query: For what $p$ is the condition number of a given matrix $A$, using the $p$ norm on matrices, minimal?
positive_passages.docid: 144357
positive_passages.text: Choose $\rho$ such that $\rho$-norm minimizes the matrix condition number
negative_passages.docid: 104148
negative_passages.text: Showing the norm' is non-negative
negative_passages.docid: 44383
negative_passages.text: Finding rank of a matrix depending on parameter a
negative_passages.docid: 141529
negative_passages.text: Proving existence of a minimum
negative_passages.docid: 77192
negative_passages.text: How to prove $\text{Rank}(AB)\leq \min(\text{Rank}(A), \text{Rank}(B))$?
negative_passages.docid: 86940
negative_passages.text: Proving an inequality in Eigenvalues of a matrix
negative_passages.docid: 115850
negative_passages.text: Minimum of $|ax-by+c|$
negative_passages.docid: 146316
negative_passages.text: what is no. of positive eigen value of symmetric matrix A with some given relationship
negative_passages.docid: 10083
negative_passages.text: Determinant of matrix times a constant.
negative_passages.docid: 117293
negative_passages.text: sufficient and necessary conditions for matrix to be diagonalize or triangular
negative_passages.docid: 21758
negative_passages.text: Rank of the $n \times n$ matrix with ones on the main diagonal and $a$ off the main diagonal
negative_passages.docid: 97487
negative_passages.text: How to prove whether a matrix has rank $1$
negative_passages.docid: 75211
negative_passages.text: Theorem about positive matrices
negative_passages.docid: 99600
negative_passages.text: Show that a 2x2 matrix A is symmetric positive definite if and only if A is symmetric, trace(A) > 0 and det(A) > 0
negative_passages.docid: 98273
negative_passages.text: minimal polynomial of powers of a matrix
negative_passages.docid: 3330
negative_passages.text: Square matrices, ABA = A?
negative_passages.docid: 14111
negative_passages.text: Determining possible minimal polynomials for a rank one linear operator