Convergence Theorems for Matrix Continued Fractions

David A. Field

doi:10.1137/0515097

Convergence Theorems for Matrix Continued Fractions

SIAM Journal on Mathematical Analysis ◽

10.1137/0515097 ◽

1984 ◽

Vol 15 (6) ◽

pp. 1220-1227 ◽

Cited By ~ 6

Author(s):

David A. Field

Keyword(s):

Continued Fractions ◽

Convergence Theorems ◽

Matrix Continued Fractions

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Algebraic Reduction Methods and their Applications to Matrix Continued Fractions

Asian-European Journal of Mathematics ◽

10.1142/s1793557122501418 ◽

2021 ◽

Author(s):

Takeo Kamizawa

Keyword(s):

Continued Fractions ◽

Reduction Methods ◽

Algebraic Reduction ◽

Matrix Continued Fractions

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A Pincherle Theorem for Matrix Continued Fractions

Journal of Approximation Theory ◽

10.1006/jath.1996.0015 ◽

1996 ◽

Vol 84 (2) ◽

pp. 188-196 ◽

Cited By ~ 8

Author(s):

Calvin D. Ahlbrandt

Keyword(s):

Continued Fractions ◽

Matrix Continued Fractions

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The truncated Hamburger matrix moment problems in the nondegenerate and degenerate cases, and matrix continued fractions

Linear Algebra and its Applications ◽

10.1016/s0024-3795(97)10076-3 ◽

1998 ◽

Vol 277 (1-3) ◽

pp. 199-236 ◽

Cited By ~ 24

Author(s):

Gong-ning Chen ◽

Yong-jian Hu

Keyword(s):

Continued Fractions ◽

Moment Problems ◽

Matrix Continued Fractions ◽

Matrix Moment ◽

Degenerate Cases

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Treatment of non-adiabatic Hamiltonians by matrix continued fractions. I. Electronic two-level system coupled to a single vibrational mode

Journal of Physics C Solid State Physics ◽

10.1088/0022-3719/19/15/016 ◽

1986 ◽

Vol 19 (15) ◽

pp. 2701-2720 ◽

Cited By ~ 22

Author(s):

C Durst ◽

E Sigmund ◽

P Reineker ◽

A Scheuing

Keyword(s):

Continued Fractions ◽

Vibrational Mode ◽

Level System ◽

Matrix Continued Fractions

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Convergence of matrix continued fractions

Linear Algebra and its Applications ◽

10.1016/s0024-3795(00)00196-8 ◽

2000 ◽

Vol 320 (1-3) ◽

pp. 115-129 ◽

Cited By ~ 10

Author(s):

Mustapha Raissouli ◽

Ali Kacha

Keyword(s):

Continued Fractions ◽

Matrix Continued Fractions

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Method of matrix continued fractions for the analysis of nonlinear stochastic systems

Radiophysics and Quantum Electronics ◽

10.1007/bf01039667 ◽

1989 ◽

Vol 32 (2) ◽

pp. 130-135 ◽

Cited By ~ 1

Author(s):

O. V. Muzychuk

Keyword(s):

Continued Fractions ◽

Stochastic Systems ◽

Nonlinear Stochastic Systems ◽

Matrix Continued Fractions

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A doubling approach for determining the solution of Riccati-type equations utilizing matrix continued fractions

International Journal of Systems Science ◽

10.1080/00207728308926452 ◽

1983 ◽

Vol 14 (2) ◽

pp. 209-221

Author(s):

DANIEL W. REPPERGER

Keyword(s):

Continued Fractions ◽

Matrix Continued Fractions

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Matrix Continued Fractions in System Theory

IFAC Proceedings Volumes ◽

10.1016/s1474-6670(17)55004-1 ◽

1987 ◽

Vol 20 (5) ◽

pp. 29-30

Author(s):

A.C. Antoulos

Keyword(s):

System Theory ◽

Continued Fractions ◽

Matrix Continued Fractions

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On covariance propagation using matrix continued fractions

International Journal of Systems Science ◽

10.1080/00207727908941631 ◽

1979 ◽

Vol 10 (8) ◽

pp. 913-925 ◽

Cited By ~ 3

Author(s):

D. W. REPPERGER

Keyword(s):

Continued Fractions ◽

Covariance Propagation ◽

Matrix Continued Fractions

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Relaxation dynamics of a particle in the presence of an external potential: exact solution in terms of matrix continued fractions

Physica A Statistical Mechanics and its Applications ◽

10.1016/0378-4371(94)00048-4 ◽

1994 ◽

Vol 208 (3-4) ◽

pp. 462-478 ◽

Cited By ~ 17

Author(s):

W.T. Coffey ◽

Yu.P. Kalmykov ◽

J.T. Waldron

Keyword(s):

Exact Solution ◽

Continued Fractions ◽

External Potential ◽

Relaxation Dynamics ◽

Matrix Continued Fractions

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