Items Authored by Uhlig, Frank

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[1] MR1969065 (2004a:15026) Jenek, S\l awomir; Szulc, Tomasz; Uhlig, Frank On the class of $D\sb k$-symmetrizable matrices. Special issue on nonnegative matrices, $M$-matrices and their generalizations (Oberwolfach, 2000). Linear Algebra Appl. 363 (2003), 133--145. (Reviewer: Hiroshi Nakazato) 15A42 (15A57)

[2] MR1955559 Uhlig, Frank A new unified, balanced, and conceptual approach to teaching linear algebra. Ninth Conference of the International Linear Algebra Society (Haifa, 2001). Linear Algebra Appl. 361 (2003), 147--159. 15-01 (00A35)

[3] MR1918266 Boman, Eugene; Uhlig, Frank When is $\frac{1}{a+b}=\frac 1a+\frac 1b$ anyway? College Math. J. 33 (2002), no. 4, 296--300. 15A99

[4] MR1839445 (2002f:15018) Uhlig, Frank Constructive ways for generating (generalized) real orthogonal matrices as products of (generalized) symmetries. Proceedings of the Eighth Conference of the International Linear Algebra Society (Barcelona, 1999). Linear Algebra Appl. 332/334 (2001), 459--467. 15A23

[5] MR1730074 (2000i:12010) Uhlig, Frank General polynomial roots and their multiplicities in $O(n)$ memory and $O(n\sp 2)$ time. Linear and Multilinear Algebra 46 (1999), no. 4, 327--359. 12Y05 (12D10 15A18 65F15)

[6] MR1624791 (99d:15023) Uhlig, Frank Partial convergence and sign convergence of matrix powers via eigen $c$-ads. Electron. J. Linear Algebra 3 (1998), 75--92 (electronic). (Reviewer: K. Chandrasekhara Rao) 15A99 (15A18)

[7] MR1464155 (98g:65033) Uhlig, Frank The $\scr D\scr Q\scr R$ algorithm, basic theory, convergence, and conditional stability. Numer. Math. 76 (1997), no. 4, 515--553. (Reviewer: George D. Poole) 65F15 (15A12 15A18 65F35)

[8] MR1463594 (98m:34051) Nylen, Peter; Uhlig, Frank Inverse eigenvalue problem: existence of special spring-mass systems. Inverse Problems 13 (1997), no. 4, 1071--1081. (Reviewer: Zdzis\l aw W. Trzaska) 34B24 (15A18 34A55 70J30)

[9] MR1436689 (98e:15013) Nylen, Peter; Uhlig, Frank Inverse eigenvalue problems associated with spring-mass systems. Proceedings of the Fifth Conference of the International Linear Algebra Society (Atlanta, GA, 1995). Linear Algebra Appl. 254 (1997), 409--425. (Reviewer: Zdzis\l aw W. Trzaska) 15A18 (34L40 70J05)

[10] MR1436686 (97m:65078) 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. Proceedings of the Fifth Conference of the International Linear Algebra Society (Atlanta, GA, 1995). Linear Algebra Appl. 254 (1997), 355--365. 65F15 (65F35)

[11] MR1436669 (97i:15003) Proceedings of the Fifth Conference of the International Linear Algebra Society. Held at Georgia State University, Atlanta, GA, August 16--19, 1995. Edited by Frank Hall, Alex Pothen, Frank Uhlig and Paul Van Dooren. Linear Algebra Appl. 254 (1997). Elsevier Science B.V., Amsterdam, 1997. pp. i--vii and 1--551. 15-06 (00B25)

[12] MR1418167 (97g:65013) Engeln-Müllges, Gisela; Uhlig, Frank Numerical algorithms with Fortran. With an appendix by Jürgen Dietel et al. Translated from the 1993 seventh German edition by M. Schon and Uhlig. With one CD-ROM. Springer-Verlag, Berlin, 1996. xxii+602 pp. ISBN: 3-540-60529-0 65-04 (00A20 65-00 65Y15)

