18987 Rafal Ablamowicz: Matrix exponential via Clifford algebras. J. Nonlin. Math. Phys. 5/3 (1998), 294-313. 18988 Tom Apostol: Some explicit formulas for the exponential matrix e^{tA}. Am. Math. Monthly 76/3 (1969), 289-292. 18511 Hosny Attaya: Radioactivity computation of steady-state and pulsed fusion reactors operation. 3rd Int. Symp. Fusion Nuclear Techn. 1994, 19p. Winfried Auzinger/Gabriela Schranz-Kirlinger: Matrixanalysis. Vorl. SS 2005 TU Wien, 65p. 18517 Bertan Bakkaloglu/Kayhan Erciyes/Cetin Koc: A parallelization of Parlett's algorithmm for functions of triangular matrices. Internet 1995, 8p. R. Bapat/T. Raghavan: Non-negative matrices and applications. Cambridge UP 2009, 360p. Eur 50. 18521 R. Bartels/G. Stewart: Solution of the matrix equation AX+XB=C. Comm. ACM 15/9 (1972), 820-826. 19336 Richard Bellman: Introduction to matrix analysis. SIAM 1997, 400p. Eur 38. 19302 Rajae Ben Taher/M. Mouline/Mustapha Rachidi: Fibonacci-Horner decomposition of the matrix exponential and the fundamental system of solutions. El. J. Lin. Algebra 15 (2006), 178-190. 19301 Rajae Ben Taher/Mustapha Rachidi: Linear recurrence relations in the algebra of matrices and applications. Lin. Algebra Appl. 330 (2001), 15-24. 18986 Rajae Ben Taher/Mustapha Rachidi: Some explicit formulas for the polynomial decomposition of the matrix exponential and applications. Lin. Alg. Appl. 350 (2002), 171-184. M. Berger/Y. Wang: Bounded semigroups of matrices. Linear Alg. Appl. 166 (1992), 21-28. Abraham Berman/Naomi Shaked-Monderer: Completely positive matrices. World Scientific 2003, 220p. $38. 19038 Dennis Bernstein: Matrix mathematics. Princeton UP 2005, 730p. Eur 59. 6023 Dario Bini/Milvio Capovani/Ornella Menchi: Metodi numerici per l'algebra lineare. Zanichelli 1988. Dario Bini/Victor Pan: Polynomial and matrix computations. Birkhaeuser 1994, 430p. 3-7643-3786-9. DM 118. A. Bjo''rk/S. Duff: Sparse linear least squares problems. In Bjo''rk/Plemmons/Schneider 1981, ... A. Bjo''rk/J. Plemmons/H. Schneider (ed.): Large scale matrix problems. North-Holland 1981. 7258 Silvia Bonatti: Alcuni aspetti computazionali della teoria delle matrici. Tesi, Ferrara 1995. 18981 Richard Bumby: Hand computation of matrix exponentials. Internet ca. 2007, 11p. 19315 Gregory Call/Daniel Velleman: Pascal's matrices. Am. Math. Monthly 100 (1993), 372-376. 19008 Elena Celledoni/Arieh Iserles: Methods for approximation of the matrix exponential in a Lie-algebraic setting. Internet 1999, 23p. F. Chatelin: Eigenvalues of matrices. Wiley 1993, 380p. Pds. 45. A very recommendable text (H. Mitsch). 18984 Hon-wing Cheng/Stephen Yau: More explicit formulas for the matrix exponential. Lin. Alg. Appl. 262 (1997), 131-163. 6186 D. Cordes: Spaerlich besetzte Matrizen. 5806 Kulisch, 129-135. 19022 Philip Davies/Nicholas Higham: A Schur-Parlett algorithm for computing matrix functions. SIAM J. Matrix An. Appl. 25/2 (2003), 464-485. 19024 Philip Davis: Review of the book "Matrix mathematics" by Dennis Bernstein. SIAM News 38/6 (2005), 2p. 19679 James Demmel: Applied numerical linear algebra. SIAM 1997, 420p. Eur 61. 18985 Luca Dieci/Alessandra Papini: Pade' approximation for the exponential of a block triangular form. Lin. Alg. Appl. 308 (2000), 183-202. J. Dongarra/I. Duff/D. Sorensen/H. van der Vorst: Solving linear systems on vector and shared memory computers. SIAM 1991, 250p. $49. 