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International Scholarly Research Notices
Table of Contents
International Scholarly Research Notices
/
2012
/
Article
/
Tab 1
/
Research Article
On the Convergence of the Modified Riccati Equation
Table 1
Calculation burden of matrix operations.
Matrix operation
Calculation burden
𝐴
(
𝑛
×
𝑛
)
+
𝐵
(
𝑛
×
𝑛
)
=
𝑆
symmetric
(
1
/
2
)
(
𝑛
2
+
𝑛
)
𝑐
⋅
𝑆
(
𝑛
×
𝑛
)
symmetric
(
1
/
2
)
(
𝑛
2
+
𝑛
)
𝐴
(
𝑛
×
𝑚
)
⋅
𝐵
(
𝑚
×
𝑘
)
=
𝐶
(
𝑛
×
𝑘
)
2
𝑛
𝑚
𝑘
−
𝑛
𝑘
𝐴
(
𝑛
×
𝑚
)
⋅
𝐵
(
𝑚
×
𝑛
)
=
𝑆
symmetric
𝑛
2
𝑚
+
𝑛
𝑚
−
(
1
/
2
)
(
𝑛
2
+
𝑛
)
[
𝐴
(
𝑛
×
𝑛
)
]
−
1
=
𝐵
(
𝑛
×
𝑛
)
(
1
/
6
)
(
1
6
𝑛
3
−
3
𝑛
2
−
𝑛
)