Page 383 - Determinants and Their Applications in Mathematical Physics
P. 383

368   Bibliography

          M. Stojakovic, Quelques applications des determinants rectangulaires aux pro-
            duits int´erieurs et ext´erieurs des matrices. C.R. Acad. Sci. Paris 237 (1953),
            688–690.
          K.B. Stolarsky Quintuple diagonal determinants related to a digital distribution
            problem. Linear Multilinear Alg. 8 (1979), 145–152. [Zbl 422 (1980), 15005.]
          R.R. Stoll, Determinants and plane equations. Am. Math. Monthly 61 (1954),
            255–256.
          W. Strampp, The Kaup–Broer system and trilinear o.d.e.s. of Painlev´ type. J.
                                                                  e
            Math. Phys. 35 (1994), 5850–5861. [MR 96d: 58072.]
          G. Strang, Inverse problems and derivatives of determinants. Arch. Rat. Mech.
            Anal. 114 (1991), 255–266. [MR 92i: 58203.]
          E. Strickland, The symplectic group and determinants. J. Alg. 66 (1980), 511–
            533. [MR 83b: 20045.]
          J.C. Sun, An identity for tridiagonal determinants and its applications. Math.
            Numer. Sinica 4 (1982), 323–327. [MR 85h: 15013.]
          D.A. Supranenko, Determinants of matrices of a minimal irreducible group (in
            Russian). Dokl. Akad. Nauk USSR 274 (1984), 31–35. [MR 85k: 20147.]
          O. Szasz Uber Hermitesche formen mit rekurrierender determinante und ¨uber
            rationale polynome. Math. Z. 11 (1921), 24–57.
          G. Szeg¨o, Solution to Problem 4771 [1958, 47], on Vogt’s determinant, proposed
            by L. Carlitz. Am. Math. Monthly 65 (1958), 780.
          G. Szeg¨o, Hankel forms. AMS Transl. 108 (1977), 1–36. [Zbl 363 (1978), 15004.]
          L. Tan, Some determinantal identities and the big cells. Adv. Math. 101 (1993),
            1–9. [MR 94g: 30105.]
          K. Tanaka, T. Morita, Asymptotic behaviours of modified block Toeplitz
            determinants. Prog. Theoret. Phys. 84 (1990), 392–409. [MR 92a: 15028a.]
          K. Tanaka, T. Morita, Asymptotic forms of some block Toeplitz determinants.
            Prog. Theoret. Phys. 84 (1990), 410–414. [MR 92a: 15028b.]
          H. Tango, Remarks on Schur polynomials (Japanese, English summary). Bull.
            Kyoto Univ. Ed. Ser. B 62 (1983), 1–14. [MR 85e: 14072.]
          O. Taussky, A recurring theorem on determinants. Am. Math. Monthly 56 (1949),
            672–676. [MR 11 (1950), 307.]
          L. Tenca, Su una classe di matrici infinite. Period. Mat. 35 (1957), 219–223. [MR
            19 (1958), 1034.]
          M. Toda, Vibrations of a chain with nonlinear interaction. J. Phys. Soc. Japan
            22 (1967), 431–436.
          M. Toda, Development of the theory of a nonlinear lattice. Suppl. of the Prog. of
            Theor. Phys. 59 (1976), 1–35. [PA 80 (1977), 30105.]
          A. Torgaˇsev, Note on Gram determinant in Wachs spaces. Math. Balk. 8 (1978),
            221–225. [Zbl 523 (1984), 15015; MR 85b: 15002.]
          D.H. Trahan, Cyclic dislocations in determinants and a new expansion of a
            determinant. Am. Math. Monthly 70 (1963), 545. [Zbl 129 (1967), 267.]
   378   379   380   381   382   383   384   385   386   387   388