Perturbations of M-matrices via ABS methods and their applications to input-output analysis

Jozsef Abaffy; Anna Torriero; Marida Bertocchi

doi:10.1016/S0096-3003(97)10085-6

Perturbations of M-matrices via ABS methods and their applications to input-output analysis

Jozsef Abaffy, Anna Torriero, Marida Bertocchi

Università Cattolica del Sacro Cuore

Risultato della ricerca: Contributo in rivista › Articolo in rivista › peer review

2 Citazioni (Scopus)

Abstract

Using the implicit Gauss-Cholesky algorithm the authors give a method for solving linear systems with an M -matrix. The number of multiplications needed by the algorithm is O(n 3 /3) . An application to an open Leontief static input-output model is presented together with some numerical results.

Lingua originale	English
pagine (da-a)	145-170
Numero di pagine	26
Rivista	Applied Mathematics and Computation
Volume	94
DOI	https://doi.org/10.1016/S0096-3003(97)10085-6
Stato di pubblicazione	Pubblicato - 1998

Keywords

ABS methods
M-matrices
input-ouput models

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10.1016/S0096-3003(97)10085-6

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title = "Perturbations of M-matrices via ABS methods and their applications to input-output analysis",

abstract = "Using the implicit Gauss-Cholesky algorithm the authors give a method for solving linear systems with an M -matrix. The number of multiplications needed by the algorithm is O(n 3 /3) . An application to an open Leontief static input-output model is presented together with some numerical results.",

keywords = "ABS methods, M-matrices, input-ouput models, ABS methods, M-matrices, input-ouput models",

author = "Jozsef Abaffy and Anna Torriero and Marida Bertocchi",

year = "1998",

doi = "10.1016/S0096-3003(97)10085-6",

language = "English",

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pages = "145--170",

journal = "Applied Mathematics and Computation",

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T1 - Perturbations of M-matrices via ABS methods and their applications to input-output analysis

AU - Abaffy, Jozsef

AU - Torriero, Anna

AU - Bertocchi, Marida

PY - 1998

Y1 - 1998

N2 - Using the implicit Gauss-Cholesky algorithm the authors give a method for solving linear systems with an M -matrix. The number of multiplications needed by the algorithm is O(n 3 /3) . An application to an open Leontief static input-output model is presented together with some numerical results.

AB - Using the implicit Gauss-Cholesky algorithm the authors give a method for solving linear systems with an M -matrix. The number of multiplications needed by the algorithm is O(n 3 /3) . An application to an open Leontief static input-output model is presented together with some numerical results.

KW - ABS methods

KW - M-matrices

KW - input-ouput models

KW - ABS methods

KW - M-matrices

KW - input-ouput models

UR - http://hdl.handle.net/10807/43525

U2 - 10.1016/S0096-3003(97)10085-6

DO - 10.1016/S0096-3003(97)10085-6

M3 - Article

SN - 0096-3003

VL - 94

SP - 145

EP - 170

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

ER -

Perturbations of M-matrices via ABS methods and their applications to input-output analysis

Abstract

Keywords

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