Mathematics category
Linear Algebra calculators
Vectors, matrices, systems and linear transformations.
253 calculators in this category. Page 4 of 6.
253 calculators available. Search data loads only when you use this field.
Orthogonal Projection Energy Percentage: solve squared original-vector norm
Rearrange the orthogonal projection energy percentage relationship and solve for squared original-vector norm.
Open calculator Linear AlgebraOrthogonal Residual Energy
Calculate squared residual norm from squared original-vector norm and squared projected-vector norm.
Open calculator Linear AlgebraOrthogonal Residual Energy: solve squared original-vector norm
Rearrange the orthogonal residual energy relationship and solve for squared original-vector norm.
Open calculator Linear AlgebraOrthogonal Residual Energy: solve squared projected-vector norm
Rearrange the orthogonal residual energy relationship and solve for squared projected-vector norm.
Open calculator Linear AlgebraMatrix Elimination Pivot Growth Factor
Calculate pivot growth factor from largest magnitude during elimination and largest original matrix magnitude.
Open calculator Linear AlgebraMatrix Elimination Pivot Growth Factor: solve largest magnitude during elimination
Rearrange the matrix elimination pivot growth factor relationship and solve for largest magnitude during elimination.
Open calculator Linear AlgebraMatrix Elimination Pivot Growth Factor: solve largest original matrix magnitude
Rearrange the matrix elimination pivot growth factor relationship and solve for largest original matrix magnitude.
Open calculator Linear AlgebraMatrix Row Diagonal-Dominance Margin
Calculate dominance margin from absolute diagonal entry and sum of off-diagonal magnitudes.
Open calculator Linear AlgebraMatrix Row Diagonal-Dominance Margin: solve absolute diagonal entry
Rearrange the matrix row diagonal-dominance margin relationship and solve for absolute diagonal entry.
Open calculator Linear AlgebraMatrix Row Diagonal-Dominance Margin: solve sum of off-diagonal magnitudes
Rearrange the matrix row diagonal-dominance margin relationship and solve for sum of off-diagonal magnitudes.
Open calculator Linear AlgebraBlock Krylov Subspace Capacity
Calculate maximum generated vector count from iteration count and starting block width.
Open calculator Linear AlgebraBlock Krylov Subspace Capacity: solve iteration count
Rearrange the block krylov subspace capacity relationship and solve for iteration count.
Open calculator Linear AlgebraBlock Krylov Subspace Capacity: solve starting block width
Rearrange the block krylov subspace capacity relationship and solve for starting block width.
Open calculator Linear AlgebraLow-Rank Matrix Storage Compression Ratio
Calculate storage compression ratio from dense matrix parameter count and factorized parameter count.
Open calculator Linear AlgebraLow-Rank Matrix Storage Compression Ratio: solve dense matrix parameter count
Rearrange the low-rank matrix storage compression ratio relationship and solve for dense matrix parameter count.
Open calculator Linear AlgebraLow-Rank Matrix Storage Compression Ratio: solve factorized parameter count
Rearrange the low-rank matrix storage compression ratio relationship and solve for factorized parameter count.
Open calculator Linear AlgebraLeading Singular-Value Energy Percentage
Calculate leading-mode energy percentage from squared leading singular value and squared frobenius norm.
Open calculator Linear AlgebraLeading Singular-Value Energy Percentage: solve squared leading singular value
Rearrange the leading singular-value energy percentage relationship and solve for squared leading singular value.
Open calculator Linear AlgebraLeading Singular-Value Energy Percentage: solve squared Frobenius norm
Rearrange the leading singular-value energy percentage relationship and solve for squared frobenius norm.
Open calculator Linear AlgebraMatrix Stable Rank
Calculate stable rank from squared frobenius norm and squared spectral norm.
Open calculator Linear AlgebraMatrix Stable Rank: solve squared Frobenius norm
Rearrange the matrix stable rank relationship and solve for squared frobenius norm.
Open calculator Linear AlgebraMatrix Stable Rank: solve squared spectral norm
Rearrange the matrix stable rank relationship and solve for squared spectral norm.
Open calculator Linear AlgebraMean Singular Value
Calculate mean singular value from nuclear norm or singular-value sum and singular-value count.
