Determinants and Their Applications in Mathematical Physics

(Chris Devlin) #1

354 Bibliography


U. Grenander, G. Szeg ̈o,Toeplitz Forms and Their Applications, University of


California Press, Berkely, 1958. [MR 20 (1959), 1349.]

B. Grone, C. Johnson, E. Marques de S ́a, H. Wolkowicz, Improving Hadamard’s


inequality.Linear Multilinear Alg. 16 (1984), 305–322. [Zbl 548 (1985) 15014.]

S. Guerra, Su un determinante collegato ad un sistema di polinomi ortogonali.


Rend. Ist. Mat. Univ. Trieste 10 (1978), 66–79. [Zbl 412 (1980), 33012; MR

53 (1977), 13264.]

E.N. G ̈uichal, A relation between Gram and Wronsky determinants.Linear Alg.


Applic. 72 (1985), 59–72. [Zbl 588 (1986), 41021.]

F. Guil, M. Manas, Finite rank constraints on linear flows and the Davey–


Stewartson equation.J. Phys. A: Math. Gen. 28 (1995), 1713–1726.

B. Gyires,Uber determinanten, deren elemente integrale von funktionen sind. ̈


Acta Univ. Debrecen. Ludovico Kossuth 3 (1957), 41–48. [MR 19 (1958), 945;

Zbl 85 (1960), 10.]

T.T. Ha, J.A. Gibson, A note on the determinant of a functional confluent Van-


dermonde matrix and controllability.Linear Algebra Applic. 30 (1980), 69–75.

[Zbl 445 (1981), 15009.]

L. Halada, A recursive computation of the determinant of a band triangular


matrix. Numerical methods (Third Colloq. Keszthely, 1977), 325–333. [MR

82d: 65042.]

J.H. Halton, A combinatorial proof of Cayley’s theorem on Pfaffians.J. Comb.


Theory 1 (1966), 224–232. [MR 33 (1967), 5647.]

J.H. Halton, An identity of the Jacobi type for Pfaffians.J. Comb. Theory 1


(1966), 333–337. [MR 34 (1967), 75.]

M.A. Hamdan, A type of determinant related to the Laguerre polynomials.J.


Natur. Sci. Math. 6 (1966), 237–239. [Zbl 154 (1968), 64.]

W.L. Hart, Summable infinite determinants.Bull. Am. Math. Soc. 28 (1922),


171–178.

D.J. Hartfiel, R. Loewy, A determinantal version of the Frobenius–K ̈onig theorem.


Linear Multilinear Alg. 16 (1984), 155–166. [Zbl 551 (1985), 15002.]

R. Hartwig, M.E. Fisher, Asymptotic behaviour of Toeplitz matrices and de-


terminants.Arch. Rat. Mech. Anal. 32 (1969), 190–225. [MR 38 (1969),

4888.]

Y. Hase, R. Hirota, Y. Ohta, J. Satsuma, Soliton solutions of the Melnikov


equations.J. Phys. Soc. Japan 58 (1989), 2713–2720. [PA 92 (1989), 139048.]

P. Haukkanen, Higher dimensional ged matrices.Linear Alg. Applic. 170 (1992),


53–63. [Zbl 749 (1992), 15013.]

A. Hautot, On the Hill-determinant method.Phys. Rev. D 33 (1986), 437–443.


[MR 87h: 81027.]

P. Henrici, The quotient difference algorithm.NBS Appl. Math. Ser. 49 (1958),


23–46. [MR 20 (1959), 1410.]

J. Hietarinta, R. Hirota, Multidromian solutions of the Davey–Stewartson


equation.Phys. Lett. A 145 (1990), 237–244. [PA 93 (1990), 78590.]

R. Hirota, Exact solution of the Korteweg–de Vries equation for multiple collisions


of solitons.Phys. Rev. Lett. 27 (1971), 1192–1194. [PA 74 (1971), 81290.]
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