[13] MR1402693 (97i:65001) Engeln-Müllges, Gisela; Uhlig, Frank Numerical algorithms with C. Appendix and CD-ROM with ANSI C programs by Albert Becker, Jürgen Dietel and Uli Eggermann. Translated from the seventh (1993) German edition by Maria Schon and Uhlig. Springer-Verlag, Berlin, 1996. xxii+596 pp. ISBN: 3-540-60530-4 (Reviewer: Ian Gladwell) 65-01 (65-04)

[14] MR1401906 (97g:47005) Li, Chi-Kwong; Tsing, Nam-Kiu; Uhlig, Frank Numerical ranges of an operator on an indefinite inner product space. Electron. J. Linear Algebra 1 (1996), 1--17 (electronic). (Reviewer: Jin-Chuan Hou) 47A12 (15A60 47B50)

[15] MR1310536 (95k:15015) Nylen, Peter; Uhlig, Frank Realizations of interlacing by tree-patterned matrices. Linear and Multilinear Algebra 38 (1994), no. 1-2, 13--37. 15A18 (05C50)

[16] MR1274888 (95c:15027) Uhlig, Frank Computing the inertias in symmetric matrix pencils. Linear Algebra Appl. 201 (1994), 199--209. (Reviewer: James Weldon Demmel) 15A22

[17] MR1308910 (96h:15010) Nylen, Peter; Tam, Tin Yau; Uhlig, Frank On the eigenvalues of principal submatrices of normal, Hermitian and symmetric matrices. Linear and Multilinear Algebra 36 (1993), no. 1, 69--78. 15A18

[18] MR1213170 (94e:15034) 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 $f(Y)=B$. Linear Algebra Appl. 185 (1993), 41--47. (Reviewer: S. P. Bhattacharyya) 15A24

[19] MR1151777 (92k:65082) Uhlig, Frank Are the coefficients of a polynomial well-conditioned functions of its roots? Numer. Math. 61 (1992), no. 3, 383--393. 65G99 (65F35 65H05 93B40)

[20] MR1148414 (93a:15020) Evard, Jean-Claude; Uhlig, Frank On the matrix equation $f(X)=A$. Directions in matrix theory (Auburn, AL, 1990). Linear Algebra Appl. 162/164 (1992), 447--519. (Reviewer: Anna Lee) 15A24

[21] MR1148389 (92h:15001) Directions in matrix theory. Papers from the Fourth Linear Algebra Conference dedicated to Ky Fan held at Auburn University, Auburn, Alabama, March 20--23, 1990. Edited by David H. Carlson and Frank Uhlig. Linear Algebra Appl. 162/164 (1992). Elsevier Science B.V., Amsterdam, 1992. pp. i--x and 1--800. 15-06 (00B25)

[22] MR1082332 (92a:15015) Tsing, Nam-Kiu; Uhlig, Frank Inertia, numerical range, and zeros of quadratic forms for matrix pencils. SIAM J. Matrix Anal. Appl. 12 (1991), no. 1, 146--159. (Reviewer: Branko Najman) 15A22 (15A57 15A60 15A63)

[23] MR0898886 (88e:15001) Current trends in matrix theory. Proceedings of the third Auburn matrix theory conference held at Auburn University, Auburn, Ala., March 19--22, 1986. Edited by Frank Uhlig and Robert Grone. North-Holland Publishing Co., New York, 1987. xii+432 pp. ISBN: 0-444-01181-1 15-06

[24] MR0869354 (87m:15036) Uhlig, Frank On the matrix equation $AX=B$ with applications to the generators of a controllability matrix. Linear Algebra Appl. 85 (1987), 203--209. (Reviewer: M. M. Konstantinov) 15A24 (93B05 93B25)

[25] MR0857413 (87k:51053) Uhlig, Frank Ein übersehener elementargeometrischer Beweis der Ableitungsgleichungen für Sinus und Kosinus. (German) [An overlooked elementary-geometric proof of the differential equations for sine and cosine] Mitt. Math. Sem. Giessen No. 173 (1986), 36--41. (Reviewer: J. Hoschek) 51N05

[26] MR0825412 (87f:01036) Carlson, David; Markham, Thomas L.; Uhlig, Frank Emilie Haynsworth, 1916--1985. Linear Algebra Appl. 75 (1986), 269--276. 01A70

[27] MR0813050 (87c:15050) Ran, André; Uhlig, Frank A note on a new description of invariant maximal nonnegative subspaces in an indefinite inner product space. Linear Algebra Appl. 71 (1985), 273--274. (Reviewer: L. Rodman) 15A63 (15A23)