Open calculator Linear AlgebraMean Singular Value: solve nuclear norm or singular-value sum
Rearrange the mean singular value relationship and solve for nuclear norm or singular-value sum.
Open calculator Linear AlgebraMean Singular Value: solve singular-value count
Rearrange the mean singular value relationship and solve for singular-value count.
Open calculator Linear AlgebraRayleigh Quotient
Calculate rayleigh quotient from quadratic form x-transpose-a-x and squared vector norm.
Open calculator Linear AlgebraRayleigh Quotient: solve quadratic form x-transpose-A-x
Rearrange the rayleigh quotient relationship and solve for quadratic form x-transpose-a-x.
Open calculator Linear AlgebraRayleigh Quotient: solve squared vector norm
Rearrange the rayleigh quotient relationship and solve for squared vector norm.
Open calculator Linear AlgebraDeterminant Product Law
Calculate determinant of matrix product from determinant of first square matrix and determinant of second square matrix.
Open calculator Linear AlgebraDeterminant Product Law: solve determinant of first square matrix
Rearrange the determinant product law relationship and solve for determinant of first square matrix.
Open calculator Linear AlgebraDeterminant Product Law: solve determinant of second square matrix
Rearrange the determinant product law relationship and solve for determinant of second square matrix.
Open calculator Linear AlgebraScalar Schur Complement
Calculate schur complement value from retained pivot block value and eliminated coupling correction.
Open calculator Linear AlgebraScalar Schur Complement: solve retained pivot block value
Rearrange the scalar schur complement relationship and solve for retained pivot block value.
Open calculator Linear AlgebraScalar Schur Complement: solve eliminated coupling correction
Rearrange the scalar schur complement relationship and solve for eliminated coupling correction.
Open calculator Linear AlgebraPreconditioner Condition Improvement Factor
Calculate condition improvement factor from original condition number and preconditioned condition number.
Open calculator Linear AlgebraPreconditioner Condition Improvement Factor: solve original condition number
Rearrange the preconditioner condition improvement factor relationship and solve for original condition number.
Open calculator Linear AlgebraPreconditioner Condition Improvement Factor: solve preconditioned condition number
Rearrange the preconditioner condition improvement factor relationship and solve for preconditioned condition number.
Open calculator Linear AlgebraMahalanobis Distance from Quadratic Form
Calculate mahalanobis distance from positive covariance-scaled quadratic form and unit normalization scale.
Open calculator Linear AlgebraMahalanobis Distance from Quadratic Form: solve positive covariance-scaled quadratic form
Rearrange the mahalanobis distance from quadratic form relationship and solve for positive covariance-scaled quadratic form.
Open calculator Linear AlgebraMahalanobis Distance from Quadratic Form: solve unit normalization scale
Rearrange the mahalanobis distance from quadratic form relationship and solve for unit normalization scale.
Open calculator Linear AlgebraBasis Orthogonality Defect
Calculate orthogonality defect from product of basis-vector norms and absolute basis determinant.
Open calculator Linear AlgebraBasis Orthogonality Defect: solve product of basis-vector norms
Rearrange the basis orthogonality defect relationship and solve for product of basis-vector norms.
Open calculator Linear AlgebraBasis Orthogonality Defect: solve absolute basis determinant
Rearrange the basis orthogonality defect relationship and solve for absolute basis determinant.
Open calculator Linear AlgebraEffective Participation Count
Calculate effective participation count from sum of squared normalized weights and unit reciprocal scale.
Open calculator Linear AlgebraEffective Participation Count: solve sum of squared normalized weights
Rearrange the effective participation count relationship and solve for sum of squared normalized weights.
Open calculator Linear AlgebraEffective Participation Count: solve unit reciprocal scale
Rearrange the effective participation count relationship and solve for unit reciprocal scale.
Open calculator Linear AlgebraCondition-Number Decimal Digit Loss
Calculate estimated digits lost from positive condition number and decimal logarithm base.
Open calculator Linear AlgebraCondition-Number Decimal Digit Loss: solve positive condition number
Rearrange the condition-number decimal digit loss relationship and solve for positive condition number.
Open calculator