Obtaining a matrix of complex values from associations giving the real and imaginary parts of each element?
$begingroup$
I have a list of associations keyed by real and imaginary numbers, like so:
matrix = {
{<|"r" -> 0.368252, "i" -> 0.0199587|>,
<|"r" -> -0.461644, "i" -> 0.109868|>,
<|"r" -> -0.216081, "i" -> 0.562557|>,
<|"r" -> -0.479881, "i" -> -0.212978|>},
{<|"r" -> 0.105028, "i" -> 0.632264|>,
<|"r" -> 0.116589, "i" -> -0.490063|>,
<|"r" -> 0.463378, "i" -> 0.231656|>,
<|"r" -> -0.148665, "i" -> 0.212065|>},
{<|"r" -> 0.463253, "i" -> 0.201161|>,
<|"r" -> 0.460547, "i" -> 0.397829|>,
<|"r" -> 0.222257, "i" -> 0.0129121|>,
<|"r" -> 0.168641, "i" -> -0.544568|>},
{<|"r" -> 0.255221, "i" -> -0.364687|>,
<|"r" -> 0.191895, "i" -> -0.337437|>,
<|"r" -> -0.12278, "i" -> 0.551195|>,
<|"r" -> 0.560485, "i" -> 0.134702|>}
}
Given this, I can write
testmatrix = Join[Values[matrix], 2]`
to get a matrix, but it is a matrix of tuples. How can I get the complex number defined in each <|r -> Re[z], i -> Im[z]|> rather than the tuples?
matrix expression-manipulation associations
edited 3 hours ago
MarcoB
36.6k556112
asked 11 hours ago
MKFMKF
1588
$endgroup$
add a comment |
$begingroup$
I have a list of associations keyed by real and imaginary numbers, like so:
matrix = {
{<|"r" -> 0.368252, "i" -> 0.0199587|>,
<|"r" -> -0.461644, "i" -> 0.109868|>,
<|"r" -> -0.216081, "i" -> 0.562557|>,
<|"r" -> -0.479881, "i" -> -0.212978|>},
{<|"r" -> 0.105028, "i" -> 0.632264|>,
<|"r" -> 0.116589, "i" -> -0.490063|>,
<|"r" -> 0.463378, "i" -> 0.231656|>,
<|"r" -> -0.148665, "i" -> 0.212065|>},
{<|"r" -> 0.463253, "i" -> 0.201161|>,
<|"r" -> 0.460547, "i" -> 0.397829|>,
<|"r" -> 0.222257, "i" -> 0.0129121|>,
<|"r" -> 0.168641, "i" -> -0.544568|>},
{<|"r" -> 0.255221, "i" -> -0.364687|>,
<|"r" -> 0.191895, "i" -> -0.337437|>,
<|"r" -> -0.12278, "i" -> 0.551195|>,
<|"r" -> 0.560485, "i" -> 0.134702|>}
}
Given this, I can write
testmatrix = Join[Values[matrix], 2]`
to get a matrix, but it is a matrix of tuples. How can I get the complex number defined in each <|r -> Re[z], i -> Im[z]|> rather than the tuples?
matrix expression-manipulation associations
edited 3 hours ago
MarcoB
36.6k556112
asked 11 hours ago
MKFMKF
1588
$endgroup$
add a comment |
$begingroup$
I have a list of associations keyed by real and imaginary numbers, like so:
matrix = {
{<|"r" -> 0.368252, "i" -> 0.0199587|>,
<|"r" -> -0.461644, "i" -> 0.109868|>,
<|"r" -> -0.216081, "i" -> 0.562557|>,
<|"r" -> -0.479881, "i" -> -0.212978|>},
{<|"r" -> 0.105028, "i" -> 0.632264|>,
<|"r" -> 0.116589, "i" -> -0.490063|>,
<|"r" -> 0.463378, "i" -> 0.231656|>,
<|"r" -> -0.148665, "i" -> 0.212065|>},
{<|"r" -> 0.463253, "i" -> 0.201161|>,
<|"r" -> 0.460547, "i" -> 0.397829|>,
<|"r" -> 0.222257, "i" -> 0.0129121|>,
<|"r" -> 0.168641, "i" -> -0.544568|>},
{<|"r" -> 0.255221, "i" -> -0.364687|>,
<|"r" -> 0.191895, "i" -> -0.337437|>,
<|"r" -> -0.12278, "i" -> 0.551195|>,
<|"r" -> 0.560485, "i" -> 0.134702|>}
}
Given this, I can write
testmatrix = Join[Values[matrix], 2]`
to get a matrix, but it is a matrix of tuples. How can I get the complex number defined in each <|r -> Re[z], i -> Im[z]|> rather than the tuples?