18980 Alan Edelman/Gilbert Strang: Pascal matrices. Am. Math. Monthly 111/3 (2004), 189-197. Claudia Fassino: Computation of matrix functions. PhD thesis Univ. Pisa 1993. M. Fiedler: Geometry of the numerical range of a matrix. Lin. Algebra Appl. 37 (1981), 81-96. 19076 Wilhelm Forst/Dieter Hoffmann: Gewöhnliche Differentialgleichungen. Springer 2005, 380p. Eur 25. Enthält eine ausführliche und gut lesbare Darstellung der Matrixfunktionen, basierend auf der Sylvester-Buchheimschen Spektraldarstellung. 21595 Shmuel Friedland: Methods of algebraic geometry in matrix theory. Internet 2002, 30p. 19002 Andreas Frommer/Valeria Simoncini: Matrix functions. Internet 2006, 25p. 19730 Giulia Giantesio: Modelli matematici per la crescita tumorale. Tesi LT Univ. Ferrara 2007, 112p. Contains a very detailed exposition of several types of explicit formulas for the matrix exponential. W. Givens: Numerical computation of characteristic values of a real symmetric matrix. OAK Ridge Nat. Lab. ORN-1574, 1954. S. Godunov/A. Antonov/O. Kiriljuk/V. Kostin: Guaranteed accuracy in numerical linear algebra. Kluwer 1993, 540p. $242. Gene Golub: Numerical methods for solving linear least squares problems. Num. Math. 7 (1965), 206-216. Gene Golub/C. Reinsch: Singular value decomposition and least squares solutions. Num. Math. 14 (1970), 403-420. 21352 Gene Golub/Charles Van Loan: Matrix computations. Johns Hopkins UP 1996, 690p. Eur 34. 5018 Fred Gustavson: A survey of some sparse matrix theory and techniques. 2687 Chatterji/, 63-105. W. Hackbusch: Iterative Loesung grosser schwachbesetzter Gleichungssysteme. Teubner 1990, 380p. DM 42. Eine gelungene Mischung zwischen Monographie und Lehrbuch. 18982 William Harris/Jay Fillmore/Donald Smith: Matrix exponentials - another approach. SIAM Rev. 43/4 (2001), 694-706. Nicholas Higham: Accuracy and stability of numerical algorithms. SIAM 2002, 680p. 19023 Nicholas Higham: The scaling and squaring method for the matrix exponential revisited. SIAM J. Matrix An. Appl. 26/4 (2005), 1179-1193. 18989 Nicholas Higham: Functions of matrices. Internet 2005, 24p. In L. Hogben (ed.): Handbook of linear algebra. Chapman & Hall 2006. 19174 Nicholas Higham: Review of the book "Spectra and pseudospectra" by Trefethen/Embree. Bull. AMS 44/2 (2007), 277-284. Roger Horn: The Hadamard product. Proc. Symp. Appl. Math. 40 (1990), 87-169. 6102 Roger Horn/C. Johnson: Matrix analysis. Cambridge UP 1993, 560p. 0-521-38632-2 (pb.). DM 64. 6164 Roger Horn/Charles Johnson: Topics in matrix analysis. Cambridge UP 1994, 600p. 0-521-46713-6 (pb). DM 70. 18510 C. Huang: An efficient algorithm for computing powers of triangular matrices. Proc. ACM Conf. 1978, vol. 2, 954-957. 28238 Chrisitan Ikenmeyer/Vladimir Lysikov: Strassen's (2x2)-matrix multiplication algorithm - a conceptual perspective. Ann. Univ. Ferrara 65 (2019), 241-248. 19009 Arieh Iserles Antonella Zanna: Efficient computation of the matrix exponential by generalized polar decompositions. Internet 2002, 41p. Rudolf Kippenhahn: Über den Wertevorrat einer Matrix. Math. Nachr. 6 (1951), 193-228. 18520 Peter Kirrinnis: Fast algorithms for the Sylvester equation AX-XB=C. Theor. Comp. Sci. 259 (2001), 623-638. 18519 Cetin Koc: A divide-and-conquer algorithm for functions of triangular matrices. Internet 1996, 9p. 18518 Cetin Koc/Bertan Bakkaloglu: A parallel algorithm for functions of triangular matrices. Computing 57/1 (1996), 85-92. 