สูตรของเมทริกซ์เลขชี้กำลังสำหรับเมทริกซ์จำนวนจริงสมมาตรเสมือนอันดับ 5
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Published:
Dec 29, 2019
Keywords:
exponential matrix skew-symmetric matrices Sylvester's formula
Main Article Content
Abstract
In this paper the formula of the matrix when A is a skew-symmetric real matric of order 5 is derived.
Article Details
Section
Physical Sciences
References
[1] Moler, C. and van Loan, C., 1978, Nineteen dubious ways to compute the exponential of a matrix, SIAM Rev. 20: 801-836.
[2] Celledoni, E. and Iserles, A., 1998, Approximating the Exponential from a Lie Algebra to a Lie Group, Technical Report DAMTP 1998/NA03, Numerical Analysis, Cambridge University, Cambridge.
[3] Celledoni, E. and Iserles, A., 1998, Mathods for the Approximation of the Matrix Exponential in Lie-algebraic Setting, Technical Report DAMTP 1999/NA03, Numerical Analysis, Cambridge University, Cambridge.
[4] Politi, T., 2001, A formula for the exponential of a real skew-symmetric matrix of order 4, BIT 41: 842-845.
[2] Celledoni, E. and Iserles, A., 1998, Approximating the Exponential from a Lie Algebra to a Lie Group, Technical Report DAMTP 1998/NA03, Numerical Analysis, Cambridge University, Cambridge.
[3] Celledoni, E. and Iserles, A., 1998, Mathods for the Approximation of the Matrix Exponential in Lie-algebraic Setting, Technical Report DAMTP 1999/NA03, Numerical Analysis, Cambridge University, Cambridge.
[4] Politi, T., 2001, A formula for the exponential of a real skew-symmetric matrix of order 4, BIT 41: 842-845.