matrix expression-manipulation associations
edited 3 hours ago
MarcoB
36.6k556112
asked 11 hours ago
MKFMKF
1588
$endgroup$
I have a list of associations keyed by real and imaginary numbers, like so:
matrix = {
{<|"r" -> 0.368252, "i" -> 0.0199587|>,
<|"r" -> -0.461644, "i" -> 0.109868|>,
<|"r" -> -0.216081, "i" -> 0.562557|>,
<|"r" -> -0.479881, "i" -> -0.212978|>},
{<|"r" -> 0.105028, "i" -> 0.632264|>,
<|"r" -> 0.116589, "i" -> -0.490063|>,
<|"r" -> 0.463378, "i" -> 0.231656|>,
<|"r" -> -0.148665, "i" -> 0.212065|>},
{<|"r" -> 0.463253, "i" -> 0.201161|>,
<|"r" -> 0.460547, "i" -> 0.397829|>,
<|"r" -> 0.222257, "i" -> 0.0129121|>,
<|"r" -> 0.168641, "i" -> -0.544568|>},
{<|"r" -> 0.255221, "i" -> -0.364687|>,
<|"r" -> 0.191895, "i" -> -0.337437|>,
<|"r" -> -0.12278, "i" -> 0.551195|>,
<|"r" -> 0.560485, "i" -> 0.134702|>}
}
Given this, I can write
testmatrix = Join[Values[matrix], 2]`
to get a matrix, but it is a matrix of tuples. How can I get the complex number defined in each <|r -> Re[z], i -> Im[z]|> rather than the tuples?
matrix expression-manipulation associations
matrix expression-manipulation associations
edited 3 hours ago
MarcoB
36.6k556112
asked 11 hours ago
MKFMKF
1588
edited 3 hours ago
MarcoB
36.6k556112
asked 11 hours ago
MKFMKF
1588
edited 3 hours ago
MarcoB
36.6k556112
edited 3 hours ago
MarcoB
36.6k556112
edited 3 hours ago
MarcoB
36.6k556112
36.6k556112
asked 11 hours ago
MKFMKF
1588
asked 11 hours ago
MKFMKF
1588
asked 11 hours ago
MKFMKF
1588
1588
add a comment |
add a comment |
2 Answers
2
active
oldest
votes
$begingroup$
Apply[Complex, matrix, {2}]
{{0.368252 +0.0199587 I,-0.461644+0.109868 I,-0.216081+0.562557 I,-0.479881-0.212978 I},
{0.105028 +0.632264 I,0.116589 -0.490063 I,0.463378 +0.231656 I,-0.148665+0.212065 I},
{0.463253 +0.201161 I,0.460547 +0.397829 I,0.222257 +0.0129121 I,0.168641 -0.544568 I},
{0.255221 -0.364687 I,0.191895 -0.337437 I,-0.12278+0.551195 I,0.560485 +0.134702 I}}
answered 6 hours ago
kglrkglr
186k10203422
$endgroup$
$begingroup$
Huh, that's a great one! A word of warning though: This method produces unpacked arrays.
$endgroup$
– Henrik Schumacher
4 hours ago
$begingroup$
TheApply[Complex]method will also fail if the entries are not integers or inexact real numbers, e.g.Complex @@ {Pi, Sqrt[2]}.
