465 reputation
314
bio website
location
age
visits member for 1 year, 3 months
seen Jan 14 at 10:45

math


Jan
3
accepted A=B.C if C is non-singular then col(A)=col(B)
Jan
3
asked A=B.C if C is non-singular then col(A)=col(B)
Dec
28
awarded  Inquisitive
Dec
27
comment Need help for a beginner to floating-point arithmetic
@hardmath as you found it, machine epsilon is 0.25. so does this imply that $m_3=0$. Then,all the possible values the mantissa can take:0.110,0.100,0.010,0000?
Dec
27
comment smallest poisitive integer does not belong in floating point system F
so, e is not fixed. it can take multiple values
Dec
27
comment smallest poisitive integer does not belong in floating point system F
am I on the right track?
Dec
27
comment smallest poisitive integer does not belong in floating point system F
to not represent some integers, we need $\beta^{e-t}$ to be larger than 1. in this case the smallest e is t+1. so we have $x=m.\beta$
Dec
27
comment smallest poisitive integer does not belong in floating point system F
but how do would i know that the smaller integers are in F?
Dec
27
comment smallest poisitive integer does not belong in floating point system F
then the answer is clear. ok, i'll try to prove it. thanks
Dec
27
comment smallest poisitive integer does not belong in floating point system F
i need the positive integer. could you please explain why it is $\beta^t +1$
Dec
27
revised smallest poisitive integer does not belong in floating point system F
added 9 characters in body; edited title
Dec
27
asked smallest poisitive integer does not belong in floating point system F
Dec
23
revised Rayleigh quotient ($|r(q)-\lambda|=O(||q-x||_2^2)$ ?)
added 91 characters in body; edited title
Dec
23
revised Rayleigh quotient ($|r(q)-\lambda|=O(||q-x||_2^2)$ ?)
edited body
Dec
23
awarded  Constituent
Dec
17
accepted $\left\Vert J(x)^{-1}\right\Vert<2\left\Vert J(x^*)^{-1}\right\Vert. $?
Dec
16
revised $\left\Vert J(x)^{-1}\right\Vert<2\left\Vert J(x^*)^{-1}\right\Vert. $?
added 145 characters in body
Dec
16
asked $\left\Vert J(x)^{-1}\right\Vert<2\left\Vert J(x^*)^{-1}\right\Vert. $?
Dec
15
awarded  Caucus
Dec
15
comment Rayleigh quotient ($|r(q)-\lambda|=O(||q-x||_2^2)$ ?)
I read that $|r(q)-\lambda|=O(||q-x||^2)$ is only for symmetric matrices. and the other inequality is for any matrix A