Computing inverse of matrix with very small precision values The 2019 Stack Overflow Developer Survey Results Are InComputing the largest Eigenvalue of a very large sparse matrix?Matrix is singular to working precisionMoore-Penrose Pseudo-inverse of a matrix on adding 1 new row/columnFormal inverse of a matrix ressembling Fourier's matrixFinding only first row in a matrix inverseBest approach for numerically computing the pseudo-inverse of a covariance matrixHow to computationally invert a matrix with small values?How can I efficiently calculate the inverse of this symmetric near-tridiagonal matrix?Diagonal approximation of the inverse of a sparse matrixleast squares approximation method for computing the inverse of the matrix $A$
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Computing inverse of matrix with very small precision values
The 2019 Stack Overflow Developer Survey Results Are InComputing the largest Eigenvalue of a very large sparse matrix?Matrix is singular to working precisionMoore-Penrose Pseudo-inverse of a matrix on adding 1 new row/columnFormal inverse of a matrix ressembling Fourier's matrixFinding only first row in a matrix inverseBest approach for numerically computing the pseudo-inverse of a covariance matrixHow to computationally invert a matrix with small values?How can I efficiently calculate the inverse of this symmetric near-tridiagonal matrix?Diagonal approximation of the inverse of a sparse matrixleast squares approximation method for computing the inverse of the matrix $A$
$begingroup$
I have a square matrix with very small values of the order of 10^-9 or 10^-20. I need to compute the inverse of this matrix. But when I try to compute the inverse of the function using Python's inbuilt numpy.linalg.inv(.) function, I get an inverse matrix with all entries 0. Is there any transformation that can be applied to the matrix to extract the inverse approximation out of the original matrix.
matrices inverse numerical-linear-algebra
edited Mar 30 at 16:31
Omnomnomnom
129k794188
asked Mar 30 at 16:26
shaifali Guptashaifali Gupta
166
$endgroup$
add a comment |
$begingroup$
I have a square matrix with very small values of the order of 10^-9 or 10^-20. I need to compute the inverse of this matrix. But when I try to compute the inverse of the function using Python's inbuilt numpy.linalg.inv(.) function, I get an inverse matrix with all entries 0. Is there any transformation that can be applied to the matrix to extract the inverse approximation out of the original matrix.
matrices inverse numerical-linear-algebra
edited Mar 30 at 16:31
Omnomnomnom
129k794188
asked Mar 30 at 16:26
shaifali Guptashaifali Gupta
166
$endgroup$
2
$begingroup$
Multiply the values of your matrix by $10^10$ or something (e.g. something that will make the average of the absolute values of your matrix entries $1$). Then find the inverse.
$endgroup$
– Morgan Rodgers
Mar 30 at 16:32
2
$begingroup$
Are all of the entries small (say, smaller than $10^-9$ in absolute value)? If so, then Morgan's trick should work
$endgroup$
– Omnomnomnom
Mar 30 at 16:34
$begingroup$
Obligatory: Are you sure you need to compute the inverse? There might be more appropriate tools for the task you have in mind.
$endgroup$
– Lorenzo
Mar 30 at 16:41
$begingroup$
@Lorenzo Yes it is inverse itself. However, even if not exact, any approximations will also do.
$endgroup$
– shaifali Gupta
Mar 30 at 23:15
$begingroup$
This may help:geeksforgeeks.org/precision-handling-python and mpmath.org or stackoverflow.com/questions/11522933/…
$endgroup$
– NoChance
Mar 31 at 5:46
add a comment |
$begingroup$
I have a square matrix with very small values of the order of 10^-9 or 10^-20. I need to compute the inverse of this matrix. But when I try to compute the inverse of the function using Python's inbuilt numpy.linalg.inv(.) function, I get an inverse matrix with all entries 0. Is there any transformation that can be applied to the matrix to extract the inverse approximation out of the original matrix.
matrices inverse numerical-linear-algebra
edited Mar 30 at 16:31
Omnomnomnom
129k794188
asked Mar 30 at 16:26
shaifali Guptashaifali Gupta
166
$endgroup$
I have a square matrix with very small values of the order of 10^-9 or 10^-20. I need to compute the inverse of this matrix. But when I try to compute the inverse of the function using Python's inbuilt numpy.linalg.inv(.) function, I get an inverse matrix with all entries 0. Is there any transformation that can be applied to the matrix to extract the inverse approximation out of the original matrix.
matrices inverse numerical-linear-algebra
matrices inverse numerical-linear-algebra
edited Mar 30 at 16:31
Omnomnomnom
129k794188
asked Mar 30 at 16:26
shaifali Guptashaifali Gupta
166
edited Mar 30 at 16:31
Omnomnomnom
129k794188
asked Mar 30 at 16:26
shaifali Guptashaifali Gupta
166
edited Mar 30 at 16:31
Omnomnomnom
129k794188
edited Mar 30 at 16:31
Omnomnomnom
129k794188
edited Mar 30 at 16:31
Omnomnomnom
129k794188
129k794188
asked Mar 30 at 16:26
shaifali Guptashaifali Gupta
166
asked Mar 30 at 16:26
shaifali Guptashaifali Gupta
166
asked Mar 30 at 16:26
shaifali Guptashaifali Gupta
166
166
2
$begingroup$
Multiply the values of your matrix by $10^10$ or something (e.g. something that will make the average of the absolute values of your matrix entries $1$). Then find the inverse.
