Zbl 1032.15020 Jenek, Slawomir; Szulc, Tomasz; Uhlig, Frank
On the class of $D_{k}$-symmetrizable matrices. (English)
Linear Algebra Appl. 363, 133-145 (2003). MSC 2000: *15A57 15A21 15A18, Reviewer: Manuel Ladra Gonzalez
2. Zbl 1012.00014 Dreyfus, Tommy; Eisenberg, Ted; Uhlig, Frank
Report on the educational activities during the 9th ILAS Conference at
Haifa, June 2001. (English)
Linear Algebra Appl. 361, 23-39 (2003). MSC 2000: *00A35 97C90 15-01
3. Zbl pre01880053 Uhlig, Frank
A new unified, balanced, and conceptual approach to teaching linear
algebra. (English)
Linear Algebra Appl. 361, 147-159 (2003). MSC 2000: *97U99
4. Zbl 0982.65049 Uhlig, Frank
Constructive ways for generating (generalized) real orthogonal
matrices as products of (generalized) symmetries. (English)
Linear Algebra Appl. 332-334, No.1-3, 459-467 (2001). MSC 2000: *65F30 15A57 20G20, Reviewer: Emil Minchev
5. Zbl pre01374940 Uhlig, Frank
General polynomial roots and their multiplicities in $O(N)$ memory and
$O(N^2)$ time. (English)
Linear Multilinear Algebra 46, No.4, 327-359 (1999). MSC 2000: *12D10 65H05 65F15
6. Zbl 0896.65036 Uhlig, Frank
Partial convergence and sign convergence of matrix powers via eigen
c-ads. (English)
Electron. J. Linear Algebra 3, 75-92 (1998). MSC 2000: *65F30 15A18, Reviewer: K.Burian
7. Zbl 0883.65029 Uhlig, Frank
The DQR algorithm, basic theory, convergence, and conditional
stability. (English)
Numer. Math. 76, No.4, 515-553 (1997). MSC 2000: *65F15 65F35, Reviewer: A.Frommer
8. Zbl 0880.35136 Nylen, Peter; Uhlig, Frank
Inverse eigenvalue problem: Existence of special spring-mass
systems. (English)
Inverse Probl. 13, No.4, 1071-1081 (1997). MSC 2000: *35R30 15A90 74J25
9. Zbl 0879.15007 Nylen, Peter; Uhlig, Frank
Inverse eigenvalue problems associated with spring-mass systems.
(English)
Linear Algebra Appl. 254, 409-425 (1997). MSC 2000: *15A18 70J99 70J10, Reviewer: A.L.Andrew
10. Zbl 0877.15006 Merikoski, Jorma Kaarlo; Urpala, Uoti; Virtanen, Ari; Tam, Tin-Yau; Uhlig, Frank
A best upper bound for the 2-norm condition number of a matrix.
(English)
Linear Algebra Appl. 254, 355-365 (1997). MSC 2000: *15A12 15A42, Reviewer: P.Narain
11. Zbl 0865.00040 Hall, Frank (ed.); Pothen, Alex (ed.); Uhlig, Frank (ed.); Van Dooren, Paul (ed.)
Proceedings of the 5th conference of the International Linear Algebra
Society, Atlanta, GA, USA, August 16--19, 1995. (English)
Linear Algebra Appl. 254, 554 p. (1997). MSC 2000: *00B25 15-06
12. Zbl 0857.65002 Engeln-Müllges, Gisela; Uhlig, Frank
Numerical algorithms with Fortran. Transl. from the German by Maria
Schon a. Frank Uhlig. Incl. 1 CD-ROM. (English)
Berlin: Springer. xxii, 602 p. DM 68.00; \sterling 29.50; FF 257.00; öS
496.40; sFr 60.00 (1996). MSC 2000: *65-01 65Dxx 65Fxx, Reviewer: M.Vuorinen
13. Zbl 0857.65003 Engeln-Müllges, Gisela; Uhlig, Frank
Numerical algorithms with C. Transl. from the German by Maria Schon a.
