TY - JOUR
T1 - Exponentials of symmetric matrices through tridiagonal reductions
AU - Lu, Ya Yan
PY - 1998/8/15
Y1 - 1998/8/15
N2 - A simple and efficient numerical algorithm for computing the exponential of a symmetric matrix is developed in this paper. For an n × n matrix, the required number of operations is around 10/3 n3. It is based on the orthogonal reduction to a tridiagonal form and the Chebyshev uniform approximation of e-x on [0, ∞). ©1998 Elsevier Science Inc. All rights reserved.
AB - A simple and efficient numerical algorithm for computing the exponential of a symmetric matrix is developed in this paper. For an n × n matrix, the required number of operations is around 10/3 n3. It is based on the orthogonal reduction to a tridiagonal form and the Chebyshev uniform approximation of e-x on [0, ∞). ©1998 Elsevier Science Inc. All rights reserved.
KW - Chebyshev approximation
KW - Matrix exponential
KW - Tridiagonal reduction
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U2 - 10.1016/S0024-3795(98)00017-2
DO - 10.1016/S0024-3795(98)00017-2
M3 - RGC 21 - Publication in refereed journal
SN - 0024-3795
VL - 279
SP - 317
EP - 324
JO - Linear Algebra and Its Applications
JF - Linear Algebra and Its Applications
IS - 1-3
ER -