$endgroup$
– J. M. is computer-less♦
3 hours ago
add a comment |
$begingroup$
matrix[[All, All, "r"]] + I matrix[[All, All, "i"]]
or
Join[Values[matrix], 2].{1, I}
answered 11 hours ago
Henrik SchumacherHenrik Schumacher
55.3k576154
$endgroup$
$begingroup$
Even better:Values[matrix].{1, I}, which preserves the matrix structure.
$endgroup$
– J. M. is computer-less♦
3 hours ago
add a comment |
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2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
Apply[Complex, matrix, {2}]
{{0.368252 +0.0199587 I,-0.461644+0.109868 I,-0.216081+0.562557 I,-0.479881-0.212978 I},
{0.105028 +0.632264 I,0.116589 -0.490063 I,0.463378 +0.231656 I,-0.148665+0.212065 I},
{0.463253 +0.201161 I,0.460547 +0.397829 I,0.222257 +0.0129121 I,0.168641 -0.544568 I},
{0.255221 -0.364687 I,0.191895 -0.337437 I,-0.12278+0.551195 I,0.560485 +0.134702 I}}
answered 6 hours ago
kglrkglr
186k10203422
$endgroup$
$begingroup$
Huh, that's a great one! A word of warning though: This method produces unpacked arrays.
$endgroup$
– Henrik Schumacher
4 hours ago
$begingroup$
TheApply[Complex]method will also fail if the entries are not integers or inexact real numbers, e.g.Complex @@ {Pi, Sqrt[2]}.
$endgroup$
– J. M. is computer-less♦
3 hours ago
add a comment |
$begingroup$
Apply[Complex, matrix, {2}]
{{0.368252 +0.0199587 I,-0.461644+0.109868 I,-0.216081+0.562557 I,-0.479881-0.212978 I},
{0.105028 +0.632264 I,0.116589 -0.490063 I,0.463378 +0.231656 I,-0.148665+0.212065 I},
{0.463253 +0.201161 I,0.460547 +0.397829 I,0.222257 +0.0129121 I,0.168641 -0.544568 I},
{0.255221 -0.364687 I,0.191895 -0.337437 I,-0.12278+0.551195 I,0.560485 +0.134702 I}}
answered 6 hours ago
kglrkglr
186k10203422
$endgroup$
$begingroup$
Huh, that's a great one! A word of warning though: This method produces unpacked arrays.
$endgroup$
– Henrik Schumacher
4 hours ago
$begingroup$
TheApply[Complex]method will also fail if the entries are not integers or inexact real numbers, e.g.Complex @@ {Pi, Sqrt[2]}.
$endgroup$
– J. M. is computer-less♦
3 hours ago
add a comment |
$begingroup$
Apply[Complex, matrix, {2}]
{{0.368252 +0.0199587 I,-0.461644+0.109868 I,-0.216081+0.562557 I,-0.479881-0.212978 I},
{0.105028 +0.632264 I,0.116589 -0.490063 I,0.463378 +0.231656 I,-0.148665+0.212065 I},
{0.463253 +0.201161 I,0.460547 +0.397829 I,0.222257 +0.0129121 I,0.168641 -0.544568 I},
{0.255221 -0.364687 I,0.191895 -0.337437 I,-0.12278+0.551195 I,0.560485 +0.134702 I}}
answered 6 hours ago
kglrkglr
186k10203422
$endgroup$
Apply[Complex, matrix, {2}]
{{0.368252 +0.0199587 I,-0.461644+0.109868 I,-0.216081+0.562557 I,-0.479881-0.212978 I},
{0.105028 +0.632264 I,0.116589 -0.490063 I,0.463378 +0.231656 I,-0.148665+0.212065 I},
{0.463253 +0.201161 I,0.460547 +0.397829 I,0.222257 +0.0129121 I,0.168641 -0.544568 I},
{0.255221 -0.364687 I,0.191895 -0.337437 I,-0.12278+0.551195 I,0.560485 +0.134702 I}}
answered 6 hours ago
kglrkglr
186k10203422
answered 6 hours ago
kglrkglr
186k10203422
answered 6 hours ago
kglrkglr
186k10203422
answered 6 hours ago
kglrkglr
186k10203422
186k10203422
$begingroup$
Huh, that's a great one! A word of warning though: This method produces unpacked arrays.