$endgroup$
– Morgan Rodgers
Mar 30 at 16:32
2
$begingroup$
Are all of the entries small (say, smaller than $10^-9$ in absolute value)? If so, then Morgan's trick should work
$endgroup$
– Omnomnomnom
Mar 30 at 16:34
$begingroup$
Obligatory: Are you sure you need to compute the inverse? There might be more appropriate tools for the task you have in mind.
$endgroup$
– Lorenzo
Mar 30 at 16:41
$begingroup$
@Lorenzo Yes it is inverse itself. However, even if not exact, any approximations will also do.
$endgroup$
– shaifali Gupta
Mar 30 at 23:15
$begingroup$
This may help:geeksforgeeks.org/precision-handling-python and mpmath.org or stackoverflow.com/questions/11522933/…
$endgroup$
– NoChance
Mar 31 at 5:46
add a comment |
2
$begingroup$
Multiply the values of your matrix by $10^10$ or something (e.g. something that will make the average of the absolute values of your matrix entries $1$). Then find the inverse.
$endgroup$
– Morgan Rodgers
Mar 30 at 16:32
2
$begingroup$
Are all of the entries small (say, smaller than $10^-9$ in absolute value)? If so, then Morgan's trick should work
$endgroup$
– Omnomnomnom
Mar 30 at 16:34
$begingroup$
Obligatory: Are you sure you need to compute the inverse? There might be more appropriate tools for the task you have in mind.
$endgroup$
– Lorenzo
Mar 30 at 16:41
$begingroup$
@Lorenzo Yes it is inverse itself. However, even if not exact, any approximations will also do.
$endgroup$
– shaifali Gupta
Mar 30 at 23:15
$begingroup$
This may help:geeksforgeeks.org/precision-handling-python and mpmath.org or stackoverflow.com/questions/11522933/…
$endgroup$
– NoChance
Mar 31 at 5:46
2
2
$begingroup$
Multiply the values of your matrix by $10^10$ or something (e.g. something that will make the average of the absolute values of your matrix entries $1$). Then find the inverse.
$endgroup$
– Morgan Rodgers
Mar 30 at 16:32
$begingroup$
Multiply the values of your matrix by $10^10$ or something (e.g. something that will make the average of the absolute values of your matrix entries $1$). Then find the inverse.
$endgroup$
– Morgan Rodgers
Mar 30 at 16:32
2
2
$begingroup$
Are all of the entries small (say, smaller than $10^-9$ in absolute value)? If so, then Morgan's trick should work
$endgroup$
– Omnomnomnom
Mar 30 at 16:34
$begingroup$
Are all of the entries small (say, smaller than $10^-9$ in absolute value)? If so, then Morgan's trick should work
$endgroup$
– Omnomnomnom
Mar 30 at 16:34
$begingroup$
Obligatory: Are you sure you need to compute the inverse? There might be more appropriate tools for the task you have in mind.
$endgroup$
– Lorenzo
Mar 30 at 16:41
$begingroup$
Obligatory: Are you sure you need to compute the inverse? There might be more appropriate tools for the task you have in mind.
$endgroup$
– Lorenzo
Mar 30 at 16:41
$begingroup$
@Lorenzo Yes it is inverse itself. However, even if not exact, any approximations will also do.
$endgroup$
– shaifali Gupta
Mar 30 at 23:15
$begingroup$
@Lorenzo Yes it is inverse itself. However, even if not exact, any approximations will also do.
$endgroup$
– shaifali Gupta
Mar 30 at 23:15
$begingroup$
This may help:geeksforgeeks.org/precision-handling-python and mpmath.org or stackoverflow.com/questions/11522933/…
$endgroup$
– NoChance
Mar 31 at 5:46
$begingroup$
This may help:geeksforgeeks.org/precision-handling-python and mpmath.org or stackoverflow.com/questions/11522933/…
$endgroup$
– NoChance
Mar 31 at 5:46
add a comment |
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2
$begingroup$
Multiply the values of your matrix by $10^10$ or something (e.g. something that will make the average of the absolute values of your matrix entries $1$). Then find the inverse.
$endgroup$
– Morgan Rodgers
Mar 30 at 16:32
2
$begingroup$
Are all of the entries small (say, smaller than $10^-9$ in absolute value)? If so, then Morgan's trick should work
$endgroup$
– Omnomnomnom
Mar 30 at 16:34
$begingroup$
Obligatory: Are you sure you need to compute the inverse? There might be more appropriate tools for the task you have in mind.
$endgroup$
– Lorenzo
Mar 30 at 16:41
$begingroup$
@Lorenzo Yes it is inverse itself. However, even if not exact, any approximations will also do.
$endgroup$
– shaifali Gupta
Mar 30 at 23:15
$begingroup$
This may help:geeksforgeeks.org/precision-handling-python and mpmath.org or stackoverflow.com/questions/11522933/…
$endgroup$
– NoChance
Mar 31 at 5:46