![]() ![]() ![]() (SIAM Journal on Scientific and Statistical Computing, 1981).įunction File: bw = bandwidth ( A, type) Function File: = bandwidth ( A) Generalized eigenvalue problem balancing uses Ward’s algorithm The eigenvalue balancing option opt may be one of:Īlgebraic eigenvalue balancing uses standard LAPACK routines. In DD for the algebraic eigenvalue problem. ![]() Same magnitude and CC and DD are permuted diagonal matrices as In which AA and BB have nonzero elements of approximately the If four output values are requested, compute AA = In this case, DD = eye(n)(:, P) * diag ( D), where The diagonal D and the permutation P separately as vectors. If two output values are requested, balance returns Results of eigenvalueĬalculation are typically improved by balancing first. This allows theĮquilibration to be computed without round-off. Matrix and D is a diagonal matrix of powers of two. Is a matrix whose row and column norms are roughly equal in magnitude, and Next: Matrix Factorizations, Previous: Techniques Used for Linear Algebra, Up: Linear Algebra ġ8.2 Basic Matrix Functions Built-in Function: AA = balance ( A) Built-in Function: AA = balance ( A, opt) Built-in Function: = balance ( A, opt) Built-in Function: = balance ( A, opt) Built-in Function: = balance ( A, B, opt)īalance the matrix A to reduce numerical errors in future ![]()
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