467349
(57 #7208) Ha\u\i
nig, G. The notion of Bezoutian and of resultant for operator pencils.
(Russian) Funkcional.
Anal. i Prilo\v zen. 11 (1977), no. 3, 94--95.
(Reviewer: E. R. Cekanovskii) 47A10
[96] MR0425652
(54 #13606) Gohberg,
I. C. ; Ha\u\i
nig, G. The resultant matrix and its generalizations. II. The
continual analogue of the resultant operator. (Russian) Acta
Math. Acad. Sci. Hungar. 28 (1976), no. 3-4,
189--209. (Reviewer: L. de Branges) 47A65
[97] MR0423115
(54 #11096) Heinig,
Georg Periodische Jacobimatrizen im entarteten Fall. (German) Wiss.
Z. Techn. Hochsch. Karl-Marx-Stadt 18 (1976),
no. 4, 419--423. (Reviewer: Richard E. Frankfurt) 47B35
[98] MR0450910
(56 #9201) Heinig,
G. Über die Invertierung und das Spektrum von singulären
Integraloperatoren mit Matrixkoeffizienten. (German) 5. Tagung über
Probleme und Methoden der Mathematischen Physik (Techn. Hochschule
Karl-Marx-Stadt, Karl-Marx-Stadt, 1975), Heft 1, pp. 52--59.
Wiss. Schr. Techn. Hochsch. Karl-Marx-Stadt, Techn. Hochsch.,
Karl-Marx-Stadt, 1975. (Reviewer: Robert L. Warnock) 45E05
[99] MR0380495
(52 #1395) Gohberg,
I. C. ; Ha\u\i
nig, G. On matrix integral operators on a finite interval with kernels
depending on the difference of the arguments. (Russian) Rev.
Roumaine Math. Pures Appl. 20 (1975), 55--73.
(Reviewer: A. Devinatz) 47B35
(45F05)
[100] MR0380471
(52 #1371) Gohberg,
I. C. ; Ha\u\i
nig, G. The resultant matrix and its generalizations. I. The resultant
operator for matrix polynomials. (Russian) Acta
Sci. Math. (Szeged) 37 (1975), 41--61.
(Reviewer: L. de Branges) 47A60
(15A15)