Solving engineering models using hyperbolic matrix functions
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- 作者：Emilio Defez ; a ; edefez@imm.upv.es" class="auth_mail" title="E-mail the corresponding author ; Jorge Sastreb ; jorsasma@iteam.upv.es" class="auth_mail" title="E-mail the corresponding author ; Javier Ibá ; ñ ; ezc ; jjibanez@dsic.upv.es" class="auth_mail" title="E-mail the corresponding author ; Jesú ; s Peinadoc ; jpeinado@dsic.upv.es" class="auth_mail" title="E-mail the corresponding author
- 关键词：Hermite matrix polynomial ; Hyperbolic matrix functions ; Series expansion
- 刊名：Applied Mathematical Modelling
- 出版年：2016
- 出版时间：15 February 2016
- 年：2016
- 卷：40
- 期：4
- 页码：2837-2844
- 全文大小：425 K
文摘
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A method for computing hyperbolic matrix functions based on Hermite matrix polynomial expansions is presented.
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A new error bound analysis is given.
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A theoretical estimate for the optimal value of its parameters is obtained.
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An efficient and highly-accurate algorithm (implemented in MATLAB) is presented.
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A parallel implementation for large scale problems was developed.