matrices
vectors
scalars
matrix transpose
conjugate transpose of
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matrix inverse
the inverse of
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the inverse of
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indicates that
is
-by-
![]()
matrix element of
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th row of matrix
![]()
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th column of matrix
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vector dot product
inner product, such as
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vector
in the
th iteration
diag() diagonal of matrix
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diag() diagonal matrix constructed from scalars
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span() spanning space of vectors
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span()
, subspace spanned by the columns of
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Krylov subspace
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matrix whose
th column is
![]()
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entry of
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or
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th column or row of
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submatrix consisting of columns 2, 3, and 5 of
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submatrix consisting of rows 2, 3, and 5 of
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,
sets of real and complex numbers
,
real and complex
-spaces
,
vector and matrix
-norm
the ``
-norm,'' defined as
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matrix Frobenius norm
machine precision
eigenvalues of
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eigenvalues of
with maximum (resp., minimum) modulus
singular values of
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largest and smallest singular values of
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condition number of matrix
, defined as
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complex conjugate of the scalar
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maximum value in set
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minimum value in set
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summation
``big-oh'' asymptotic bound
the real part of the complex number
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the imaginary part of the complex number
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the vector
is orthogonal to the vector
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