Frank Uhlig. Incl. 1 CD-ROM. (English)
Berlin: Springer. xxii, 596 p. DM 68.00; \sterling 29.50; FF 257.00; öS
496.40; sFr 60.00 (1996). MSC 2000: *65-01 65Yxx 65-02, Reviewer: M.Vuorinen
14. Zbl 0851.15018 Li, Chi-Kwong; Tsing, Nam-Kui; Uhlig, Frank
Numerical ranges of an operator on an indefinite inner product
space. (English)
Electron. J. Linear Algebra 1, 1-17 (1996). MSC 2000: *15A60 47A12 46C20, Reviewer: A.-A.Jafarian
15. Zbl 0821.15009 Uhlig, Frank
Computing the inertias in symmetric matrix pencils. (English)
Linear Algebra Appl. 201, 199-209 (1994). MSC 2000: *15A22 15A18 65F15, Reviewer: J.M.Day
16. Zbl 0817.05044 Nylen, Peter; Uhlig, Frank
Realizations of interlacing by tree-patterned matrices. (English)
Linear Multilinear Algebra 38, No.1-2, 13-37 (1994). MSC 2000: *05C50 05C05 05C20, Reviewer: A.Torgasev
17. Zbl 0794.15003 Nylen, Peter; Tam, Tin-Yau; Uhlig, Frank
On the eigenvalues of principal submatrices of normal, Hermitian and
symmetric matrices. (English)
Linear Multilinear Algebra 36, No.1, 69-78 (1993). MSC 2000: *15A18 15A51 15A57, Reviewer: A.L.Andrew
18. Zbl 0790.15011 Evard, Jean-Claude; Uhlig, Frank
Comparison of the sets of polynomials $p$ and $q$ such that $X=p(A)$
and $Y=q(B)$ are solutions of the matrix equations $f(X)=A$ and
$f(Y)=B$. (English)
Linear Algebra Appl. 185, 41-47 (1993). MSC 2000: *15A24, Reviewer: T.Nôno
19. Zbl 0766.65043 Uhlig, Frank
Are the coefficients of a polynomial well-conditioned functions of its
roots? (English)
Numer. Math. 61, No.3, 383-393 (1992). MSC 2000: *65H05 65D20 26C10, Reviewer: J.L.Fernández Muniz
20. Zbl 0753.15009 Evard, Jean-Claude; Uhlig, Frank
On the matrix equation $f(x)=A$. (English)
Linear Algebra Appl. 162-164, 447-519 (1992). MSC 2000: *15A24, Reviewer: J.de Graaf
21. Zbl 0742.00069 Carlson, David H.(ed.); Uhlig, Frank (ed.)
Directions in matrix theory: The fourth Auburn linear algebra
conference, held in Auburn, AL, USA, March 20-23, 1990. Dedicated to Ky
Fan. (English)
Linear Algebra and Its Applications. 162-164. New York: Elsevier Science
Publishing, 800 p. (1992). MSC 2000: *00B25 00B30 15-06
22. Zbl 0738.15001 Uhlig, Frank; Tam, Tin-Yau; Carlson, David
Directions in matrix theory, Auburn 1990, conference report.
(English)
Linear Algebra Appl. 162-164, 711-797 (1992). MSC 2000: *15-06 00B05 00B25
23. Zbl 0725.15014 Tsing, Nam-Kiu; Uhlig, Frank
Inertia, numerical range, and zeros of quadratic forms for matrix
pencils. (English)
SIAM J. Matrix Anal. Appl. 12, No.1, 146-159 (1991). MSC 2000: *15A22 15A60 15A63, Reviewer: M.de la Sen
