Examples of 'positive definite' in a sentence
Meaning of "positive definite"
means that a mathematical matrix or quantity has specific characteristics that make it positive and non-degenerate. This phrase is often used in mathematics and statistics to describe matrices or quantities that have important properties and applications in various fields, such as optimization, linear algebra, and signal processing
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- Said of a real, square matrix: that the product of it with a column vector on its right side and the transpose of that column vector on its left side is greater or equal to zero, only equaling zero if the vector itself is zero.
- Said of a quadratic form: that the application of it to a tuple is greater or equal to zero, only equaling zero if the tuple itself is zero.
How to use "positive definite" in a sentence
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positive definite
All positive definite matrices are also invertible.
Is the error propagation positive definite symmetric matrix.
Positive definite matrices.
Where is a symmetric positive definite matrix.
Hermitian positive definite matrices are analogous to positive real numbers.
A function with this property is called positive definite.
It is no more positive definite either.
Positive definite function.
Property called symmetric positive definite.
A lattice is positive definite if the norm of all nonzero elements is positive.
The form is said to be positive definite.
Is positive definite.
This means that the function is positive definite.
Would be positive definite.
The permeability tensor is always diagonalizable being both symmetric and positive definite.
See also
Every principal submatrix of a positive definite matrix is positive definite.
Every positive definite matrix is invertible and its inverse is also positive definite.
The matrix is said to be positive definite if.
Every primitive positive definite form is properly equivalent to a unique reduced form.
Which is clearly positive definite.
The positive definite system is then solved using a preconditioned conjugate gradient method.
The initial conditions are symmetric positive definite matrices and.
Even positive definite unimodular lattices exist only in dimensions divisible by 8.
Is a matrix positive definite.
The inspiration for this result is a factorization which characterizes positive definite matrices.
To show that the result is positive definite requires further proof.
We show for average reachable systems that the state second moment is positive definite.
It concerns the expression of positive definite rational functions as sums of quotients of squares.
A scalar product has this signature if and only if it is a positive definite scalar product.
A Hermitian matrix is positive definite if all its eigenvalues are positive.
The corresponding constants are taken in the domain where a certain biblinear form is positive definite.
The proposed approach directly specifies positive definite matrices and fosters parsimony.
The solutions are consistent with Schrödinger equation if this wave function is positive definite.
An Hermitian matrix is positive definite if all its eigenvalues are positive.
Convergence criteria met but final Hessian is not positive definite.
Where R is a positive definite matrix.
The integral is absolutely convergent and the Petersson inner product is a positive definite Hermitian form.
Is the inverse of a positive definite matrix positive?
The second law of thermodynamics requires that the matrix I be positive definite.
Systems of the form Ax b with A symmetric and positive definite arise quite often in applications.
Simultaneous diagonlisation of two quadratic forms, one of which is positive definite.
Is this one positive definite in any sense?
This implies that the matrix A is positive definite.
Obviously, is a positive definite function.
It admits a conserved quantity, but this is not positive definite.
Lagrange proved that all positive definite forms of discriminant -4 are equivalent.
If and, the quadratic form is positive definite.
In contrast to the positive definite case, these vectors need not be linearly independent.
An n by n matrix M is positive definite if.
For this reason, positive definite matrices play an important role in optimization problems.
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Examples of using Positive
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He hoped to see a positive attitude in that regard
Positive feedback from training participants surveyed
That is the positive side of the coin
Examples of using Definite
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We have never had a definite commitment anyway
Definite efforts are being made along those lines
But we had no definite proof till later
