ITERATIVE INVERSION OF SINGLE EXIT COMPARTMENTAL MATRICES

被引：7

作者：

ANDERSON, DH ^{[1
]}

机构：

[1] UNIV TEXAS,HLTH SCI CTR,DEPT MED COMP SCI,DALLAS,TX 75235

来源：

COMPUTERS IN BIOLOGY AND MEDICINE | 1979年 / 9卷 / 04期

关键词：

Acceleration of convergence; Error analysis; Matrix invertibility; Numerical iterative methods; rate of convergence; Simultaneous linear algebraic equations; Single-exit compartmental systems;

D O I：

10.1016/0010-4825(79)90038-6

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

This article develops an iterative method for solving a system of linear algebraic equations in which the coefficient matrix is a compartmental matrix of the single-exit type. Matrix properties, invertibility, ill-conditioning, algorithm acceleration and error analysis are dicussed. © 1980.

引用

页码：317 / 330

页数：14

共 17 条

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[3] BRIGHT PB, 1973, B MATH BIOL, V35, P69
[4] FARNSWORTH CH, UNPUBLISHED
[5] FIFE D, 1972, Mathematical Biosciences, V14, P311, DOI 10.1016/0025-5564(72)90082-X
[6] Forsythe GE., 1977, COMPUTER METHODS MAT
[7] FORSYTHE GE, 1967, COMPUTER SOLUTION LI
[8] SINGULAR VALUE DECOMPOSITION AND LEAST SQUARES SOLUTIONS
GOLUB, GH
REINSCH, C
[J]. NUMERISCHE MATHEMATIK, 1970, 14 (05) : 403 - &
[9] THEOREMS ON LINEAR SYSTEMS
HEARON, JZ
[J]. ANNALS OF THE NEW YORK ACADEMY OF SCIENCES, 1963, 108 (01) : 36 - +
[10] Jacquez J.A., 1972, COMPARTMENTAL ANAL B

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