24. Zbl 0643.00008 Uhlig, Frank (ed.); Grone, Robert (ed.)
Current trends in matrix theory. Proceedings of the Third Auburn
Matrix Theory Conference, held March 19-22, 1986, at Auburn University,
Auburn, Alabama, U.S.A. (English)
New York - Amsterdam - London: North-Holland (Elsevier Science Publishing
Co., Inc.). XI, 432 p.; {\$} 65.00; Dfl. 225.00 (1987). MSC 2000:
*00B25 05-06 12-06
25. Zbl 0612.15006 Uhlig, Frank
On the matrix equation $AX=B$ with applications to the generators of a
controllability matrix. (English)
Linear Algebra Appl. 85, 203-209 (1987). MSC 2000: *15A24 15A03 93B05, Reviewer: M.Sezer
26. Zbl 0601.47033 Ran, André; Uhlig, Frank
A note on a new description of invariant maximal nonnegative subspaces
in an indefinite inner product space. (English)
Linear Algebra Appl. 71, 273-274 (1985). MSC 2000: *47B50 46C20 47A15, Reviewer: B.McEnnis
27. Zbl 0582.01019 Carlson, David; Markham, Thomas L.; Uhlig, Frank
Emilie Haynsworth, 1916-1985 (Obituary). (English)
Linear Algebra Appl. 75, 269-276 (1986). MSC 2000: *01A70 01A60
28. Zbl 0581.15009 Uhlig, Frank
The field of values of a complex matrix, an explicit description in
the 2$\times 2$ case. (English)
SIAM J. Algebraic Discrete Methods 6, 541-545 (1985). MSC 2000: *15A60, Reviewer: N.M.Zobin
29. Zbl 0528.15006 Uhlig, Frank
Relations between the fields of values of a matrix and of its polar
factors: The 2x2 real and complex case. (English)
Linear Algebra Appl. 52-53, 701-715 (1983). MSC 2000: *15A60 15A23
30. Zbl 0503.15011 Uhlig, Frank
A note on semibounded pairs of inner products. (English)
Linear Multilinear Algebra 11, 179-181 (1982). MSC 2000: *15A63 46C20 46C05
31. Zbl 0488.15002 Johnson, Charles R.; Uhlig, Frank; Warner, Dan
Sign patterns, nonsingularity, and the solvability of Ax=b.
(English)
Linear Algebra Appl. 47, 1-9 (1982). MSC 2000: *15A09 15A48 15A03
32. Zbl 0512.15005 Uhlig, Frank
Explicit polar decomposition and a near-characteristic polynomial: The
2x2 case. (English)
Linear Algebra Appl. 38, 239-249 (1981). MSC 2000: *15A21 15A15
33. Zbl 0501.15016 Uhlig, Frank
Inertia and eigenvalue relations between symmetrized and symmetrizing
matrices for the real and the general field case. (English)
Linear Algebra Appl. 35, 203-226 (1981). MSC 2000: *15A72 15A63 15A21
34. Zbl 0418.15008 Uhlig, Frank
A rational canonical pair form for a pair of symmetric matrices over
an arbitrary field F with char $F\neq 2$ and applications to finest
simultaneous block diagonalizations. (English)
Linear Multilinear Algebra 8, 41-67 (1979). MSC 2000: *15A21 15A63
35. Zbl 0408.15022 Uhlig, Frank
A recurring theorem about pairs of quadratic forms and extensions: A
survey. (English)
Linear Algebra Appl. 25, 219-237 (1979). MSC 2000: *15A63 15A48 15-06
36. Zbl 0363.15002 Schlegelmilch, Rolf; Uhlig, Frank
Über Matrizen mit semidefinitem Realteil, Imaginärteil oder polarem
Defekt und ihre Eigenwerte. (German)
Linear Multilinear Algebra 5, 225-228 (1977). MSC 2000: *15A57 15A18
37. Zbl 0338.15009 Uhlig, Frank
A canonical form for a pair of real symmetric matrices that generate a
nonsingular pencil. (English)
Linear Algebra Appl. 14, 189-209 (1976). MSC 2000: *15A30 15A21 15-03
38. Zbl 0284.15015 Uhlig, Frank
On the nonsingular symmetric factors of a real matrix. (English)
Linear Algebra Appl. 8, 351-354 (1974). MSC 2000: *15A30
39. Zbl 0291.15010 Uhlig, Frank
Simultaneous block diagonalization of two real symmetric matrices.
(English)
Linear Algebra Appl. 7, 281-289 (1973). MSC 2000: *15A21
40. Zbl 0291.15011 Uhlig, Frank
The number of vectors jointly annihilated by two real quadratic forms
determines the inertia of matrices in the associated pencil.
(English)
Pac. J. Math. 49, 537-542 (1973). MSC 2000: *15A21 15A63
41. Zbl 0291.15012 Uhlig, Frank
On the maximal number of linearly independent real vectors annihilated
simultaneously by two real quadratic forms. (English)
Pac. J. Math. 49, 543-560 (1973). MSC 2000: *15A21 15A63
42. Zbl 0291.15013 Uhlig, Frank
Definite and semidefinite matrices in a real symmetric matrix
pencil. (English)
Pac. J. Math. 49, 561-568 (1973). MSC 2000: *15A21 15A63
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