20189 J. Landsberg: Geometry and the complexity of matrix multiplication. Bull. AMS 45/2 (2008), 247-284. C. Lawson/R. Hanson: Solving least squares problems. Prentice-Hall 1980. 19316 Uwe Luther/Karla Rost: Matrix exponentials and inversion of confluent Vandermonde matrices. Internet 2003, 19p. 18978 John Mathews: Bibliography for the matrix exponential. Internet 2003, 4p. 6134 Guenter Mayer: Ergebnisverifikation beim algebraischen Eigenwertproblem. 6031 Chatterji/, 111-130. 23680 Cleve Moler/Donald Morrison: Singular value analysis of cryptograms. Am. Math. Monthly 90/2 (1983), 78-87. 18513 Cleve Moler/Charles Van Loan: Nineteen dubious ways to compute the exponential of a matrix, twenty-five years later. SIAM Rev. 45/1 (2003), 3-49. The original paper from 1978, with an update. F. Murnaghan: On the field of values of a square matrix. Proc. Nat. Ac. Sci. 18 (1932), 246-248. M. Nashed: Generalized inverses and applications. Academic Press 1970. John von Neumann/H. Goldstine: Numerical inverting of matrices of high order. Bull. AMS 53 (1947), 1021-1099. 9613 Markus Olschowka/Arnold Neumaier: A new pivoting strategy for Gaussian elimination. Internet 1993, 23p. V. Pan: Structured matrices and polynomials. Unified fast algorithms. Birkha''user/Springer 2001, 280p. SFR 108. 5991 Beresford Parlett: The Rayleigh quotient iteration and some generalizations for non-normal matrices. Math. Comp. 28 (1974), 679-693. 5991 Beresford Parlett: The symmetric eigenvalue problem. Prentice-Hall 1980. 19003 Marina Popolizio/Valeria Simoncini: Acceleration techniques for approximating the matrix exponential operator. Internet 2006, 24p. 15945 Calyampudi Radhakrishna Rao/M. Bhaskara Rao: Matrix algebra and its applications to statistcs and econometrics. World Scientific 2001, 530p. $80. 19085 Robert Rinehart: The equivalence of definitions of a matrix function. Am. Math. Monthly 62 (1955), 395-414. F. Roesler: Riemann's hypothesis as an eigenvalue problem. Linear Algebra Appl. 81 (1986), 153-198. Gian-Carlo Rota/Gilbert Strang: A note on the joint spectral radius. Kon. Nederl. Akad. Wet. Proc. A 63 (1960), 379-381. 6185 S. Rump: Lineare Probleme. 5806 Kulisch, 119-127. 6024 Luigi Salce: Lezioni sulle matrici. Zanichelli 1993. 4798 H. Schwarz: Numerik symmetrischer Matrizen. Teubner 1972. 18975 Roger Sidje: Expokit - a software package for computing matrix exponentials. ACM Trans. Math. Software 24/1 (1998), 130-156. G. Stewart: Perturbation bounds for the QR factorization of a matrix. SIAM J. Num. Analysis 14 (1977), 509-518. R. Thompson: Special cases of a matrix exponential. Lin. Algebra Appl. ... (1988), 283-292. Lloyd Trefethen/Mark Embree: Spectra and pseudospectra - the behavior of nonnormal matrices and operators. Princeton UP 2005, 610p. 18512 Charles Van Loan: A study of the matrix exponential. Reissue, Univ. Manchester 2006, 58p. 18983 Luis Verde Star: Functions of matrices. Lin. Alg. Appl. 406 (2005), 285-300. 19323 Robert Ward: Numerical computation of the matrix exponential with accuracy estimate. SIAM J. Num. An. 14/4 (1977), 600-610. 4800 J. Wilkinson/C. Reinsch: Linear algebra. Springer 1971. Shu-fang Xu: An introduction to inverse algebraic eigenvalue problems. Vieweg 1998, 300p. DM 108. Z. Zlatev: Computational methods for general sparse matrices. Kluwer 1991, 330p. HFL 185. 18979 ZZ: Pascal matrix. Wikipedia 2007, 2p. 19001 ZZ: Diplom- bzw. Masterarbeit zum Thema Berechnung der Exponentialfunktion einer Matrix. Internet 2007, 2p.