Matrices and Linear Algebra
... of two systems is defined via the idea of equality of the solution set. Definition 2.2.3. Two linear systems Ax = b and Bx = c are called equivalent if one can be converted to the other by elementary equation operations. It is easy to see that this implies the following Theorem 2.2.4. Two linear sys ...
... of two systems is defined via the idea of equality of the solution set. Definition 2.2.3. Two linear systems Ax = b and Bx = c are called equivalent if one can be converted to the other by elementary equation operations. It is easy to see that this implies the following Theorem 2.2.4. Two linear sys ...
Improved bounds on sample size for implicit matrix trace estimators
... a matrix need not be “nearly” diagonal for this method to require small sample size. In fact a matrix can have off-diagonal elements of significant size that are far away from the main diagonal without automatically affecting the performance of the Hutchinson method. However, note also that our boun ...
... a matrix need not be “nearly” diagonal for this method to require small sample size. In fact a matrix can have off-diagonal elements of significant size that are far away from the main diagonal without automatically affecting the performance of the Hutchinson method. However, note also that our boun ...