$endgroup$
– Henrik Schumacher
4 hours ago
$begingroup$
TheApply[Complex]method will also fail if the entries are not integers or inexact real numbers, e.g.Complex @@ {Pi, Sqrt[2]}.
$endgroup$
– J. M. is computer-less♦
3 hours ago
add a comment |
$begingroup$
Huh, that's a great one! A word of warning though: This method produces unpacked arrays.
$endgroup$
– Henrik Schumacher
4 hours ago
$begingroup$
TheApply[Complex]method will also fail if the entries are not integers or inexact real numbers, e.g.Complex @@ {Pi, Sqrt[2]}.
$endgroup$
– J. M. is computer-less♦
3 hours ago
$begingroup$
Huh, that's a great one! A word of warning though: This method produces unpacked arrays.
$endgroup$
– Henrik Schumacher
4 hours ago
$begingroup$
Huh, that's a great one! A word of warning though: This method produces unpacked arrays.
$endgroup$
– Henrik Schumacher
4 hours ago
$begingroup$
The
Apply[Complex] method will also fail if the entries are not integers or inexact real numbers, e.g. Complex @@ {Pi, Sqrt[2]}.$endgroup$
– J. M. is computer-less♦
3 hours ago
$begingroup$
The
Apply[Complex] method will also fail if the entries are not integers or inexact real numbers, e.g. Complex @@ {Pi, Sqrt[2]}.$endgroup$
– J. M. is computer-less♦
3 hours ago
add a comment |
$begingroup$
matrix[[All, All, "r"]] + I matrix[[All, All, "i"]]
or
Join[Values[matrix], 2].{1, I}
answered 11 hours ago
Henrik SchumacherHenrik Schumacher
55.3k576154
$endgroup$
$begingroup$
Even better:Values[matrix].{1, I}, which preserves the matrix structure.
$endgroup$
– J. M. is computer-less♦
3 hours ago
add a comment |
$begingroup$
matrix[[All, All, "r"]] + I matrix[[All, All, "i"]]
or
Join[Values[matrix], 2].{1, I}
answered 11 hours ago
Henrik SchumacherHenrik Schumacher
55.3k576154
$endgroup$
$begingroup$
Even better:Values[matrix].{1, I}, which preserves the matrix structure.
$endgroup$
– J. M. is computer-less♦
3 hours ago
add a comment |
$begingroup$
matrix[[All, All, "r"]] + I matrix[[All, All, "i"]]
or
Join[Values[matrix], 2].{1, I}
answered 11 hours ago
Henrik SchumacherHenrik Schumacher
55.3k576154
$endgroup$
matrix[[All, All, "r"]] + I matrix[[All, All, "i"]]
or
Join[Values[matrix], 2].{1, I}
answered 11 hours ago
Henrik SchumacherHenrik Schumacher
55.3k576154
edited 4 hours ago
answered 11 hours ago
Henrik SchumacherHenrik Schumacher
55.3k576154
answered 11 hours ago
Henrik SchumacherHenrik Schumacher
55.3k576154
answered 11 hours ago
Henrik SchumacherHenrik Schumacher
55.3k576154
55.3k576154
$begingroup$
Even better:Values[matrix].{1, I}, which preserves the matrix structure.
$endgroup$
– J. M. is computer-less♦
3 hours ago
add a comment |
$begingroup$
Even better:Values[matrix].{1, I}, which preserves the matrix structure.
$endgroup$
– J. M. is computer-less♦
3 hours ago
$begingroup$
Even better:
Values[matrix].{1, I}, which preserves the matrix structure.$endgroup$
– J. M. is computer-less♦
3 hours ago
$begingroup$
Even better:
Values[matrix].{1, I}, which preserves the matrix structure.$endgroup$
– J. M. is computer-less♦
3 hours ago
add a comment |
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