Keywords: algebraic matrix equation; co-solution; singular regular system; boundary value problem; Drazin inverse; closed form solution
@article{10_21136_AM_1994_134252,
author = {J\'odar, Lucas and Navarro, Enrique},
title = {Co-solutions of algebraic matrix equations and higher order singular regular boundary value problems},
journal = {Applications of Mathematics},
pages = {189--202},
year = {1994},
volume = {39},
number = {3},
doi = {10.21136/AM.1994.134252},
mrnumber = {1273632},
zbl = {0814.34014},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1994.134252/}
}
TY - JOUR AU - Jódar, Lucas AU - Navarro, Enrique TI - Co-solutions of algebraic matrix equations and higher order singular regular boundary value problems JO - Applications of Mathematics PY - 1994 SP - 189 EP - 202 VL - 39 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.21136/AM.1994.134252/ DO - 10.21136/AM.1994.134252 LA - en ID - 10_21136_AM_1994_134252 ER -
%0 Journal Article %A Jódar, Lucas %A Navarro, Enrique %T Co-solutions of algebraic matrix equations and higher order singular regular boundary value problems %J Applications of Mathematics %D 1994 %P 189-202 %V 39 %N 3 %U http://geodesic.mathdoc.fr/articles/10.21136/AM.1994.134252/ %R 10.21136/AM.1994.134252 %G en %F 10_21136_AM_1994_134252
Jódar, Lucas; Navarro, Enrique. Co-solutions of algebraic matrix equations and higher order singular regular boundary value problems. Applications of Mathematics, Tome 39 (1994) no. 3, pp. 189-202. doi: 10.21136/AM.1994.134252
[1] K. M. Anstreicher and U. G. Rotblum: Using Gauss-Jordan elimination to compute the index, generalized nullspaces and the Drazin inverse. Linear Algebra Appl. 85 (1987), 221–239. | DOI | MR
[2] S. L. Campbell: Singular Systems of Differential Equations. Pitman Pubs. Co., 1980. | Zbl
[3] S. L. Campbell and C. D. Meyer, jr.: Generalized Inverses of Linear Transformations. Pitman Pubs. Co., 1979.
[4] R. C. Dorf: Modern Control Systems. Addison-Wesley Pubs. Co., 1974.
[5] R. J. Duffin: A minimax theory of overdamped networks. J. Rat. Mech. and Anal. 4 (1955), 221–223. | MR
[6] R. J. Duffin: Chrystal’s theorem on differential equations systems. J. Math. Anal. and Appl. 8 (1963), 325–331. | DOI | MR
[7] I. Gohberg, M. A. Kaashoek, L. Lerer and L. Rodman: Common multiples and common divisors of matrix polynomials, I. Spectral method. Ind. J. Math. 30 (1981), 321–356. | DOI | MR
[8] J. W. Hooker and C. E. Langenhop: On regular systems of linear differential equations with constant coefficients. Rocky Mountain J. Maths. 12 (1982), 591–614. | DOI | MR
[9] L. Jódar and E. Navarro: Rectangular co-solutions of polynomial matrix equations and applications. Applied Maths. Letters 4(2) (1991), 13–16. | MR
[10] C. E. Langenhop: The Laurent expansion of a nearly singular matrix. Linear Algebra Appls. 4 (1971), 329–340. | MR
[11] MACSYMA. MACSYMA Symbolic Inc., 1989. | Zbl
[12] C. B. Moler: MATLAB User’s guide, Tech. Rep. CS81. Department of Computer Science, Univ. of Mexico, Alburquerque, New Mexico 87131, 1980.
[13] J. M. Ortega: Numerical Analysis, A second course. Academic Press, 1972. | MR | Zbl
[14] K. Rektorys: The Method of Discretization in Time and Partial Differential Equations. D. Reidel Pubs. Co., 1982. | MR | Zbl
[15] C. R. Rao and S. K. Mitra: Generalized Inverse of Matrices and its Applications. John Wiley, 1971. | MR
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