[28] MR0800985 (86j:15019) Uhlig, Frank The field of values of a complex matrix, an explicit description in the $2\times 2$ case. SIAM J. Algebraic Discrete Methods 6 (1985), no. 4, 541--545. (Reviewer: Shao Kuan Li) 15A60

[29] MR0709381 (84i:15018) Uhlig, Frank Relations between the fields of values of a matrix and of its polar factors: the $2\times 2$ real and complex case. Linear Algebra Appl. 52/53 (1983), 701--715. (Reviewer: Thomas L. Markham) 15A60

[30] MR0672727 (84h:15005) Johnson, Charles R.; Uhlig, Frank; Warner, Dan Sign patterns, nonsingularity, and the solvability of $Ax=b$. Linear Algebra Appl. 47 (1982), 1--9. (Reviewer: D. B. Hunter) 15A09 (15A06)

[31] MR0650730 (83d:15019) Uhlig, Frank A note on semibounded pairs of inner products. Linear and Multilinear Algebra 11 (1982), no. 2, 179--181. (Reviewer: Hans Arwed Keller) 15A63 (46D05)

[32] MR0636040 (83j:15012) Uhlig, Frank Explicit polar decomposition and a near-characteristic polynomial: the $2\times 2$ case. Linear Algebra Appl. 38 (1981), 239--249. (Reviewer: M. Shafqat Ali) 15A21

[33] MR0599855 (82g:15006) Uhlig, Frank Inertia and eigenvalue relations between symmetrized and symmetrizing matrices for the real and the general field case. Linear Algebra Appl. 35 (1981), 203--226. (Reviewer: Thomas L. Markham) 15A21 (01A55 01A60)

[34] MR0548673 (80j:15009) Uhlig, Frank A rational canonical pair form for a pair of symmetric matrices over an arbitrary field $F$ with ${\rm char}F\not=2$ and applications to finest simultaneous block diagonalizations. Linear and Multilinear Algebra 8 (1979/80), no. 1, 41--67. (Reviewer: J. L. Brenner) 15A21

[35] MR0528727 (80h:15015) Uhlig, Frank A recurring theorem about pairs of quadratic forms and extensions: a survey. Linear Algebra Appl. 25 (1979), 219--237. (Reviewer: H. D. Warner) 15A63 (15-03)

[36] MR0460364 (57 #358) Schlegelmilch, Rolf; Uhlig, Frank Über Matrizen mit semidefinitem Realteil, Imaginärteil oder polarem Defekt und ihre Eigenwerte. (German) Linear and Multilinear Algebra 5 (1977/78), no. 3, 225--228. (Reviewer: B. David Saunders) 15A57

[37] MR0573011 (58 #28032) Uhlig, Frank A canonical form for a pair of real symmetric matrices that generate a nonsingular pencil. Linear Algebra and Appl. 14 (1976), no. 3, 189--209. 15A21

[38] MR0342528 (49 #7274) Uhlig, Frank On the nonsingular symmetric factors of a real matrix. Linear Algebra and Appl. 8 (1974), 351--354. (Reviewer: C. G. Cullen) 15A15

[39] MR0352147 (50 #4634) Uhlig, Frank Definite and semidefinite matrices in a real symmetric matrix pencil. Pacific J. Math. 49 (1973), 561--568. (Reviewer: Marvin Marcus) 15A48

[40] MR0352133 (50 #4620) Uhlig, Frank On the maximal number of linearly independent real vectors annihilated simultaneously by two real quadratic forms. Pacific J. Math. 49 (1973), 543--560. (Reviewer: Marvin Marcus) 15A21

[41] MR0352132 (50 #4619) Uhlig, Frank The number of vectors jointly annihilated by two real quadratic forms determines the inertia of matrices in the associated pencil. Pacific J. Math. 49 (1973), 537--542. (Reviewer: Marvin Marcus) 15A21

[42] MR0330192 (48 #8530) Uhlig, Frank Simultaneous block diagonalization of two real symmetric matrices. Linear Algebra and Appl. 7 (1973), 281--289. (Reviewer: R. Merris) 15A21

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